TSTP Solution File: ALG149+1 by Princess---230619
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- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG149+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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:37:54 EDT 2023
% Result : Unsatisfiable 25.25s 4.29s
% Output : Proof 207.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG149+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 04:40:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.61 ________ _____
% 0.21/0.61 ___ __ \_________(_)________________________________
% 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.61
% 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.61 (2023-06-19)
% 0.21/0.61
% 0.21/0.61 (c) Philipp Rümmer, 2009-2023
% 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.61 Amanda Stjerna.
% 0.21/0.61 Free software under BSD-3-Clause.
% 0.21/0.61
% 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.61
% 0.21/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.63 Running up to 7 provers in parallel.
% 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.57/1.56 Prover 4: Preprocessing ...
% 4.57/1.57 Prover 1: Preprocessing ...
% 4.57/1.60 Prover 0: Preprocessing ...
% 4.57/1.60 Prover 5: Preprocessing ...
% 4.57/1.60 Prover 2: Preprocessing ...
% 4.57/1.60 Prover 3: Preprocessing ...
% 4.57/1.60 Prover 6: Preprocessing ...
% 9.48/2.12 Prover 2: Constructing countermodel ...
% 9.48/2.12 Prover 3: Constructing countermodel ...
% 9.85/2.16 Prover 0: Constructing countermodel ...
% 9.85/2.16 Prover 6: Constructing countermodel ...
% 9.85/2.18 Prover 4: Constructing countermodel ...
% 9.85/2.19 Prover 1: Constructing countermodel ...
% 11.98/2.48 Prover 5: Constructing countermodel ...
% 25.25/4.28 Prover 0: proved (3629ms)
% 25.25/4.28
% 25.25/4.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.25/4.29
% 25.25/4.29 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 25.25/4.29 Prover 2: stopped
% 25.25/4.29 Prover 5: stopped
% 25.25/4.29 Prover 6: stopped
% 25.67/4.29 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 25.67/4.30 Prover 3: stopped
% 25.67/4.31 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 25.67/4.31 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 25.67/4.31 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 26.15/4.58 Prover 7: Preprocessing ...
% 27.36/4.60 Prover 8: Preprocessing ...
% 28.16/4.64 Prover 10: Preprocessing ...
% 28.41/4.68 Prover 13: Preprocessing ...
% 28.41/4.68 Prover 11: Preprocessing ...
% 29.14/4.77 Prover 8: Constructing countermodel ...
% 29.74/4.92 Prover 7: Constructing countermodel ...
% 30.29/4.93 Prover 10: Constructing countermodel ...
% 30.29/4.95 Prover 13: Constructing countermodel ...
% 30.56/4.97 Prover 11: Constructing countermodel ...
% 64.67/9.65 Prover 13: stopped
% 64.67/9.65 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 65.80/9.80 Prover 16: Preprocessing ...
% 67.95/10.01 Prover 16: Constructing countermodel ...
% 109.44/15.46 Prover 16: stopped
% 109.44/15.46 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 110.38/15.64 Prover 19: Preprocessing ...
% 111.63/15.75 Prover 19: Constructing countermodel ...
% 113.25/16.01 Prover 1: stopped
% 136.97/19.24 Prover 19: stopped
% 177.67/26.89 Prover 7: stopped
% 182.81/27.97 Prover 4: stopped
% 192.80/30.99 Prover 10: Found proof (size 214956136)
% 192.80/30.99 Prover 10: proved (26685ms)
% 192.80/30.99 Prover 8: stopped
% 192.80/30.99 Prover 11: stopped
% 192.80/30.99
% 192.80/30.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 192.80/30.99
% 195.33/31.90 % SZS output start Proof for theBenchmark
% 195.33/32.02 Assumptions after simplification:
% 195.33/32.02 ---------------------------------
% 195.33/32.02
% 195.33/32.02 (ax1)
% 195.33/32.07 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.33/32.07 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 195.33/32.07 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 195.33/32.07 $i] : ? [v14: $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 195.33/32.07 op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 195.33/32.07 op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 195.33/32.07 op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 195.33/32.07 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 195.33/32.07 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 195.33/32.07 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 195.33/32.07 e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 195.33/32.07 v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 195.33/32.07 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 195.33/32.07 v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 195.33/32.07 v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 195.33/32.07 v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 195.33/32.07 (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 195.33/32.07 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 195.33/32.07 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 195.33/32.07
% 195.33/32.07 (ax10)
% 195.33/32.07 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.33/32.07 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e2, e0) = v1 & $i(v1) & ( ~
% 195.33/32.07 (v1 = e1) | ( ~ (v2 = e3) & op(e1, e0) = v2 & $i(v2))))))
% 195.33/32.07
% 195.33/32.07 (ax11)
% 195.33/32.08 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.33/32.08 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e1, e0) = v1 & $i(v1) & ( ~
% 195.33/32.08 (v1 = e2) | ( ~ (v2 = e3) & op(e2, e0) = v2 & $i(v2))))))
% 195.33/32.08
% 195.33/32.08 (ax12)
% 195.33/32.08 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.33/32.08 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e3, e1) = v1 & $i(v1) & ( ~
% 195.33/32.08 (v1 = e2) | ( ~ (v2 = e0) & op(e2, e1) = v2 & $i(v2))))))
% 195.33/32.08
% 195.33/32.08 (ax13)
% 195.33/32.08 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.33/32.08 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e2, e1) = v1 & $i(v1) & ( ~
% 195.33/32.08 (v1 = e3) | ( ~ (v2 = e0) & op(e3, e1) = v2 & $i(v2))))))
% 195.33/32.08
% 195.33/32.08 (ax14)
% 195.59/32.08 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.59/32.08 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e3, e1) = v1 & $i(v1) & ( ~
% 195.59/32.08 (v1 = e0) | ( ~ (v2 = e2) & op(e0, e1) = v2 & $i(v2))))))
% 195.59/32.08
% 195.59/32.08 (ax15)
% 195.59/32.08 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.59/32.08 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e0, e1) = v1 & $i(v1) & ( ~
% 195.59/32.08 (v1 = e3) | ( ~ (v2 = e2) & op(e3, e1) = v2 & $i(v2))))))
% 195.59/32.09
% 195.59/32.09 (ax16)
% 195.59/32.09 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.59/32.09 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e2, e1) = v1 & $i(v1) & ( ~
% 195.59/32.09 (v1 = e0) | ( ~ (v2 = e3) & op(e0, e1) = v2 & $i(v2))))))
% 195.59/32.09
% 195.59/32.09 (ax17)
% 195.59/32.09 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.59/32.09 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e0, e1) = v1 & $i(v1) & ( ~
% 195.59/32.09 (v1 = e2) | ( ~ (v2 = e3) & op(e2, e1) = v2 & $i(v2))))))
% 195.59/32.09
% 195.59/32.09 (ax18)
% 195.59/32.09 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.59/32.09 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e3, e2) = v1 & $i(v1) & ( ~
% 195.59/32.09 (v1 = e1) | ( ~ (v2 = e0) & op(e1, e2) = v2 & $i(v2))))))
% 195.59/32.09
% 195.59/32.09 (ax19)
% 195.59/32.09 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.59/32.09 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e1, e2) = v1 & $i(v1) & ( ~
% 195.59/32.09 (v1 = e3) | ( ~ (v2 = e0) & op(e3, e2) = v2 & $i(v2))))))
% 195.59/32.09
% 195.59/32.09 (ax2)
% 195.94/32.12 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.12 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 195.94/32.12 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 195.94/32.12 $i] : ? [v14: $i] : ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 =
% 195.94/32.12 e3 & op(e3, e2) = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3,
% 195.94/32.12 e0) = e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 195.94/32.12 e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3)) & ((v15
% 195.94/32.12 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11 = e2 &
% 195.94/32.12 op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 = e2 & op(e3,
% 195.94/32.12 e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 & op(e1, e3) = e2)
% 195.94/32.12 | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 & op(e3, e3) = e1) | (v14 = e1
% 195.94/32.12 & op(e3, e2) = e1) | (v11 = e1 & op(e3, e1) = e1) | (v6 = e1 & op(e3,
% 195.94/32.12 e0) = e1)) & ((v15 = e1 & op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) =
% 195.94/32.12 e1) | (v9 = e1 & op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15
% 195.94/32.12 = e0 & op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 195.94/32.12 op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 & op(e3,
% 195.94/32.12 e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 & op(e1, e3) = e0)
% 195.94/32.12 | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 & op(e3, e2) = e3) | (v12 = e3
% 195.94/32.12 & op(e2, e2) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v2 = e3 & op(e0, e2)
% 195.94/32.12 = e3)) & ((v14 = e2 & op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 195.94/32.12 (v8 = e2 & op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 195.94/32.12 op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 & op(e1, e2)
% 195.94/32.12 = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 & op(e3, e2) = e0) |
% 195.94/32.12 (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v2 = e0 &
% 195.94/32.12 op(e0, e2) = e0)) & ((v13 = e3 & op(e2, e3) = e3) | (v12 = e3 & op(e2,
% 195.94/32.12 e2) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) =
% 195.94/32.12 e3)) & ((v13 = e2 & op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 195.94/32.12 (v10 = e2 & op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 195.94/32.12 op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 & op(e2, e1)
% 195.94/32.12 = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 & op(e2, e3) = e0) |
% 195.94/32.12 (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v5 = e0 &
% 195.94/32.12 op(e2, e0) = e0)) & ((v11 = e3 & op(e3, e1) = e3) | (v10 = e3 & op(e2,
% 195.94/32.12 e1) = e3) | (v7 = e3 & op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3))
% 195.94/32.12 & ((v11 = e2 & op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 195.94/32.12 op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 & op(e3,
% 195.94/32.12 e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 & op(e1, e1) = e1)
% 195.94/32.12 | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 & op(e3, e1) = e0) | (v10 = e0
% 195.94/32.12 & op(e2, e1) = e0) | (v7 = e0 & op(e1, e1) = e0) | (v1 = e0 & op(e0, e1)
% 195.94/32.12 = e0)) & ((v9 = e3 & op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) |
% 195.94/32.12 (v7 = e3 & op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 195.94/32.12 op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 & op(e1, e1) =
% 195.94/32.12 e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 & op(e1, e3) = e1) | (v8
% 195.94/32.12 = e1 & op(e1, e2) = e1) | (v7 = e1 & op(e1, e1) = e1) | (v4 = e1 &
% 195.94/32.12 op(e1, e0) = e1)) & ((v9 = e0 & op(e1, e3) = e0) | (v8 = e0 & op(e1, e2)
% 195.94/32.12 = e0) | (v7 = e0 & op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) &
% 195.94/32.12 ((v6 = e3 & op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 195.94/32.12 op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 & op(e3, e0)
% 195.94/32.12 = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 & op(e1, e0) = e2) | (v0
% 195.94/32.12 = e2 & op(e0, e0) = e2)) & ((v6 = e1 & op(e3, e0) = e1) | (v5 = e1 &
% 195.94/32.12 op(e2, e0) = e1) | (v4 = e1 & op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) =
% 195.94/32.12 e1)) & ((v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1
% 195.94/32.12 = e3 & op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 195.94/32.12 op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 & op(e0, e1) =
% 195.94/32.12 e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 & op(e0, e3) = e1) | (v2
% 195.94/32.12 = e1 & op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 &
% 195.94/32.12 op(e0, e0) = e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v6 = e0 & op(e3,
% 195.94/32.12 e0) = e0) | (v5 = e0 & op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) =
% 195.94/32.12 e0)) & ((v3 = e0 & op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) |
% 195.94/32.12 (v1 = e0 & op(e0, e1) = e0)))))
% 195.94/32.12
% 195.94/32.12 (ax20)
% 195.94/32.12 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.12 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e3, e2) = v1 & $i(v1) & ( ~
% 195.94/32.12 (v1 = e0) | ( ~ (v2 = e1) & op(e0, e2) = v2 & $i(v2))))))
% 195.94/32.12
% 195.94/32.12 (ax21)
% 195.94/32.12 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.12 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e0, e2) = v1 & $i(v1) & ( ~
% 195.94/32.12 (v1 = e3) | ( ~ (v2 = e1) & op(e3, e2) = v2 & $i(v2))))))
% 195.94/32.12
% 195.94/32.12 (ax22)
% 195.94/32.13 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.13 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e1, e2) = v1 & $i(v1) & ( ~
% 195.94/32.13 (v1 = e0) | ( ~ (v2 = e3) & op(e0, e2) = v2 & $i(v2))))))
% 195.94/32.13
% 195.94/32.13 (ax23)
% 195.94/32.13 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.13 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e0, e2) = v1 & $i(v1) & ( ~
% 195.94/32.13 (v1 = e1) | ( ~ (v2 = e3) & op(e1, e2) = v2 & $i(v2))))))
% 195.94/32.13
% 195.94/32.13 (ax24)
% 195.94/32.13 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.13 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e2, e3) = v1 & $i(v1) & ( ~
% 195.94/32.13 (v1 = e1) | ( ~ (v2 = e0) & op(e1, e3) = v2 & $i(v2))))))
% 195.94/32.13
% 195.94/32.13 (ax25)
% 195.94/32.13 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.13 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e1, e3) = v1 & $i(v1) & ( ~
% 195.94/32.13 (v1 = e2) | ( ~ (v2 = e0) & op(e2, e3) = v2 & $i(v2))))))
% 195.94/32.13
% 195.94/32.13 (ax26)
% 195.94/32.13 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.13 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e2, e3) = v1 & $i(v1) & ( ~
% 195.94/32.13 (v1 = e0) | ( ~ (v2 = e1) & op(e0, e3) = v2 & $i(v2))))))
% 195.94/32.13
% 195.94/32.13 (ax27)
% 195.94/32.13 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.13 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e0, e3) = v1 & $i(v1) & ( ~
% 195.94/32.13 (v1 = e2) | ( ~ (v2 = e1) & op(e2, e3) = v2 & $i(v2))))))
% 195.94/32.13
% 195.94/32.13 (ax28)
% 195.94/32.13 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.13 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e1, e3) = v1 & $i(v1) & ( ~
% 195.94/32.13 (v1 = e0) | ( ~ (v2 = e2) & op(e0, e3) = v2 & $i(v2))))))
% 195.94/32.13
% 195.94/32.13 (ax29)
% 195.94/32.13 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.13 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e0, e3) = v1 & $i(v1) & ( ~
% 195.94/32.13 (v1 = e1) | ( ~ (v2 = e2) & op(e1, e3) = v2 & $i(v2))))))
% 195.94/32.13
% 195.94/32.13 (ax3)
% 195.94/32.14 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.14 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 195.94/32.14 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 195.94/32.14 $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~
% 195.94/32.14 (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 195.94/32.14 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 195.94/32.14 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 195.94/32.14 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 195.94/32.14 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 195.94/32.14 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 195.94/32.14 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 195.94/32.14 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 195.94/32.14 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 195.94/32.14 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 195.94/32.14 v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 195.94/32.14 v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 195.94/32.14 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 195.94/32.14 op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 195.94/32.14 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 195.94/32.14 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 195.94/32.14
% 195.94/32.14 (ax4)
% 195.94/32.14 ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~
% 195.94/32.14 (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 195.94/32.14
% 195.94/32.14 (ax5)
% 195.94/32.15 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.15 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 195.94/32.15 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 195.94/32.15 $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v3 = e3) & ~ (v2 = e2) & ~ (v1 =
% 195.94/32.15 e1) & ~ (v0 = e0) & op(e3, e3) = v3 & op(e2, e2) = v2 & op(e1, e1) = v1 &
% 195.94/32.15 op(e0, e0) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((op(e3, e2) = v15 &
% 195.94/32.15 op(e1, e2) = v8 & op(e0, e2) = v5 & $i(v15) & $i(v8) & $i(v5) & ( ~ (v3
% 195.94/32.15 = e2) | v15 = e3) & ( ~ (v1 = e2) | v8 = e1) & ( ~ (v0 = e2) | v5 =
% 195.94/32.15 e0) & (v15 = e1 | ( ~ (v14 = e2) & op(e3, e1) = v14 & $i(v14))) & (v15
% 195.94/32.15 = e0 | ( ~ (v13 = e2) & op(e3, e0) = v13 & $i(v13))) & (v8 = e3 | ( ~
% 195.94/32.15 (v9 = e2) & op(e1, e3) = v9 & $i(v9))) & (v8 = e0 | ( ~ (v7 = e2) &
% 195.94/32.15 op(e1, e0) = v7 & $i(v7))) & (v5 = e3 | ( ~ (v6 = e2) & op(e0, e3) =
% 195.94/32.15 v6 & $i(v6))) & (v5 = e1 | ( ~ (v4 = e2) & op(e0, e1) = v4 &
% 195.94/32.15 $i(v4))) & (v2 = e3 | ( ~ (v12 = e2) & op(e2, e3) = v12 & $i(v12)))
% 195.94/32.15 & (v2 = e1 | ( ~ (v11 = e2) & op(e2, e1) = v11 & $i(v11))) & (v2 = e0 |
% 195.94/32.15 ( ~ (v10 = e2) & op(e2, e0) = v10 & $i(v10)))) | (op(e3, e1) = v14 &
% 195.94/32.15 op(e2, e1) = v11 & op(e0, e1) = v4 & $i(v14) & $i(v11) & $i(v4) & ( ~
% 195.94/32.15 (v3 = e1) | v14 = e3) & ( ~ (v2 = e1) | v11 = e2) & ( ~ (v0 = e1) | v4
% 195.94/32.15 = e0) & (v14 = e2 | ( ~ (v15 = e1) & op(e3, e2) = v15 & $i(v15))) &
% 195.94/32.15 (v14 = e0 | ( ~ (v13 = e1) & op(e3, e0) = v13 & $i(v13))) & (v11 = e3 |
% 195.94/32.15 ( ~ (v12 = e1) & op(e2, e3) = v12 & $i(v12))) & (v11 = e0 | ( ~ (v10 =
% 195.94/32.15 e1) & op(e2, e0) = v10 & $i(v10))) & (v4 = e3 | ( ~ (v6 = e1) &
% 195.94/32.15 op(e0, e3) = v6 & $i(v6))) & (v4 = e2 | ( ~ (v5 = e1) & op(e0, e2) =
% 195.94/32.15 v5 & $i(v5))) & (v1 = e3 | ( ~ (v9 = e1) & op(e1, e3) = v9 &
% 195.94/32.15 $i(v9))) & (v1 = e2 | ( ~ (v8 = e1) & op(e1, e2) = v8 & $i(v8))) &
% 195.94/32.15 (v1 = e0 | ( ~ (v7 = e1) & op(e1, e0) = v7 & $i(v7)))) | (op(e3, e0) =
% 195.94/32.15 v13 & op(e2, e0) = v10 & op(e1, e0) = v7 & $i(v13) & $i(v10) & $i(v7) &
% 195.94/32.16 ( ~ (v3 = e0) | v13 = e3) & ( ~ (v2 = e0) | v10 = e2) & ( ~ (v1 = e0) |
% 195.94/32.16 v7 = e1) & (v13 = e2 | ( ~ (v15 = e0) & op(e3, e2) = v15 & $i(v15))) &
% 195.94/32.16 (v13 = e1 | ( ~ (v14 = e0) & op(e3, e1) = v14 & $i(v14))) & (v10 = e3 |
% 195.94/32.16 ( ~ (v12 = e0) & op(e2, e3) = v12 & $i(v12))) & (v10 = e1 | ( ~ (v11 =
% 195.94/32.16 e0) & op(e2, e1) = v11 & $i(v11))) & (v7 = e3 | ( ~ (v9 = e0) &
% 195.94/32.16 op(e1, e3) = v9 & $i(v9))) & (v7 = e2 | ( ~ (v8 = e0) & op(e1, e2) =
% 195.94/32.16 v8 & $i(v8))) & (v0 = e3 | ( ~ (v6 = e0) & op(e0, e3) = v6 &
% 195.94/32.16 $i(v6))) & (v0 = e2 | ( ~ (v5 = e0) & op(e0, e2) = v5 & $i(v5))) &
% 195.94/32.16 (v0 = e1 | ( ~ (v4 = e0) & op(e0, e1) = v4 & $i(v4)))) | (op(e2, e3) =
% 195.94/32.16 v12 & op(e1, e3) = v9 & op(e0, e3) = v6 & $i(v12) & $i(v9) & $i(v6) & (
% 195.94/32.16 ~ (v2 = e3) | v12 = e2) & ( ~ (v1 = e3) | v9 = e1) & ( ~ (v0 = e3) |
% 195.94/32.16 v6 = e0) & (v12 = e1 | ( ~ (v11 = e3) & op(e2, e1) = v11 & $i(v11))) &
% 195.94/32.16 (v12 = e0 | ( ~ (v10 = e3) & op(e2, e0) = v10 & $i(v10))) & (v9 = e2 | (
% 195.94/32.16 ~ (v8 = e3) & op(e1, e2) = v8 & $i(v8))) & (v9 = e0 | ( ~ (v7 = e3)
% 195.94/32.16 & op(e1, e0) = v7 & $i(v7))) & (v6 = e2 | ( ~ (v5 = e3) & op(e0, e2)
% 195.94/32.16 = v5 & $i(v5))) & (v6 = e1 | ( ~ (v4 = e3) & op(e0, e1) = v4 &
% 195.94/32.16 $i(v4))) & (v3 = e2 | ( ~ (v15 = e3) & op(e3, e2) = v15 & $i(v15)))
% 195.94/32.16 & (v3 = e1 | ( ~ (v14 = e3) & op(e3, e1) = v14 & $i(v14))) & (v3 = e0 |
% 195.94/32.16 ( ~ (v13 = e3) & op(e3, e0) = v13 & $i(v13))))))
% 195.94/32.16
% 195.94/32.16 (ax6)
% 195.94/32.16 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.16 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e3, e0) = v1 & $i(v1) & ( ~
% 195.94/32.16 (v1 = e2) | ( ~ (v2 = e1) & op(e2, e0) = v2 & $i(v2))))))
% 195.94/32.16
% 195.94/32.16 (ax7)
% 195.94/32.16 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.16 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e2, e0) = v1 & $i(v1) & ( ~
% 195.94/32.16 (v1 = e3) | ( ~ (v2 = e1) & op(e3, e0) = v2 & $i(v2))))))
% 195.94/32.16
% 195.94/32.16 (ax8)
% 195.94/32.16 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.16 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e3, e0) = v1 & $i(v1) & ( ~
% 195.94/32.16 (v1 = e1) | ( ~ (v2 = e2) & op(e1, e0) = v2 & $i(v2))))))
% 195.94/32.16
% 195.94/32.16 (ax9)
% 195.94/32.16 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 195.94/32.16 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e1, e0) = v1 & $i(v1) & ( ~
% 195.94/32.16 (v1 = e3) | ( ~ (v2 = e2) & op(e3, e0) = v2 & $i(v2))))))
% 195.94/32.16
% 195.94/32.16 (function-axioms)
% 195.94/32.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 195.94/32.16 v2) = v1) | ~ (op(v3, v2) = v0))
% 195.94/32.16
% 195.94/32.16 Those formulas are unsatisfiable:
% 195.94/32.16 ---------------------------------
% 195.94/32.16
% 195.94/32.16 Begin of proof
% 196.20/32.16 |
% 196.20/32.16 | ALPHA: (ax1) implies:
% 196.20/32.17 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 196.20/32.17 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 196.20/32.17 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 196.20/32.17 | ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 196.20/32.17 | & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 196.20/32.17 | = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 196.20/32.17 | e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 196.20/32.17 | op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 196.20/32.17 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 196.20/32.17 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 196.20/32.17 | = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 196.20/32.17 | = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 196.20/32.17 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 196.20/32.17 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 196.20/32.17 | | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 196.20/32.17 | = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 196.20/32.17 | e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 196.20/32.17 | (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 196.20/32.17 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 196.20/32.17 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 196.20/32.17 | = e0))
% 196.20/32.17 |
% 196.20/32.17 | ALPHA: (ax2) implies:
% 196.20/32.18 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 196.20/32.18 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 196.20/32.18 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 196.20/32.19 | ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 = e3 & op(e3, e2)
% 196.20/32.19 | = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3, e0) =
% 196.20/32.19 | e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 196.20/32.19 | e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3))
% 196.20/32.19 | & ((v15 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11
% 196.20/32.19 | = e2 & op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 =
% 196.20/32.19 | e2 & op(e3, e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 &
% 196.20/32.19 | op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 &
% 196.20/32.19 | op(e3, e3) = e1) | (v14 = e1 & op(e3, e2) = e1) | (v11 = e1 &
% 196.20/32.19 | op(e3, e1) = e1) | (v6 = e1 & op(e3, e0) = e1)) & ((v15 = e1 &
% 196.20/32.19 | op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) = e1) | (v9 = e1 &
% 196.20/32.19 | op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15 = e0 &
% 196.20/32.19 | op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 196.20/32.19 | op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 &
% 196.20/32.19 | op(e3, e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 &
% 196.20/32.19 | op(e1, e3) = e0) | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 &
% 196.20/32.19 | op(e3, e2) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v8 = e3 &
% 196.20/32.19 | op(e1, e2) = e3) | (v2 = e3 & op(e0, e2) = e3)) & ((v14 = e2 &
% 196.20/32.19 | op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v8 = e2 &
% 196.20/32.19 | op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 196.20/32.19 | op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 &
% 196.20/32.19 | op(e1, e2) = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 &
% 196.20/32.19 | op(e3, e2) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 &
% 196.20/32.19 | op(e1, e2) = e0) | (v2 = e0 & op(e0, e2) = e0)) & ((v13 = e3 &
% 196.20/32.19 | op(e2, e3) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v10 = e3 &
% 196.20/32.19 | op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) = e3)) & ((v13 = e2 &
% 196.20/32.19 | op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v10 = e2 &
% 196.20/32.19 | op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 196.20/32.19 | op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 &
% 196.20/32.19 | op(e2, e1) = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 &
% 196.20/32.19 | op(e2, e3) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 &
% 196.20/32.19 | op(e2, e1) = e0) | (v5 = e0 & op(e2, e0) = e0)) & ((v11 = e3 &
% 196.20/32.19 | op(e3, e1) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v7 = e3 &
% 196.20/32.19 | op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3)) & ((v11 = e2 &
% 196.20/32.19 | op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 196.20/32.19 | op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 &
% 196.20/32.19 | op(e3, e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 &
% 196.20/32.19 | op(e1, e1) = e1) | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 &
% 196.20/32.19 | op(e3, e1) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v7 = e0 &
% 196.20/32.19 | op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = e0)) & ((v9 = e3 &
% 196.20/32.19 | op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v7 = e3 &
% 196.20/32.19 | op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 196.20/32.19 | op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 &
% 196.20/32.19 | op(e1, e1) = e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 &
% 196.20/32.19 | op(e1, e3) = e1) | (v8 = e1 & op(e1, e2) = e1) | (v7 = e1 &
% 196.20/32.19 | op(e1, e1) = e1) | (v4 = e1 & op(e1, e0) = e1)) & ((v9 = e0 &
% 196.20/32.19 | op(e1, e3) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v7 = e0 &
% 196.20/32.19 | op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v6 = e3 &
% 196.20/32.19 | op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 196.20/32.19 | op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 &
% 196.20/32.19 | op(e3, e0) = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 &
% 196.20/32.19 | op(e1, e0) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v6 = e1 &
% 196.20/32.19 | op(e3, e0) = e1) | (v5 = e1 & op(e2, e0) = e1) | (v4 = e1 &
% 196.20/32.19 | op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v3 = e3 &
% 196.20/32.19 | op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1 = e3 &
% 196.20/32.19 | op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 196.20/32.19 | op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 &
% 196.20/32.19 | op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 &
% 196.20/32.19 | op(e0, e3) = e1) | (v2 = e1 & op(e0, e2) = e1) | (v1 = e1 &
% 196.20/32.19 | op(e0, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v0 = e0 &
% 196.20/32.19 | op(e0, e0) = e0) | (((v6 = e0 & op(e3, e0) = e0) | (v5 = e0 &
% 196.20/32.19 | op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v3 = e0 &
% 196.20/32.19 | op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) | (v1 = e0 &
% 196.20/32.19 | op(e0, e1) = e0)))))
% 196.20/32.19 |
% 196.20/32.19 | ALPHA: (ax3) implies:
% 196.20/32.19 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 196.20/32.19 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 196.20/32.19 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 196.20/32.19 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 196.20/32.19 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 196.20/32.19 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 196.20/32.19 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 196.20/32.19 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 196.20/32.19 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 196.20/32.19 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 196.20/32.19 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 196.20/32.19 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 196.20/32.19 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 196.20/32.19 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 196.20/32.19 | v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) = v11 & op(e3,
% 196.20/32.19 | e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) = v10 &
% 196.20/32.19 | op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) =
% 196.20/32.19 | v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0,
% 196.20/32.19 | e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) &
% 196.20/32.19 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 196.20/32.19 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 196.20/32.19 |
% 196.20/32.19 | ALPHA: (ax4) implies:
% 196.20/32.19 | (4) ~ (e1 = e0)
% 196.20/32.19 | (5) ~ (e2 = e0)
% 196.20/32.19 | (6) ~ (e2 = e1)
% 196.20/32.19 | (7) ~ (e3 = e0)
% 196.20/32.19 | (8) ~ (e3 = e1)
% 196.20/32.19 | (9) ~ (e3 = e2)
% 196.20/32.19 |
% 196.20/32.19 | ALPHA: (ax5) implies:
% 196.20/32.20 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 196.20/32.20 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 196.20/32.20 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 196.20/32.20 | $i] : ? [v15: $i] : ( ~ (v3 = e3) & ~ (v2 = e2) & ~ (v1 = e1) &
% 196.20/32.20 | ~ (v0 = e0) & op(e3, e3) = v3 & op(e2, e2) = v2 & op(e1, e1) = v1 &
% 196.20/32.20 | op(e0, e0) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((op(e3, e2) =
% 196.20/32.20 | v15 & op(e1, e2) = v8 & op(e0, e2) = v5 & $i(v15) & $i(v8) &
% 196.20/32.20 | $i(v5) & ( ~ (v3 = e2) | v15 = e3) & ( ~ (v1 = e2) | v8 = e1) &
% 196.20/32.20 | ( ~ (v0 = e2) | v5 = e0) & (v15 = e1 | ( ~ (v14 = e2) & op(e3,
% 196.20/32.20 | e1) = v14 & $i(v14))) & (v15 = e0 | ( ~ (v13 = e2) &
% 196.20/32.20 | op(e3, e0) = v13 & $i(v13))) & (v8 = e3 | ( ~ (v9 = e2) &
% 196.20/32.20 | op(e1, e3) = v9 & $i(v9))) & (v8 = e0 | ( ~ (v7 = e2) &
% 196.20/32.20 | op(e1, e0) = v7 & $i(v7))) & (v5 = e3 | ( ~ (v6 = e2) &
% 196.20/32.20 | op(e0, e3) = v6 & $i(v6))) & (v5 = e1 | ( ~ (v4 = e2) &
% 196.20/32.20 | op(e0, e1) = v4 & $i(v4))) & (v2 = e3 | ( ~ (v12 = e2) &
% 196.20/32.20 | op(e2, e3) = v12 & $i(v12))) & (v2 = e1 | ( ~ (v11 = e2) &
% 196.20/32.20 | op(e2, e1) = v11 & $i(v11))) & (v2 = e0 | ( ~ (v10 = e2) &
% 196.20/32.20 | op(e2, e0) = v10 & $i(v10)))) | (op(e3, e1) = v14 & op(e2,
% 196.20/32.20 | e1) = v11 & op(e0, e1) = v4 & $i(v14) & $i(v11) & $i(v4) & ( ~
% 196.20/32.20 | (v3 = e1) | v14 = e3) & ( ~ (v2 = e1) | v11 = e2) & ( ~ (v0 =
% 196.20/32.20 | e1) | v4 = e0) & (v14 = e2 | ( ~ (v15 = e1) & op(e3, e2) =
% 196.20/32.20 | v15 & $i(v15))) & (v14 = e0 | ( ~ (v13 = e1) & op(e3, e0) =
% 196.20/32.20 | v13 & $i(v13))) & (v11 = e3 | ( ~ (v12 = e1) & op(e2, e3) =
% 196.20/32.20 | v12 & $i(v12))) & (v11 = e0 | ( ~ (v10 = e1) & op(e2, e0) =
% 196.20/32.20 | v10 & $i(v10))) & (v4 = e3 | ( ~ (v6 = e1) & op(e0, e3) = v6
% 196.20/32.20 | & $i(v6))) & (v4 = e2 | ( ~ (v5 = e1) & op(e0, e2) = v5 &
% 196.20/32.20 | $i(v5))) & (v1 = e3 | ( ~ (v9 = e1) & op(e1, e3) = v9 &
% 196.20/32.20 | $i(v9))) & (v1 = e2 | ( ~ (v8 = e1) & op(e1, e2) = v8 &
% 196.20/32.20 | $i(v8))) & (v1 = e0 | ( ~ (v7 = e1) & op(e1, e0) = v7 &
% 196.20/32.20 | $i(v7)))) | (op(e3, e0) = v13 & op(e2, e0) = v10 & op(e1,
% 196.20/32.20 | e0) = v7 & $i(v13) & $i(v10) & $i(v7) & ( ~ (v3 = e0) | v13 =
% 196.20/32.20 | e3) & ( ~ (v2 = e0) | v10 = e2) & ( ~ (v1 = e0) | v7 = e1) &
% 196.20/32.20 | (v13 = e2 | ( ~ (v15 = e0) & op(e3, e2) = v15 & $i(v15))) & (v13
% 196.20/32.20 | = e1 | ( ~ (v14 = e0) & op(e3, e1) = v14 & $i(v14))) & (v10 =
% 196.20/32.20 | e3 | ( ~ (v12 = e0) & op(e2, e3) = v12 & $i(v12))) & (v10 = e1
% 196.20/32.20 | | ( ~ (v11 = e0) & op(e2, e1) = v11 & $i(v11))) & (v7 = e3 | (
% 196.20/32.20 | ~ (v9 = e0) & op(e1, e3) = v9 & $i(v9))) & (v7 = e2 | ( ~
% 196.20/32.20 | (v8 = e0) & op(e1, e2) = v8 & $i(v8))) & (v0 = e3 | ( ~ (v6
% 196.20/32.20 | = e0) & op(e0, e3) = v6 & $i(v6))) & (v0 = e2 | ( ~ (v5 =
% 196.20/32.20 | e0) & op(e0, e2) = v5 & $i(v5))) & (v0 = e1 | ( ~ (v4 =
% 196.20/32.20 | e0) & op(e0, e1) = v4 & $i(v4)))) | (op(e2, e3) = v12 &
% 196.20/32.20 | op(e1, e3) = v9 & op(e0, e3) = v6 & $i(v12) & $i(v9) & $i(v6) &
% 196.20/32.20 | ( ~ (v2 = e3) | v12 = e2) & ( ~ (v1 = e3) | v9 = e1) & ( ~ (v0 =
% 196.20/32.20 | e3) | v6 = e0) & (v12 = e1 | ( ~ (v11 = e3) & op(e2, e1) =
% 196.20/32.20 | v11 & $i(v11))) & (v12 = e0 | ( ~ (v10 = e3) & op(e2, e0) =
% 196.20/32.20 | v10 & $i(v10))) & (v9 = e2 | ( ~ (v8 = e3) & op(e1, e2) = v8
% 196.20/32.20 | & $i(v8))) & (v9 = e0 | ( ~ (v7 = e3) & op(e1, e0) = v7 &
% 196.20/32.20 | $i(v7))) & (v6 = e2 | ( ~ (v5 = e3) & op(e0, e2) = v5 &
% 196.20/32.20 | $i(v5))) & (v6 = e1 | ( ~ (v4 = e3) & op(e0, e1) = v4 &
% 196.20/32.20 | $i(v4))) & (v3 = e2 | ( ~ (v15 = e3) & op(e3, e2) = v15 &
% 196.20/32.20 | $i(v15))) & (v3 = e1 | ( ~ (v14 = e3) & op(e3, e1) = v14 &
% 196.20/32.20 | $i(v14))) & (v3 = e0 | ( ~ (v13 = e3) & op(e3, e0) = v13 &
% 196.20/32.20 | $i(v13))))))
% 196.20/32.20 |
% 196.20/32.20 | ALPHA: (ax6) implies:
% 196.20/32.20 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 196.20/32.20 | ( ~ (v0 = e3) | (op(e3, e0) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 196.20/32.20 | = e1) & op(e2, e0) = v2 & $i(v2))))))
% 196.20/32.20 |
% 196.20/32.20 | ALPHA: (ax7) implies:
% 196.20/32.20 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 196.20/32.20 | ( ~ (v0 = e2) | (op(e2, e0) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 196.20/32.20 | = e1) & op(e3, e0) = v2 & $i(v2))))))
% 196.20/32.20 |
% 196.20/32.20 | ALPHA: (ax8) implies:
% 196.20/32.20 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 196.20/32.20 | ( ~ (v0 = e3) | (op(e3, e0) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 196.20/32.20 | = e2) & op(e1, e0) = v2 & $i(v2))))))
% 196.20/32.20 |
% 196.20/32.20 | ALPHA: (ax9) implies:
% 196.20/32.20 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 196.20/32.20 | ( ~ (v0 = e1) | (op(e1, e0) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 196.20/32.20 | = e2) & op(e3, e0) = v2 & $i(v2))))))
% 196.20/32.20 |
% 196.20/32.20 | ALPHA: (ax10) implies:
% 196.20/32.20 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 196.20/32.20 | ( ~ (v0 = e2) | (op(e2, e0) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 196.20/32.20 | = e3) & op(e1, e0) = v2 & $i(v2))))))
% 196.20/32.20 |
% 196.20/32.20 | ALPHA: (ax11) implies:
% 196.20/32.21 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e1) | (op(e1, e0) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 196.20/32.21 | = e3) & op(e2, e0) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax12) implies:
% 196.20/32.21 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e3) | (op(e3, e1) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 196.20/32.21 | = e0) & op(e2, e1) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax13) implies:
% 196.20/32.21 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e2) | (op(e2, e1) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 196.20/32.21 | = e0) & op(e3, e1) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax14) implies:
% 196.20/32.21 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e3) | (op(e3, e1) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 196.20/32.21 | = e2) & op(e0, e1) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax15) implies:
% 196.20/32.21 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e0) | (op(e0, e1) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 196.20/32.21 | = e2) & op(e3, e1) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax16) implies:
% 196.20/32.21 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e2) | (op(e2, e1) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 196.20/32.21 | = e3) & op(e0, e1) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax17) implies:
% 196.20/32.21 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e0) | (op(e0, e1) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 196.20/32.21 | = e3) & op(e2, e1) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax18) implies:
% 196.20/32.21 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e3) | (op(e3, e2) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 196.20/32.21 | = e0) & op(e1, e2) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax19) implies:
% 196.20/32.21 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e1) | (op(e1, e2) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 196.20/32.21 | = e0) & op(e3, e2) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax20) implies:
% 196.20/32.21 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e3) | (op(e3, e2) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 196.20/32.21 | = e1) & op(e0, e2) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax21) implies:
% 196.20/32.21 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e0) | (op(e0, e2) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 196.20/32.21 | = e1) & op(e3, e2) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax22) implies:
% 196.20/32.21 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e1) | (op(e1, e2) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 196.20/32.21 | = e3) & op(e0, e2) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax23) implies:
% 196.20/32.21 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e0) | (op(e0, e2) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 196.20/32.21 | = e3) & op(e1, e2) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax24) implies:
% 196.20/32.21 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e2) | (op(e2, e3) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 196.20/32.21 | = e0) & op(e1, e3) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax25) implies:
% 196.20/32.21 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e1) | (op(e1, e3) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 196.20/32.21 | = e0) & op(e2, e3) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax26) implies:
% 196.20/32.21 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 196.20/32.21 | ( ~ (v0 = e2) | (op(e2, e3) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 196.20/32.21 | = e1) & op(e0, e3) = v2 & $i(v2))))))
% 196.20/32.21 |
% 196.20/32.21 | ALPHA: (ax27) implies:
% 196.20/32.22 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 196.20/32.22 | ( ~ (v0 = e0) | (op(e0, e3) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 196.20/32.22 | = e1) & op(e2, e3) = v2 & $i(v2))))))
% 196.20/32.22 |
% 196.20/32.22 | ALPHA: (ax28) implies:
% 196.20/32.22 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 196.20/32.22 | ( ~ (v0 = e1) | (op(e1, e3) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 196.20/32.22 | = e2) & op(e0, e3) = v2 & $i(v2))))))
% 196.20/32.22 |
% 196.20/32.22 | ALPHA: (ax29) implies:
% 196.20/32.22 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 196.20/32.22 | ( ~ (v0 = e0) | (op(e0, e3) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 196.20/32.22 | = e2) & op(e1, e3) = v2 & $i(v2))))))
% 196.20/32.22 |
% 196.20/32.22 | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 196.20/32.22 | (35) op(e1, e1) = all_4_2 & $i(all_4_2) & ( ~ (all_4_2 = e0) | (op(e0, e1)
% 196.20/32.22 | = all_4_1 & $i(all_4_1) & ( ~ (all_4_1 = e3) | ( ~ (all_4_0 = e2)
% 196.20/32.22 | & op(e3, e1) = all_4_0 & $i(all_4_0)))))
% 196.20/32.22 |
% 196.20/32.22 | ALPHA: (35) implies:
% 196.20/32.22 | (36) op(e1, e1) = all_4_2
% 196.20/32.22 | (37) ~ (all_4_2 = e0) | (op(e0, e1) = all_4_1 & $i(all_4_1) & ( ~ (all_4_1
% 196.20/32.22 | = e3) | ( ~ (all_4_0 = e2) & op(e3, e1) = all_4_0 &
% 196.20/32.22 | $i(all_4_0))))
% 196.20/32.22 |
% 196.20/32.22 | DELTA: instantiating (27) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 196.20/32.22 | (38) op(e2, e2) = all_6_2 & $i(all_6_2) & ( ~ (all_6_2 = e1) | (op(e1, e2)
% 196.20/32.22 | = all_6_1 & $i(all_6_1) & ( ~ (all_6_1 = e0) | ( ~ (all_6_0 = e3)
% 196.20/32.22 | & op(e0, e2) = all_6_0 & $i(all_6_0)))))
% 196.20/32.22 |
% 196.20/32.22 | ALPHA: (38) implies:
% 196.20/32.22 | (39) op(e2, e2) = all_6_2
% 196.20/32.22 | (40) ~ (all_6_2 = e1) | (op(e1, e2) = all_6_1 & $i(all_6_1) & ( ~ (all_6_1
% 196.20/32.22 | = e0) | ( ~ (all_6_0 = e3) & op(e0, e2) = all_6_0 &
% 196.20/32.22 | $i(all_6_0))))
% 196.20/32.22 |
% 196.20/32.22 | DELTA: instantiating (21) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 196.20/32.22 | (41) op(e1, e1) = all_8_2 & $i(all_8_2) & ( ~ (all_8_2 = e2) | (op(e2, e1)
% 196.20/32.22 | = all_8_1 & $i(all_8_1) & ( ~ (all_8_1 = e0) | ( ~ (all_8_0 = e3)
% 196.20/32.22 | & op(e0, e1) = all_8_0 & $i(all_8_0)))))
% 196.20/32.22 |
% 196.20/32.22 | ALPHA: (41) implies:
% 196.20/32.22 | (42) op(e1, e1) = all_8_2
% 196.20/32.22 | (43) ~ (all_8_2 = e2) | (op(e2, e1) = all_8_1 & $i(all_8_1) & ( ~ (all_8_1
% 196.20/32.22 | = e0) | ( ~ (all_8_0 = e3) & op(e0, e1) = all_8_0 &
% 196.20/32.22 | $i(all_8_0))))
% 196.20/32.22 |
% 196.20/32.22 | DELTA: instantiating (11) with fresh symbols all_10_0, all_10_1, all_10_2
% 196.20/32.22 | gives:
% 196.20/32.22 | (44) op(e0, e0) = all_10_2 & $i(all_10_2) & ( ~ (all_10_2 = e3) | (op(e3,
% 196.20/32.22 | e0) = all_10_1 & $i(all_10_1) & ( ~ (all_10_1 = e2) | ( ~
% 196.20/32.22 | (all_10_0 = e1) & op(e2, e0) = all_10_0 & $i(all_10_0)))))
% 196.20/32.22 |
% 196.20/32.22 | ALPHA: (44) implies:
% 196.20/32.22 | (45) op(e0, e0) = all_10_2
% 196.20/32.22 | (46) ~ (all_10_2 = e3) | (op(e3, e0) = all_10_1 & $i(all_10_1) & ( ~
% 196.20/32.22 | (all_10_1 = e2) | ( ~ (all_10_0 = e1) & op(e2, e0) = all_10_0 &
% 196.20/32.22 | $i(all_10_0))))
% 196.20/32.22 |
% 196.20/32.22 | DELTA: instantiating (22) with fresh symbols all_12_0, all_12_1, all_12_2
% 196.20/32.22 | gives:
% 196.20/32.22 | (47) op(e1, e1) = all_12_2 & $i(all_12_2) & ( ~ (all_12_2 = e0) | (op(e0,
% 196.20/32.22 | e1) = all_12_1 & $i(all_12_1) & ( ~ (all_12_1 = e2) | ( ~
% 196.20/32.22 | (all_12_0 = e3) & op(e2, e1) = all_12_0 & $i(all_12_0)))))
% 196.20/32.22 |
% 196.20/32.22 | ALPHA: (47) implies:
% 196.20/32.22 | (48) op(e1, e1) = all_12_2
% 196.20/32.22 | (49) ~ (all_12_2 = e0) | (op(e0, e1) = all_12_1 & $i(all_12_1) & ( ~
% 196.20/32.22 | (all_12_1 = e2) | ( ~ (all_12_0 = e3) & op(e2, e1) = all_12_0 &
% 196.20/32.22 | $i(all_12_0))))
% 196.20/32.22 |
% 196.20/32.22 | DELTA: instantiating (29) with fresh symbols all_14_0, all_14_1, all_14_2
% 196.20/32.22 | gives:
% 196.20/32.22 | (50) op(e3, e3) = all_14_2 & $i(all_14_2) & ( ~ (all_14_2 = e2) | (op(e2,
% 196.20/32.22 | e3) = all_14_1 & $i(all_14_1) & ( ~ (all_14_1 = e1) | ( ~
% 196.20/32.22 | (all_14_0 = e0) & op(e1, e3) = all_14_0 & $i(all_14_0)))))
% 196.20/32.22 |
% 196.20/32.22 | ALPHA: (50) implies:
% 196.20/32.22 | (51) op(e3, e3) = all_14_2
% 196.20/32.22 | (52) ~ (all_14_2 = e2) | (op(e2, e3) = all_14_1 & $i(all_14_1) & ( ~
% 196.20/32.22 | (all_14_1 = e1) | ( ~ (all_14_0 = e0) & op(e1, e3) = all_14_0 &
% 196.20/32.22 | $i(all_14_0))))
% 196.20/32.22 |
% 196.20/32.22 | DELTA: instantiating (23) with fresh symbols all_16_0, all_16_1, all_16_2
% 196.20/32.22 | gives:
% 196.20/32.22 | (53) op(e2, e2) = all_16_2 & $i(all_16_2) & ( ~ (all_16_2 = e3) | (op(e3,
% 196.20/32.22 | e2) = all_16_1 & $i(all_16_1) & ( ~ (all_16_1 = e1) | ( ~
% 196.20/32.22 | (all_16_0 = e0) & op(e1, e2) = all_16_0 & $i(all_16_0)))))
% 196.20/32.22 |
% 196.20/32.22 | ALPHA: (53) implies:
% 196.20/32.22 | (54) op(e2, e2) = all_16_2
% 196.20/32.22 | (55) ~ (all_16_2 = e3) | (op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 196.20/32.22 | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1, e2) = all_16_0 &
% 196.20/32.22 | $i(all_16_0))))
% 196.20/32.22 |
% 196.20/32.22 | DELTA: instantiating (24) with fresh symbols all_18_0, all_18_1, all_18_2
% 196.20/32.22 | gives:
% 196.20/32.22 | (56) op(e2, e2) = all_18_2 & $i(all_18_2) & ( ~ (all_18_2 = e1) | (op(e1,
% 196.20/32.22 | e2) = all_18_1 & $i(all_18_1) & ( ~ (all_18_1 = e3) | ( ~
% 196.20/32.22 | (all_18_0 = e0) & op(e3, e2) = all_18_0 & $i(all_18_0)))))
% 196.20/32.23 |
% 196.20/32.23 | ALPHA: (56) implies:
% 196.20/32.23 | (57) op(e2, e2) = all_18_2
% 196.20/32.23 | (58) ~ (all_18_2 = e1) | (op(e1, e2) = all_18_1 & $i(all_18_1) & ( ~
% 196.20/32.23 | (all_18_1 = e3) | ( ~ (all_18_0 = e0) & op(e3, e2) = all_18_0 &
% 196.20/32.23 | $i(all_18_0))))
% 196.20/32.23 |
% 196.20/32.23 | DELTA: instantiating (26) with fresh symbols all_20_0, all_20_1, all_20_2
% 196.20/32.23 | gives:
% 196.20/32.23 | (59) op(e2, e2) = all_20_2 & $i(all_20_2) & ( ~ (all_20_2 = e0) | (op(e0,
% 196.20/32.23 | e2) = all_20_1 & $i(all_20_1) & ( ~ (all_20_1 = e3) | ( ~
% 196.20/32.23 | (all_20_0 = e1) & op(e3, e2) = all_20_0 & $i(all_20_0)))))
% 196.20/32.23 |
% 196.20/32.23 | ALPHA: (59) implies:
% 196.20/32.23 | (60) op(e2, e2) = all_20_2
% 196.20/32.23 | (61) ~ (all_20_2 = e0) | (op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 196.20/32.23 | (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3, e2) = all_20_0 &
% 196.20/32.23 | $i(all_20_0))))
% 196.20/32.23 |
% 196.20/32.23 | DELTA: instantiating (31) with fresh symbols all_22_0, all_22_1, all_22_2
% 196.20/32.23 | gives:
% 196.20/32.23 | (62) op(e3, e3) = all_22_2 & $i(all_22_2) & ( ~ (all_22_2 = e2) | (op(e2,
% 196.20/32.23 | e3) = all_22_1 & $i(all_22_1) & ( ~ (all_22_1 = e0) | ( ~
% 196.20/32.23 | (all_22_0 = e1) & op(e0, e3) = all_22_0 & $i(all_22_0)))))
% 196.20/32.23 |
% 196.20/32.23 | ALPHA: (62) implies:
% 196.20/32.23 | (63) op(e3, e3) = all_22_2
% 196.20/32.23 | (64) ~ (all_22_2 = e2) | (op(e2, e3) = all_22_1 & $i(all_22_1) & ( ~
% 196.20/32.23 | (all_22_1 = e0) | ( ~ (all_22_0 = e1) & op(e0, e3) = all_22_0 &
% 196.20/32.23 | $i(all_22_0))))
% 196.20/32.23 |
% 196.20/32.23 | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2
% 196.20/32.23 | gives:
% 196.20/32.23 | (65) op(e0, e0) = all_24_2 & $i(all_24_2) & ( ~ (all_24_2 = e3) | (op(e3,
% 196.20/32.23 | e0) = all_24_1 & $i(all_24_1) & ( ~ (all_24_1 = e1) | ( ~
% 196.20/32.23 | (all_24_0 = e2) & op(e1, e0) = all_24_0 & $i(all_24_0)))))
% 196.20/32.23 |
% 196.20/32.23 | ALPHA: (65) implies:
% 196.20/32.23 | (66) op(e0, e0) = all_24_2
% 196.20/32.23 | (67) ~ (all_24_2 = e3) | (op(e3, e0) = all_24_1 & $i(all_24_1) & ( ~
% 196.20/32.23 | (all_24_1 = e1) | ( ~ (all_24_0 = e2) & op(e1, e0) = all_24_0 &
% 196.20/32.23 | $i(all_24_0))))
% 196.20/32.23 |
% 196.20/32.23 | DELTA: instantiating (28) with fresh symbols all_26_0, all_26_1, all_26_2
% 196.20/32.23 | gives:
% 196.20/32.23 | (68) op(e2, e2) = all_26_2 & $i(all_26_2) & ( ~ (all_26_2 = e0) | (op(e0,
% 196.20/32.23 | e2) = all_26_1 & $i(all_26_1) & ( ~ (all_26_1 = e1) | ( ~
% 196.20/32.23 | (all_26_0 = e3) & op(e1, e2) = all_26_0 & $i(all_26_0)))))
% 196.20/32.23 |
% 196.20/32.23 | ALPHA: (68) implies:
% 196.20/32.23 | (69) op(e2, e2) = all_26_2
% 196.20/32.23 | (70) ~ (all_26_2 = e0) | (op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~
% 196.20/32.23 | (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1, e2) = all_26_0 &
% 196.20/32.23 | $i(all_26_0))))
% 196.20/32.23 |
% 196.20/32.23 | DELTA: instantiating (30) with fresh symbols all_28_0, all_28_1, all_28_2
% 196.20/32.23 | gives:
% 196.20/32.23 | (71) op(e3, e3) = all_28_2 & $i(all_28_2) & ( ~ (all_28_2 = e1) | (op(e1,
% 196.20/32.23 | e3) = all_28_1 & $i(all_28_1) & ( ~ (all_28_1 = e2) | ( ~
% 196.20/32.23 | (all_28_0 = e0) & op(e2, e3) = all_28_0 & $i(all_28_0)))))
% 196.20/32.23 |
% 196.20/32.23 | ALPHA: (71) implies:
% 196.20/32.23 | (72) op(e3, e3) = all_28_2
% 196.20/32.23 | (73) ~ (all_28_2 = e1) | (op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 196.20/32.23 | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2, e3) = all_28_0 &
% 196.20/32.23 | $i(all_28_0))))
% 196.20/32.23 |
% 196.20/32.23 | DELTA: instantiating (12) with fresh symbols all_30_0, all_30_1, all_30_2
% 196.20/32.23 | gives:
% 196.20/32.23 | (74) op(e0, e0) = all_30_2 & $i(all_30_2) & ( ~ (all_30_2 = e2) | (op(e2,
% 196.20/32.23 | e0) = all_30_1 & $i(all_30_1) & ( ~ (all_30_1 = e3) | ( ~
% 196.20/32.23 | (all_30_0 = e1) & op(e3, e0) = all_30_0 & $i(all_30_0)))))
% 196.20/32.23 |
% 196.20/32.23 | ALPHA: (74) implies:
% 196.20/32.23 | (75) op(e0, e0) = all_30_2
% 196.20/32.23 | (76) ~ (all_30_2 = e2) | (op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 196.20/32.23 | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3, e0) = all_30_0 &
% 196.20/32.23 | $i(all_30_0))))
% 196.20/32.23 |
% 196.20/32.23 | DELTA: instantiating (19) with fresh symbols all_32_0, all_32_1, all_32_2
% 196.20/32.23 | gives:
% 196.20/32.23 | (77) op(e1, e1) = all_32_2 & $i(all_32_2) & ( ~ (all_32_2 = e3) | (op(e3,
% 196.20/32.23 | e1) = all_32_1 & $i(all_32_1) & ( ~ (all_32_1 = e0) | ( ~
% 196.20/32.23 | (all_32_0 = e2) & op(e0, e1) = all_32_0 & $i(all_32_0)))))
% 196.20/32.23 |
% 196.20/32.23 | ALPHA: (77) implies:
% 196.20/32.23 | (78) op(e1, e1) = all_32_2
% 196.20/32.23 | (79) ~ (all_32_2 = e3) | (op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~
% 196.20/32.23 | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0, e1) = all_32_0 &
% 196.20/32.23 | $i(all_32_0))))
% 196.20/32.23 |
% 196.20/32.23 | DELTA: instantiating (32) with fresh symbols all_34_0, all_34_1, all_34_2
% 196.20/32.23 | gives:
% 196.20/32.23 | (80) op(e3, e3) = all_34_2 & $i(all_34_2) & ( ~ (all_34_2 = e0) | (op(e0,
% 196.20/32.23 | e3) = all_34_1 & $i(all_34_1) & ( ~ (all_34_1 = e2) | ( ~
% 196.20/32.23 | (all_34_0 = e1) & op(e2, e3) = all_34_0 & $i(all_34_0)))))
% 196.20/32.23 |
% 196.20/32.23 | ALPHA: (80) implies:
% 196.20/32.23 | (81) op(e3, e3) = all_34_2
% 196.20/32.23 | (82) ~ (all_34_2 = e0) | (op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 196.20/32.23 | (all_34_1 = e2) | ( ~ (all_34_0 = e1) & op(e2, e3) = all_34_0 &
% 196.20/32.23 | $i(all_34_0))))
% 196.20/32.23 |
% 196.20/32.23 | DELTA: instantiating (33) with fresh symbols all_36_0, all_36_1, all_36_2
% 196.20/32.23 | gives:
% 196.20/32.23 | (83) op(e3, e3) = all_36_2 & $i(all_36_2) & ( ~ (all_36_2 = e1) | (op(e1,
% 196.20/32.23 | e3) = all_36_1 & $i(all_36_1) & ( ~ (all_36_1 = e0) | ( ~
% 196.20/32.23 | (all_36_0 = e2) & op(e0, e3) = all_36_0 & $i(all_36_0)))))
% 196.20/32.23 |
% 196.20/32.23 | ALPHA: (83) implies:
% 196.20/32.23 | (84) op(e3, e3) = all_36_2
% 196.20/32.23 | (85) ~ (all_36_2 = e1) | (op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 196.20/32.23 | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0, e3) = all_36_0 &
% 196.20/32.23 | $i(all_36_0))))
% 196.20/32.23 |
% 196.20/32.23 | DELTA: instantiating (25) with fresh symbols all_38_0, all_38_1, all_38_2
% 196.20/32.23 | gives:
% 196.20/32.23 | (86) op(e2, e2) = all_38_2 & $i(all_38_2) & ( ~ (all_38_2 = e3) | (op(e3,
% 196.20/32.23 | e2) = all_38_1 & $i(all_38_1) & ( ~ (all_38_1 = e0) | ( ~
% 196.20/32.23 | (all_38_0 = e1) & op(e0, e2) = all_38_0 & $i(all_38_0)))))
% 196.20/32.23 |
% 196.20/32.23 | ALPHA: (86) implies:
% 196.20/32.23 | (87) op(e2, e2) = all_38_2
% 196.20/32.23 | (88) ~ (all_38_2 = e3) | (op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 196.20/32.23 | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0, e2) = all_38_0 &
% 196.20/32.23 | $i(all_38_0))))
% 196.20/32.23 |
% 196.20/32.23 | DELTA: instantiating (14) with fresh symbols all_40_0, all_40_1, all_40_2
% 196.20/32.23 | gives:
% 196.20/32.23 | (89) op(e0, e0) = all_40_2 & $i(all_40_2) & ( ~ (all_40_2 = e1) | (op(e1,
% 196.20/32.23 | e0) = all_40_1 & $i(all_40_1) & ( ~ (all_40_1 = e3) | ( ~
% 196.20/32.23 | (all_40_0 = e2) & op(e3, e0) = all_40_0 & $i(all_40_0)))))
% 196.20/32.23 |
% 196.20/32.23 | ALPHA: (89) implies:
% 196.20/32.24 | (90) op(e0, e0) = all_40_2
% 196.20/32.24 | (91) ~ (all_40_2 = e1) | (op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 196.20/32.24 | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3, e0) = all_40_0 &
% 196.20/32.24 | $i(all_40_0))))
% 196.20/32.24 |
% 196.20/32.24 | DELTA: instantiating (15) with fresh symbols all_42_0, all_42_1, all_42_2
% 196.20/32.24 | gives:
% 196.20/32.24 | (92) op(e0, e0) = all_42_2 & $i(all_42_2) & ( ~ (all_42_2 = e2) | (op(e2,
% 196.20/32.24 | e0) = all_42_1 & $i(all_42_1) & ( ~ (all_42_1 = e1) | ( ~
% 196.20/32.24 | (all_42_0 = e3) & op(e1, e0) = all_42_0 & $i(all_42_0)))))
% 196.20/32.24 |
% 196.20/32.24 | ALPHA: (92) implies:
% 196.20/32.24 | (93) op(e0, e0) = all_42_2
% 196.20/32.24 | (94) ~ (all_42_2 = e2) | (op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 196.20/32.24 | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1, e0) = all_42_0 &
% 196.20/32.24 | $i(all_42_0))))
% 196.20/32.24 |
% 196.20/32.24 | DELTA: instantiating (34) with fresh symbols all_44_0, all_44_1, all_44_2
% 196.20/32.24 | gives:
% 196.20/32.24 | (95) op(e3, e3) = all_44_2 & $i(all_44_2) & ( ~ (all_44_2 = e0) | (op(e0,
% 196.20/32.24 | e3) = all_44_1 & $i(all_44_1) & ( ~ (all_44_1 = e1) | ( ~
% 196.20/32.24 | (all_44_0 = e2) & op(e1, e3) = all_44_0 & $i(all_44_0)))))
% 196.20/32.24 |
% 196.20/32.24 | ALPHA: (95) implies:
% 196.20/32.24 | (96) op(e3, e3) = all_44_2
% 196.20/32.24 | (97) ~ (all_44_2 = e0) | (op(e0, e3) = all_44_1 & $i(all_44_1) & ( ~
% 196.20/32.24 | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1, e3) = all_44_0 &
% 196.20/32.24 | $i(all_44_0))))
% 196.20/32.24 |
% 196.20/32.24 | DELTA: instantiating (16) with fresh symbols all_46_0, all_46_1, all_46_2
% 196.20/32.24 | gives:
% 196.20/32.24 | (98) op(e0, e0) = all_46_2 & $i(all_46_2) & ( ~ (all_46_2 = e1) | (op(e1,
% 196.20/32.24 | e0) = all_46_1 & $i(all_46_1) & ( ~ (all_46_1 = e2) | ( ~
% 196.20/32.24 | (all_46_0 = e3) & op(e2, e0) = all_46_0 & $i(all_46_0)))))
% 196.20/32.24 |
% 196.20/32.24 | ALPHA: (98) implies:
% 196.20/32.24 | (99) op(e0, e0) = all_46_2
% 196.20/32.24 | (100) ~ (all_46_2 = e1) | (op(e1, e0) = all_46_1 & $i(all_46_1) & ( ~
% 196.20/32.24 | (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2, e0) = all_46_0 &
% 196.20/32.24 | $i(all_46_0))))
% 196.20/32.24 |
% 196.20/32.24 | DELTA: instantiating (18) with fresh symbols all_48_0, all_48_1, all_48_2
% 196.20/32.24 | gives:
% 196.20/32.24 | (101) op(e1, e1) = all_48_2 & $i(all_48_2) & ( ~ (all_48_2 = e2) | (op(e2,
% 196.20/32.24 | e1) = all_48_1 & $i(all_48_1) & ( ~ (all_48_1 = e3) | ( ~
% 196.20/32.24 | (all_48_0 = e0) & op(e3, e1) = all_48_0 & $i(all_48_0)))))
% 196.20/32.24 |
% 196.20/32.24 | ALPHA: (101) implies:
% 196.20/32.24 | (102) op(e1, e1) = all_48_2
% 196.20/32.24 | (103) ~ (all_48_2 = e2) | (op(e2, e1) = all_48_1 & $i(all_48_1) & ( ~
% 196.20/32.24 | (all_48_1 = e3) | ( ~ (all_48_0 = e0) & op(e3, e1) = all_48_0 &
% 196.20/32.24 | $i(all_48_0))))
% 196.20/32.24 |
% 196.20/32.24 | DELTA: instantiating (17) with fresh symbols all_50_0, all_50_1, all_50_2
% 196.20/32.24 | gives:
% 196.20/32.24 | (104) op(e1, e1) = all_50_2 & $i(all_50_2) & ( ~ (all_50_2 = e3) | (op(e3,
% 196.20/32.24 | e1) = all_50_1 & $i(all_50_1) & ( ~ (all_50_1 = e2) | ( ~
% 196.20/32.24 | (all_50_0 = e0) & op(e2, e1) = all_50_0 & $i(all_50_0)))))
% 196.20/32.24 |
% 196.20/32.24 | ALPHA: (104) implies:
% 196.20/32.24 | (105) op(e1, e1) = all_50_2
% 196.20/32.24 | (106) ~ (all_50_2 = e3) | (op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 196.20/32.24 | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2, e1) = all_50_0 &
% 196.20/32.24 | $i(all_50_0))))
% 196.20/32.24 |
% 196.20/32.24 | DELTA: instantiating (3) with fresh symbols all_52_0, all_52_1, all_52_2,
% 196.20/32.24 | all_52_3, all_52_4, all_52_5, all_52_6, all_52_7, all_52_8, all_52_9,
% 196.20/32.24 | all_52_10, all_52_11, all_52_12, all_52_13, all_52_14, all_52_15 gives:
% 196.20/32.24 | (107) ~ (all_52_0 = all_52_1) & ~ (all_52_0 = all_52_2) & ~ (all_52_0 =
% 196.20/32.24 | all_52_3) & ~ (all_52_0 = all_52_4) & ~ (all_52_0 = all_52_8) &
% 196.20/32.24 | ~ (all_52_0 = all_52_12) & ~ (all_52_1 = all_52_2) & ~ (all_52_1 =
% 196.20/32.24 | all_52_3) & ~ (all_52_1 = all_52_5) & ~ (all_52_1 = all_52_9) &
% 196.20/32.24 | ~ (all_52_1 = all_52_13) & ~ (all_52_2 = all_52_3) & ~ (all_52_2 =
% 196.20/32.24 | all_52_6) & ~ (all_52_2 = all_52_10) & ~ (all_52_2 = all_52_14) &
% 196.20/32.24 | ~ (all_52_3 = all_52_7) & ~ (all_52_3 = all_52_11) & ~ (all_52_3 =
% 196.20/32.24 | all_52_15) & ~ (all_52_4 = all_52_5) & ~ (all_52_4 = all_52_6) &
% 196.20/32.24 | ~ (all_52_4 = all_52_7) & ~ (all_52_4 = all_52_8) & ~ (all_52_4 =
% 196.20/32.24 | all_52_12) & ~ (all_52_5 = all_52_6) & ~ (all_52_5 = all_52_7) &
% 196.20/32.24 | ~ (all_52_5 = all_52_9) & ~ (all_52_5 = all_52_13) & ~ (all_52_6 =
% 196.20/32.24 | all_52_7) & ~ (all_52_6 = all_52_10) & ~ (all_52_6 = all_52_14) &
% 196.20/32.24 | ~ (all_52_7 = all_52_11) & ~ (all_52_7 = all_52_15) & ~ (all_52_8
% 196.20/32.24 | = all_52_9) & ~ (all_52_8 = all_52_10) & ~ (all_52_8 = all_52_11)
% 196.20/32.24 | & ~ (all_52_8 = all_52_12) & ~ (all_52_9 = all_52_10) & ~
% 196.20/32.24 | (all_52_9 = all_52_11) & ~ (all_52_9 = all_52_13) & ~ (all_52_10 =
% 196.20/32.24 | all_52_11) & ~ (all_52_10 = all_52_14) & ~ (all_52_11 =
% 196.20/32.24 | all_52_15) & ~ (all_52_12 = all_52_13) & ~ (all_52_12 =
% 196.20/32.24 | all_52_14) & ~ (all_52_12 = all_52_15) & ~ (all_52_13 =
% 196.20/32.24 | all_52_14) & ~ (all_52_13 = all_52_15) & ~ (all_52_14 =
% 196.20/32.24 | all_52_15) & op(e3, e3) = all_52_0 & op(e3, e2) = all_52_4 & op(e3,
% 196.20/32.24 | e1) = all_52_8 & op(e3, e0) = all_52_12 & op(e2, e3) = all_52_1 &
% 196.20/32.24 | op(e2, e2) = all_52_5 & op(e2, e1) = all_52_9 & op(e2, e0) =
% 196.20/32.24 | all_52_13 & op(e1, e3) = all_52_2 & op(e1, e2) = all_52_6 & op(e1,
% 196.20/32.24 | e1) = all_52_10 & op(e1, e0) = all_52_14 & op(e0, e3) = all_52_3 &
% 196.20/32.24 | op(e0, e2) = all_52_7 & op(e0, e1) = all_52_11 & op(e0, e0) =
% 196.20/32.24 | all_52_15 & $i(all_52_0) & $i(all_52_1) & $i(all_52_2) & $i(all_52_3)
% 196.20/32.24 | & $i(all_52_4) & $i(all_52_5) & $i(all_52_6) & $i(all_52_7) &
% 196.20/32.24 | $i(all_52_8) & $i(all_52_9) & $i(all_52_10) & $i(all_52_11) &
% 196.20/32.24 | $i(all_52_12) & $i(all_52_13) & $i(all_52_14) & $i(all_52_15)
% 196.20/32.24 |
% 196.20/32.24 | ALPHA: (107) implies:
% 196.20/32.24 | (108) ~ (all_52_14 = all_52_15)
% 196.20/32.24 | (109) ~ (all_52_13 = all_52_15)
% 196.20/32.24 | (110) ~ (all_52_13 = all_52_14)
% 196.20/32.24 | (111) ~ (all_52_12 = all_52_15)
% 196.20/32.24 | (112) ~ (all_52_12 = all_52_14)
% 196.20/32.24 | (113) ~ (all_52_12 = all_52_13)
% 196.20/32.24 | (114) ~ (all_52_11 = all_52_15)
% 196.20/32.24 | (115) ~ (all_52_10 = all_52_14)
% 196.20/32.24 | (116) ~ (all_52_10 = all_52_11)
% 196.20/32.24 | (117) ~ (all_52_9 = all_52_13)
% 196.20/32.24 | (118) ~ (all_52_9 = all_52_11)
% 196.20/32.24 | (119) ~ (all_52_9 = all_52_10)
% 196.20/32.24 | (120) ~ (all_52_8 = all_52_12)
% 196.20/32.24 | (121) ~ (all_52_8 = all_52_11)
% 196.20/32.24 | (122) ~ (all_52_8 = all_52_10)
% 196.20/32.24 | (123) ~ (all_52_8 = all_52_9)
% 196.20/32.24 | (124) ~ (all_52_7 = all_52_15)
% 196.20/32.24 | (125) ~ (all_52_7 = all_52_11)
% 196.20/32.24 | (126) ~ (all_52_6 = all_52_14)
% 196.20/32.24 | (127) ~ (all_52_6 = all_52_10)
% 196.20/32.24 | (128) ~ (all_52_6 = all_52_7)
% 196.20/32.24 | (129) ~ (all_52_5 = all_52_13)
% 196.20/32.24 | (130) ~ (all_52_5 = all_52_9)
% 196.20/32.24 | (131) ~ (all_52_5 = all_52_7)
% 196.20/32.24 | (132) ~ (all_52_5 = all_52_6)
% 196.20/32.24 | (133) ~ (all_52_4 = all_52_12)
% 196.20/32.24 | (134) ~ (all_52_4 = all_52_8)
% 196.20/32.24 | (135) ~ (all_52_4 = all_52_7)
% 196.20/32.24 | (136) ~ (all_52_4 = all_52_6)
% 196.20/32.24 | (137) ~ (all_52_4 = all_52_5)
% 196.20/32.24 | (138) ~ (all_52_3 = all_52_15)
% 196.20/32.24 | (139) ~ (all_52_3 = all_52_11)
% 196.20/32.24 | (140) ~ (all_52_3 = all_52_7)
% 196.20/32.24 | (141) ~ (all_52_2 = all_52_14)
% 196.20/32.24 | (142) ~ (all_52_2 = all_52_10)
% 196.20/32.24 | (143) ~ (all_52_2 = all_52_6)
% 196.20/32.24 | (144) ~ (all_52_2 = all_52_3)
% 196.20/32.25 | (145) ~ (all_52_1 = all_52_13)
% 196.20/32.25 | (146) ~ (all_52_1 = all_52_9)
% 196.20/32.25 | (147) ~ (all_52_1 = all_52_5)
% 196.20/32.25 | (148) ~ (all_52_1 = all_52_3)
% 196.20/32.25 | (149) ~ (all_52_1 = all_52_2)
% 196.20/32.25 | (150) ~ (all_52_0 = all_52_12)
% 196.20/32.25 | (151) ~ (all_52_0 = all_52_8)
% 196.20/32.25 | (152) ~ (all_52_0 = all_52_4)
% 196.20/32.25 | (153) ~ (all_52_0 = all_52_3)
% 196.20/32.25 | (154) ~ (all_52_0 = all_52_2)
% 196.20/32.25 | (155) ~ (all_52_0 = all_52_1)
% 196.20/32.25 | (156) op(e0, e0) = all_52_15
% 196.20/32.25 | (157) op(e0, e1) = all_52_11
% 196.20/32.25 | (158) op(e0, e2) = all_52_7
% 196.20/32.25 | (159) op(e0, e3) = all_52_3
% 196.20/32.25 | (160) op(e1, e0) = all_52_14
% 196.20/32.25 | (161) op(e1, e1) = all_52_10
% 196.20/32.25 | (162) op(e1, e2) = all_52_6
% 196.20/32.25 | (163) op(e1, e3) = all_52_2
% 196.20/32.25 | (164) op(e2, e0) = all_52_13
% 196.20/32.25 | (165) op(e2, e1) = all_52_9
% 196.20/32.25 | (166) op(e2, e2) = all_52_5
% 196.20/32.25 | (167) op(e2, e3) = all_52_1
% 196.20/32.25 | (168) op(e3, e0) = all_52_12
% 196.20/32.25 | (169) op(e3, e1) = all_52_8
% 196.20/32.25 | (170) op(e3, e2) = all_52_4
% 196.20/32.25 | (171) op(e3, e3) = all_52_0
% 196.20/32.25 |
% 196.20/32.25 | DELTA: instantiating (1) with fresh symbols all_54_0, all_54_1, all_54_2,
% 196.20/32.25 | all_54_3, all_54_4, all_54_5, all_54_6, all_54_7, all_54_8, all_54_9,
% 196.20/32.25 | all_54_10, all_54_11, all_54_12, all_54_13, all_54_14, all_54_15 gives:
% 196.59/32.25 | (172) op(e3, e3) = all_54_0 & op(e3, e2) = all_54_1 & op(e3, e1) = all_54_2
% 196.59/32.25 | & op(e3, e0) = all_54_3 & op(e2, e3) = all_54_4 & op(e2, e2) =
% 196.59/32.25 | all_54_5 & op(e2, e1) = all_54_6 & op(e2, e0) = all_54_7 & op(e1, e3)
% 196.59/32.25 | = all_54_8 & op(e1, e2) = all_54_9 & op(e1, e1) = all_54_10 & op(e1,
% 196.59/32.25 | e0) = all_54_11 & op(e0, e3) = all_54_12 & op(e0, e2) = all_54_13 &
% 196.59/32.25 | op(e0, e1) = all_54_14 & op(e0, e0) = all_54_15 & $i(all_54_0) &
% 196.59/32.25 | $i(all_54_1) & $i(all_54_2) & $i(all_54_3) & $i(all_54_4) &
% 196.59/32.25 | $i(all_54_5) & $i(all_54_6) & $i(all_54_7) & $i(all_54_8) &
% 196.59/32.25 | $i(all_54_9) & $i(all_54_10) & $i(all_54_11) & $i(all_54_12) &
% 196.59/32.25 | $i(all_54_13) & $i(all_54_14) & $i(all_54_15) & (all_54_0 = e3 |
% 196.59/32.25 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0) & (all_54_1 = e3 |
% 196.59/32.25 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0) & (all_54_2 = e3 |
% 196.59/32.25 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0) & (all_54_3 = e3 |
% 196.59/32.25 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0) & (all_54_4 = e3 |
% 196.59/32.25 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0) & (all_54_5 = e3 |
% 196.59/32.25 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0) & (all_54_6 = e3 |
% 196.59/32.25 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0) & (all_54_7 = e3 |
% 196.59/32.25 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0) & (all_54_8 = e3 |
% 196.59/32.25 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0) & (all_54_9 = e3 |
% 196.59/32.25 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0) & (all_54_10 = e3 |
% 196.59/32.25 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0) & (all_54_11 = e3
% 196.59/32.25 | | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0) & (all_54_12 =
% 196.59/32.25 | e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0) & (all_54_13
% 196.59/32.25 | = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0) &
% 196.59/32.25 | (all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0) &
% 196.59/32.25 | (all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0)
% 196.59/32.25 |
% 196.59/32.25 | ALPHA: (172) implies:
% 196.59/32.25 | (173) op(e0, e0) = all_54_15
% 196.59/32.25 | (174) op(e0, e1) = all_54_14
% 196.59/32.25 | (175) op(e0, e2) = all_54_13
% 196.59/32.25 | (176) op(e0, e3) = all_54_12
% 196.59/32.25 | (177) op(e1, e0) = all_54_11
% 196.59/32.25 | (178) op(e1, e1) = all_54_10
% 196.59/32.25 | (179) op(e1, e2) = all_54_9
% 196.59/32.25 | (180) op(e1, e3) = all_54_8
% 196.59/32.25 | (181) op(e2, e0) = all_54_7
% 196.59/32.25 | (182) op(e2, e1) = all_54_6
% 196.59/32.25 | (183) op(e2, e2) = all_54_5
% 196.59/32.25 | (184) op(e2, e3) = all_54_4
% 196.59/32.25 | (185) op(e3, e0) = all_54_3
% 196.59/32.25 | (186) op(e3, e1) = all_54_2
% 196.59/32.25 | (187) op(e3, e2) = all_54_1
% 196.59/32.25 | (188) op(e3, e3) = all_54_0
% 196.59/32.25 | (189) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 196.59/32.25 | (190) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 196.59/32.25 | (191) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.59/32.25 | (192) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.59/32.25 | (193) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.59/32.25 | (194) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 196.59/32.25 | (195) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 196.59/32.25 | (196) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.59/32.25 | (197) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.59/32.25 | (198) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 196.59/32.25 | (199) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.59/32.25 | (200) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 196.59/32.25 | (201) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.59/32.25 | (202) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.59/32.25 | (203) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.59/32.25 | (204) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 196.59/32.25 |
% 196.59/32.25 | DELTA: instantiating (10) with fresh symbols all_56_0, all_56_1, all_56_2,
% 196.59/32.25 | all_56_3, all_56_4, all_56_5, all_56_6, all_56_7, all_56_8, all_56_9,
% 196.59/32.25 | all_56_10, all_56_11, all_56_12, all_56_13, all_56_14, all_56_15 gives:
% 196.59/32.26 | (205) ~ (all_56_12 = e3) & ~ (all_56_13 = e2) & ~ (all_56_14 = e1) & ~
% 196.59/32.26 | (all_56_15 = e0) & op(e3, e3) = all_56_12 & op(e2, e2) = all_56_13 &
% 196.59/32.26 | op(e1, e1) = all_56_14 & op(e0, e0) = all_56_15 & $i(all_56_12) &
% 196.59/32.26 | $i(all_56_13) & $i(all_56_14) & $i(all_56_15) & ((op(e3, e2) =
% 196.59/32.26 | all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) = all_56_10 &
% 196.59/32.26 | $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 196.59/32.26 | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) | all_56_7 = e1)
% 196.59/32.26 | & ( ~ (all_56_15 = e2) | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 196.59/32.26 | (all_56_1 = e2) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 196.59/32.26 | (all_56_0 = e0 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 196.59/32.26 | $i(all_56_2))) & (all_56_7 = e3 | ( ~ (all_56_6 = e2) &
% 196.59/32.26 | op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 196.59/32.26 | (all_56_8 = e2) & op(e1, e0) = all_56_8 & $i(all_56_8))) &
% 196.59/32.26 | (all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 196.59/32.26 | $i(all_56_9))) & (all_56_10 = e1 | ( ~ (all_56_11 = e2) &
% 196.59/32.26 | op(e0, e1) = all_56_11 & $i(all_56_11))) & (all_56_13 = e3 |
% 196.59/32.26 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 & $i(all_56_3))) &
% 196.59/32.26 | (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 196.59/32.26 | $i(all_56_4))) & (all_56_13 = e0 | ( ~ (all_56_5 = e2) &
% 196.59/32.26 | op(e2, e0) = all_56_5 & $i(all_56_5)))) | (op(e3, e1) =
% 196.59/32.26 | all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 196.59/32.26 | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 196.59/32.26 | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2)
% 196.59/32.26 | & ( ~ (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~
% 196.59/32.26 | (all_56_0 = e1) & op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 196.59/32.26 | (all_56_1 = e0 | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 196.59/32.26 | $i(all_56_2))) & (all_56_4 = e3 | ( ~ (all_56_3 = e1) &
% 196.59/32.26 | op(e2, e3) = all_56_3 & $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 196.59/32.26 | (all_56_5 = e1) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 196.59/32.26 | (all_56_11 = e3 | ( ~ (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 196.59/32.26 | $i(all_56_9))) & (all_56_11 = e2 | ( ~ (all_56_10 = e1) &
% 196.59/32.26 | op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_14 = e3 |
% 196.59/32.26 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 & $i(all_56_6))) &
% 196.59/32.26 | (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 196.59/32.26 | $i(all_56_7))) & (all_56_14 = e0 | ( ~ (all_56_8 = e1) &
% 196.59/32.26 | op(e1, e0) = all_56_8 & $i(all_56_8)))) | (op(e3, e0) =
% 196.59/32.26 | all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 196.59/32.26 | $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 196.59/32.26 | | all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 196.59/32.26 | (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 196.59/32.26 | (all_56_0 = e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 196.59/32.26 | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 196.59/32.26 | $i(all_56_1))) & (all_56_5 = e3 | ( ~ (all_56_3 = e0) &
% 196.59/32.26 | op(e2, e3) = all_56_3 & $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 196.59/32.26 | (all_56_4 = e0) & op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 196.59/32.26 | (all_56_8 = e3 | ( ~ (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 196.59/32.26 | $i(all_56_6))) & (all_56_8 = e2 | ( ~ (all_56_7 = e0) &
% 196.59/32.26 | op(e1, e2) = all_56_7 & $i(all_56_7))) & (all_56_15 = e3 | (
% 196.59/32.26 | ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 & $i(all_56_9))) &
% 196.59/32.26 | (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 196.59/32.26 | $i(all_56_10))) & (all_56_15 = e1 | ( ~ (all_56_11 = e0) &
% 196.59/32.26 | op(e0, e1) = all_56_11 & $i(all_56_11)))) | (op(e2, e3) =
% 196.59/32.26 | all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 196.59/32.26 | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 196.59/32.26 | | all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 196.59/32.26 | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~
% 196.59/32.26 | (all_56_4 = e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 196.59/32.26 | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 196.59/32.26 | $i(all_56_5))) & (all_56_6 = e2 | ( ~ (all_56_7 = e3) &
% 196.59/32.26 | op(e1, e2) = all_56_7 & $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 196.59/32.26 | (all_56_8 = e3) & op(e1, e0) = all_56_8 & $i(all_56_8))) &
% 196.59/32.26 | (all_56_9 = e2 | ( ~ (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 196.59/32.26 | $i(all_56_10))) & (all_56_9 = e1 | ( ~ (all_56_11 = e3) &
% 196.59/32.26 | op(e0, e1) = all_56_11 & $i(all_56_11))) & (all_56_12 = e2 |
% 196.59/32.26 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 196.59/32.26 | (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 196.59/32.26 | $i(all_56_1))) & (all_56_12 = e0 | ( ~ (all_56_2 = e3) &
% 196.59/32.26 | op(e3, e0) = all_56_2 & $i(all_56_2)))))
% 196.59/32.26 |
% 196.59/32.26 | ALPHA: (205) implies:
% 196.59/32.26 | (206) ~ (all_56_15 = e0)
% 196.59/32.26 | (207) ~ (all_56_14 = e1)
% 196.59/32.26 | (208) ~ (all_56_13 = e2)
% 196.59/32.26 | (209) ~ (all_56_12 = e3)
% 196.59/32.26 | (210) op(e0, e0) = all_56_15
% 196.59/32.26 | (211) op(e1, e1) = all_56_14
% 196.59/32.26 | (212) op(e2, e2) = all_56_13
% 196.59/32.26 | (213) op(e3, e3) = all_56_12
% 196.59/32.26 | (214) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) =
% 196.59/32.26 | all_56_10 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~
% 196.59/32.26 | (all_56_12 = e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 196.59/32.26 | all_56_7 = e1) & ( ~ (all_56_15 = e2) | all_56_10 = e0) &
% 196.59/32.26 | (all_56_0 = e1 | ( ~ (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 196.59/32.26 | $i(all_56_1))) & (all_56_0 = e0 | ( ~ (all_56_2 = e2) & op(e3,
% 196.59/32.26 | e0) = all_56_2 & $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 196.59/32.26 | (all_56_6 = e2) & op(e1, e3) = all_56_6 & $i(all_56_6))) &
% 196.59/32.26 | (all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 196.59/32.26 | $i(all_56_8))) & (all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0,
% 196.59/32.26 | e3) = all_56_9 & $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 196.59/32.26 | (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 196.59/32.26 | (all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 196.59/32.26 | $i(all_56_3))) & (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2,
% 196.59/32.26 | e1) = all_56_4 & $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 196.59/32.26 | (all_56_5 = e2) & op(e2, e0) = all_56_5 & $i(all_56_5)))) |
% 196.59/32.26 | (op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) =
% 196.59/32.26 | all_56_11 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~
% 196.59/32.26 | (all_56_12 = e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 196.59/32.26 | all_56_4 = e2) & ( ~ (all_56_15 = e1) | all_56_11 = e0) &
% 196.59/32.26 | (all_56_1 = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) = all_56_0 &
% 196.59/32.26 | $i(all_56_0))) & (all_56_1 = e0 | ( ~ (all_56_2 = e1) & op(e3,
% 196.59/32.26 | e0) = all_56_2 & $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 196.59/32.26 | (all_56_3 = e1) & op(e2, e3) = all_56_3 & $i(all_56_3))) &
% 196.59/32.26 | (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 196.59/32.26 | $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 = e1) & op(e0,
% 196.59/32.26 | e3) = all_56_9 & $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 196.59/32.26 | (all_56_10 = e1) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 196.59/32.26 | (all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 196.59/32.26 | $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1,
% 196.59/32.26 | e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 196.59/32.26 | (all_56_8 = e1) & op(e1, e0) = all_56_8 & $i(all_56_8)))) |
% 196.59/32.26 | (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) =
% 196.59/32.26 | all_56_8 & $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~
% 196.59/32.26 | (all_56_12 = e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 196.59/32.26 | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8 = e1) &
% 196.59/32.26 | (all_56_2 = e2 | ( ~ (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 196.59/32.26 | $i(all_56_0))) & (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3,
% 196.59/32.26 | e1) = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 196.59/32.26 | (all_56_3 = e0) & op(e2, e3) = all_56_3 & $i(all_56_3))) &
% 196.59/32.26 | (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 196.59/32.26 | $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0) & op(e1,
% 196.59/32.26 | e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 196.59/32.26 | (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 196.59/32.26 | (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 196.59/32.26 | $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) &
% 196.59/32.27 | op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | (
% 196.59/32.27 | ~ (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11))))
% 196.59/32.27 | | (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) =
% 196.59/32.27 | all_56_9 & $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 196.59/32.27 | (all_56_13 = e3) | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 196.59/32.27 | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9 = e0) &
% 196.59/32.27 | (all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) = all_56_4 &
% 196.59/32.27 | $i(all_56_4))) & (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2,
% 196.59/32.27 | e0) = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 196.59/32.27 | (all_56_7 = e3) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 196.59/32.27 | (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 196.59/32.27 | $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 = e3) & op(e0,
% 196.59/32.27 | e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 196.59/32.27 | (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 196.59/32.27 | (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 196.59/32.27 | $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 196.59/32.27 | e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 196.59/32.27 | (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 196.59/32.27 |
% 196.59/32.27 | DELTA: instantiating (2) with fresh symbols all_58_0, all_58_1, all_58_2,
% 196.59/32.27 | all_58_3, all_58_4, all_58_5, all_58_6, all_58_7, all_58_8, all_58_9,
% 196.59/32.27 | all_58_10, all_58_11, all_58_12, all_58_13, all_58_14, all_58_15 gives:
% 196.59/32.27 | (215) ((all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) =
% 196.59/32.27 | e3) | (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3,
% 196.59/32.27 | e0) = e3)) & ((all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 =
% 196.59/32.27 | e3 & op(e2, e3) = e3) | (all_58_6 = e3 & op(e1, e3) = e3) |
% 196.59/32.27 | (all_58_12 = e3 & op(e0, e3) = e3)) & ((all_58_0 = e2 & op(e3, e3)
% 196.59/32.27 | = e2) | (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_4 = e2 &
% 196.59/32.27 | op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)) &
% 196.59/32.27 | ((all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) =
% 196.59/32.27 | e2) | (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 &
% 196.59/32.27 | op(e0, e3) = e2)) & ((all_58_0 = e1 & op(e3, e3) = e1) |
% 196.59/32.27 | (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_4 = e1 & op(e3, e1) =
% 196.59/32.27 | e1) | (all_58_9 = e1 & op(e3, e0) = e1)) & ((all_58_0 = e1 &
% 196.59/32.27 | op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_6
% 196.59/32.27 | = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)) &
% 196.59/32.27 | ((all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) =
% 196.59/32.27 | e0) | (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3,
% 196.59/32.27 | e0) = e0)) & ((all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 =
% 196.59/32.27 | e0 & op(e2, e3) = e0) | (all_58_6 = e0 & op(e1, e3) = e0) |
% 196.59/32.27 | (all_58_12 = e0 & op(e0, e3) = e0)) & ((all_58_1 = e3 & op(e3, e2)
% 196.59/32.27 | = e3) | (all_58_3 = e3 & op(e2, e2) = e3) | (all_58_7 = e3 &
% 196.59/32.27 | op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)) &
% 196.59/32.27 | ((all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) =
% 196.59/32.27 | e2) | (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 &
% 196.59/32.27 | op(e0, e2) = e2)) & ((all_58_1 = e1 & op(e3, e2) = e1) |
% 196.59/32.27 | (all_58_3 = e1 & op(e2, e2) = e1) | (all_58_7 = e1 & op(e1, e2) =
% 196.59/32.27 | e1) | (all_58_13 = e1 & op(e0, e2) = e1)) & ((all_58_1 = e0 &
% 196.59/32.27 | op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) | (all_58_7
% 196.59/32.27 | = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)) &
% 196.59/32.27 | ((all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) =
% 196.59/32.27 | e3) | (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 &
% 196.59/32.27 | op(e2, e0) = e3)) & ((all_58_2 = e2 & op(e2, e3) = e2) |
% 196.59/32.27 | (all_58_3 = e2 & op(e2, e2) = e2) | (all_58_5 = e2 & op(e2, e1) =
% 196.59/32.27 | e2) | (all_58_10 = e2 & op(e2, e0) = e2)) & ((all_58_2 = e1 &
% 196.59/32.27 | op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) | (all_58_5
% 196.59/32.27 | = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)) &
% 196.59/32.27 | ((all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) =
% 196.59/32.27 | e0) | (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 &
% 196.59/32.27 | op(e2, e0) = e0)) & ((all_58_4 = e3 & op(e3, e1) = e3) |
% 196.59/32.27 | (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_8 = e3 & op(e1, e1) =
% 196.59/32.27 | e3) | (all_58_14 = e3 & op(e0, e1) = e3)) & ((all_58_4 = e2 &
% 196.59/32.27 | op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_8
% 196.59/32.27 | = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)) &
% 196.59/32.27 | ((all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) =
% 196.59/32.27 | e1) | (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 &
% 196.59/32.27 | op(e0, e1) = e1)) & ((all_58_4 = e0 & op(e3, e1) = e0) |
% 196.59/32.27 | (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_8 = e0 & op(e1, e1) =
% 196.59/32.27 | e0) | (all_58_14 = e0 & op(e0, e1) = e0)) & ((all_58_6 = e3 &
% 196.59/32.27 | op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_8
% 196.59/32.27 | = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)) &
% 196.59/32.27 | ((all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2 & op(e1, e2) =
% 196.59/32.27 | e2) | (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 = e2 &
% 196.59/32.27 | op(e1, e0) = e2)) & ((all_58_6 = e1 & op(e1, e3) = e1) |
% 196.59/32.27 | (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_8 = e1 & op(e1, e1) =
% 196.59/32.27 | e1) | (all_58_11 = e1 & op(e1, e0) = e1)) & ((all_58_6 = e0 &
% 196.59/32.27 | op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_8
% 196.59/32.27 | = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)) &
% 196.59/32.27 | ((all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) =
% 196.59/32.27 | e3) | (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 &
% 196.59/32.27 | op(e0, e0) = e3)) & ((all_58_9 = e2 & op(e3, e0) = e2) |
% 196.59/32.27 | (all_58_10 = e2 & op(e2, e0) = e2) | (all_58_11 = e2 & op(e1, e0) =
% 196.59/32.27 | e2) | (all_58_15 = e2 & op(e0, e0) = e2)) & ((all_58_9 = e1 &
% 196.59/32.27 | op(e3, e0) = e1) | (all_58_10 = e1 & op(e2, e0) = e1) |
% 196.59/32.27 | (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 = e1 & op(e0, e0) =
% 196.59/32.27 | e1)) & ((all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 = e3 &
% 196.59/32.27 | op(e0, e2) = e3) | (all_58_14 = e3 & op(e0, e1) = e3) |
% 196.59/32.27 | (all_58_15 = e3 & op(e0, e0) = e3)) & ((all_58_12 = e2 & op(e0, e3)
% 196.59/32.27 | = e2) | (all_58_13 = e2 & op(e0, e2) = e2) | (all_58_14 = e2 &
% 196.59/32.27 | op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) = e2)) &
% 196.59/32.27 | ((all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 & op(e0, e2) =
% 196.59/32.27 | e1) | (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 &
% 196.59/32.27 | op(e0, e0) = e1)) & ((all_58_15 = e0 & op(e0, e0) = e0) |
% 196.59/32.27 | (((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 = e0 & op(e2, e0)
% 196.59/32.27 | = e0) | (all_58_11 = e0 & op(e1, e0) = e0)) & ((all_58_12 =
% 196.59/32.27 | e0 & op(e0, e3) = e0) | (all_58_13 = e0 & op(e0, e2) = e0) |
% 196.59/32.27 | (all_58_14 = e0 & op(e0, e1) = e0))))
% 196.59/32.27 |
% 196.59/32.27 | ALPHA: (215) implies:
% 196.59/32.27 | (216) (all_58_15 = e0 & op(e0, e0) = e0) | (((all_58_9 = e0 & op(e3, e0) =
% 196.59/32.27 | e0) | (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 196.59/32.27 | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0, e3) = e0) |
% 196.59/32.27 | (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1)
% 196.59/32.27 | = e0)))
% 196.59/32.27 | (217) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 & op(e0, e2) =
% 196.59/32.27 | e1) | (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 & op(e0,
% 196.59/32.27 | e0) = e1)
% 196.59/32.27 | (218) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) =
% 196.59/32.27 | e2) | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0,
% 196.59/32.27 | e0) = e2)
% 196.59/32.27 | (219) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 = e3 & op(e0, e2) =
% 196.59/32.27 | e3) | (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 = e3 & op(e0,
% 196.59/32.27 | e0) = e3)
% 196.59/32.27 | (220) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 = e1 & op(e2, e0) =
% 196.59/32.27 | e1) | (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 = e1 & op(e0,
% 196.59/32.27 | e0) = e1)
% 196.59/32.28 | (221) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 = e2 & op(e2, e0) =
% 196.59/32.28 | e2) | (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 = e2 & op(e0,
% 196.59/32.28 | e0) = e2)
% 196.59/32.28 | (222) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) =
% 196.59/32.28 | e3) | (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0,
% 196.59/32.28 | e0) = e3)
% 196.59/32.28 | (223) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0)
% 196.59/32.28 | | (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) =
% 196.59/32.28 | e0)
% 196.59/32.28 | (224) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1)
% 196.59/32.28 | | (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) =
% 196.59/32.28 | e1)
% 196.59/32.28 | (225) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2 & op(e1, e2) = e2)
% 196.59/32.28 | | (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 = e2 & op(e1, e0) =
% 196.59/32.28 | e2)
% 196.59/32.28 | (226) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3)
% 196.59/32.28 | | (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) =
% 196.59/32.28 | e3)
% 196.59/32.28 | (227) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0 & op(e2, e1) = e0)
% 196.59/32.28 | | (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 = e0 & op(e0, e1) =
% 196.59/32.28 | e0)
% 196.59/32.28 | (228) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1)
% 196.59/32.28 | | (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) =
% 196.59/32.28 | e1)
% 196.59/32.28 | (229) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2)
% 196.59/32.28 | | (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) =
% 196.59/32.28 | e2)
% 196.59/32.28 | (230) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2, e1) = e3)
% 196.59/32.28 | | (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) =
% 196.59/32.28 | e3)
% 196.59/32.28 | (231) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0)
% 196.59/32.28 | | (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) =
% 196.59/32.28 | e0)
% 196.59/32.28 | (232) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1)
% 196.59/32.28 | | (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) =
% 196.59/32.28 | e1)
% 196.59/32.28 | (233) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2)
% 196.59/32.28 | | (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) =
% 196.59/32.28 | e2)
% 196.59/32.28 | (234) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) = e3)
% 196.59/32.28 | | (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) =
% 196.59/32.28 | e3)
% 196.59/32.28 | (235) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0)
% 196.59/32.28 | | (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 196.59/32.28 | e0)
% 196.59/32.28 | (236) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1 & op(e2, e2) = e1)
% 196.59/32.28 | | (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 = e1 & op(e0, e2) =
% 196.59/32.28 | e1)
% 196.59/32.28 | (237) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2)
% 196.59/32.28 | | (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) =
% 196.59/32.28 | e2)
% 196.59/32.28 | (238) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3)
% 196.59/32.28 | | (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) =
% 196.59/32.28 | e3)
% 196.59/32.28 | (239) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0)
% 196.59/32.28 | | (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) =
% 196.59/32.28 | e0)
% 196.59/32.28 | (240) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0)
% 196.59/32.28 | | (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) =
% 196.59/32.28 | e0)
% 196.59/32.28 | (241) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1)
% 196.59/32.28 | | (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) =
% 196.59/32.28 | e1)
% 196.59/32.28 | (242) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1)
% 196.59/32.28 | | (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) =
% 196.59/32.28 | e1)
% 196.59/32.28 | (243) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2)
% 196.59/32.28 | | (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) =
% 196.59/32.28 | e2)
% 196.74/32.28 | (244) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2)
% 196.74/32.28 | | (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) =
% 196.74/32.28 | e2)
% 196.74/32.28 | (245) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3)
% 196.74/32.28 | | (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) =
% 196.74/32.28 | e3)
% 196.74/32.28 | (246) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3)
% 196.74/32.28 | | (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) =
% 196.74/32.28 | e3)
% 196.74/32.28 |
% 196.74/32.28 | GROUND_INST: instantiating (function-axioms) with all_30_2, all_40_2, e0, e0,
% 196.74/32.28 | simplifying with (75), (90) gives:
% 196.74/32.28 | (247) all_40_2 = all_30_2
% 196.74/32.28 |
% 196.74/32.28 | GROUND_INST: instantiating (function-axioms) with all_42_2, all_46_2, e0, e0,
% 196.74/32.28 | simplifying with (93), (99) gives:
% 196.74/32.28 | (248) all_46_2 = all_42_2
% 196.74/32.28 |
% 196.74/32.28 | GROUND_INST: instantiating (function-axioms) with all_30_2, all_46_2, e0, e0,
% 196.74/32.28 | simplifying with (75), (99) gives:
% 196.74/32.28 | (249) all_46_2 = all_30_2
% 196.74/32.28 |
% 196.74/32.28 | GROUND_INST: instantiating (function-axioms) with all_24_2, all_46_2, e0, e0,
% 196.74/32.28 | simplifying with (66), (99) gives:
% 196.74/32.28 | (250) all_46_2 = all_24_2
% 196.74/32.28 |
% 196.74/32.28 | GROUND_INST: instantiating (function-axioms) with all_40_2, all_52_15, e0, e0,
% 196.74/32.28 | simplifying with (90), (156) gives:
% 196.74/32.28 | (251) all_52_15 = all_40_2
% 196.74/32.28 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_52_15, all_54_15, e0,
% 196.74/32.29 | e0, simplifying with (156), (173) gives:
% 196.74/32.29 | (252) all_54_15 = all_52_15
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_54_15, all_56_15, e0,
% 196.74/32.29 | e0, simplifying with (173), (210) gives:
% 196.74/32.29 | (253) all_56_15 = all_54_15
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_10_2, all_56_15, e0, e0,
% 196.74/32.29 | simplifying with (45), (210) gives:
% 196.74/32.29 | (254) all_56_15 = all_10_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_52_11, all_54_14, e1,
% 196.74/32.29 | e0, simplifying with (157), (174) gives:
% 196.74/32.29 | (255) all_54_14 = all_52_11
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_52_7, all_54_13, e2, e0,
% 196.74/32.29 | simplifying with (158), (175) gives:
% 196.74/32.29 | (256) all_54_13 = all_52_7
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_52_3, all_54_12, e3, e0,
% 196.74/32.29 | simplifying with (159), (176) gives:
% 196.74/32.29 | (257) all_54_12 = all_52_3
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_52_14, all_54_11, e0,
% 196.74/32.29 | e1, simplifying with (160), (177) gives:
% 196.74/32.29 | (258) all_54_11 = all_52_14
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_12_2, e1, e1,
% 196.74/32.29 | simplifying with (42), (48) gives:
% 196.74/32.29 | (259) all_12_2 = all_8_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_50_2, all_52_10, e1, e1,
% 196.74/32.29 | simplifying with (105), (161) gives:
% 196.74/32.29 | (260) all_52_10 = all_50_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_48_2, all_52_10, e1, e1,
% 196.74/32.29 | simplifying with (102), (161) gives:
% 196.74/32.29 | (261) all_52_10 = all_48_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_32_2, all_52_10, e1, e1,
% 196.74/32.29 | simplifying with (78), (161) gives:
% 196.74/32.29 | (262) all_52_10 = all_32_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_12_2, all_52_10, e1, e1,
% 196.74/32.29 | simplifying with (48), (161) gives:
% 196.74/32.29 | (263) all_52_10 = all_12_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_50_2, all_54_10, e1, e1,
% 196.74/32.29 | simplifying with (105), (178) gives:
% 196.74/32.29 | (264) all_54_10 = all_50_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_54_10, all_56_14, e1,
% 196.74/32.29 | e1, simplifying with (178), (211) gives:
% 196.74/32.29 | (265) all_56_14 = all_54_10
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_56_14, e1, e1,
% 196.74/32.29 | simplifying with (36), (211) gives:
% 196.74/32.29 | (266) all_56_14 = all_4_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_52_6, all_54_9, e2, e1,
% 196.74/32.29 | simplifying with (162), (179) gives:
% 196.74/32.29 | (267) all_54_9 = all_52_6
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_52_2, all_54_8, e3, e1,
% 196.74/32.29 | simplifying with (163), (180) gives:
% 196.74/32.29 | (268) all_54_8 = all_52_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_52_13, all_54_7, e0, e2,
% 196.74/32.29 | simplifying with (164), (181) gives:
% 196.74/32.29 | (269) all_54_7 = all_52_13
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_52_9, all_54_6, e1, e2,
% 196.74/32.29 | simplifying with (165), (182) gives:
% 196.74/32.29 | (270) all_54_6 = all_52_9
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_18_2, all_20_2, e2, e2,
% 196.74/32.29 | simplifying with (57), (60) gives:
% 196.74/32.29 | (271) all_20_2 = all_18_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_18_2, all_26_2, e2, e2,
% 196.74/32.29 | simplifying with (57), (69) gives:
% 196.74/32.29 | (272) all_26_2 = all_18_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_26_2, all_52_5, e2, e2,
% 196.74/32.29 | simplifying with (69), (166) gives:
% 196.74/32.29 | (273) all_52_5 = all_26_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_52_5, all_54_5, e2, e2,
% 196.74/32.29 | simplifying with (166), (183) gives:
% 196.74/32.29 | (274) all_54_5 = all_52_5
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_54_5, e2, e2,
% 196.74/32.29 | simplifying with (39), (183) gives:
% 196.74/32.29 | (275) all_54_5 = all_6_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_38_2, all_56_13, e2, e2,
% 196.74/32.29 | simplifying with (87), (212) gives:
% 196.74/32.29 | (276) all_56_13 = all_38_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_56_13, e2, e2,
% 196.74/32.29 | simplifying with (60), (212) gives:
% 196.74/32.29 | (277) all_56_13 = all_20_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_16_2, all_56_13, e2, e2,
% 196.74/32.29 | simplifying with (54), (212) gives:
% 196.74/32.29 | (278) all_56_13 = all_16_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_52_1, all_54_4, e3, e2,
% 196.74/32.29 | simplifying with (167), (184) gives:
% 196.74/32.29 | (279) all_54_4 = all_52_1
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_52_12, all_54_3, e0, e3,
% 196.74/32.29 | simplifying with (168), (185) gives:
% 196.74/32.29 | (280) all_54_3 = all_52_12
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_52_8, all_54_2, e1, e3,
% 196.74/32.29 | simplifying with (169), (186) gives:
% 196.74/32.29 | (281) all_54_2 = all_52_8
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_52_4, all_54_1, e2, e3,
% 196.74/32.29 | simplifying with (170), (187) gives:
% 196.74/32.29 | (282) all_54_1 = all_52_4
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_28_2, all_34_2, e3, e3,
% 196.74/32.29 | simplifying with (72), (81) gives:
% 196.74/32.29 | (283) all_34_2 = all_28_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_36_2, all_44_2, e3, e3,
% 196.74/32.29 | simplifying with (84), (96) gives:
% 196.74/32.29 | (284) all_44_2 = all_36_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_34_2, all_44_2, e3, e3,
% 196.74/32.29 | simplifying with (81), (96) gives:
% 196.74/32.29 | (285) all_44_2 = all_34_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_28_2, all_52_0, e3, e3,
% 196.74/32.29 | simplifying with (72), (171) gives:
% 196.74/32.29 | (286) all_52_0 = all_28_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_22_2, all_52_0, e3, e3,
% 196.74/32.29 | simplifying with (63), (171) gives:
% 196.74/32.29 | (287) all_52_0 = all_22_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_44_2, all_54_0, e3, e3,
% 196.74/32.29 | simplifying with (96), (188) gives:
% 196.74/32.29 | (288) all_54_0 = all_44_2
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_54_0, all_56_12, e3, e3,
% 196.74/32.29 | simplifying with (188), (213) gives:
% 196.74/32.29 | (289) all_56_12 = all_54_0
% 196.74/32.29 |
% 196.74/32.29 | GROUND_INST: instantiating (function-axioms) with all_14_2, all_56_12, e3, e3,
% 196.74/32.29 | simplifying with (51), (213) gives:
% 196.74/32.29 | (290) all_56_12 = all_14_2
% 196.74/32.29 |
% 196.74/32.29 | COMBINE_EQS: (289), (290) imply:
% 196.74/32.29 | (291) all_54_0 = all_14_2
% 196.74/32.29 |
% 196.74/32.29 | SIMP: (291) implies:
% 196.74/32.29 | (292) all_54_0 = all_14_2
% 196.74/32.29 |
% 196.74/32.29 | COMBINE_EQS: (276), (277) imply:
% 196.74/32.29 | (293) all_38_2 = all_20_2
% 196.74/32.29 |
% 196.74/32.29 | COMBINE_EQS: (276), (278) imply:
% 196.74/32.29 | (294) all_38_2 = all_16_2
% 196.74/32.29 |
% 196.74/32.29 | COMBINE_EQS: (265), (266) imply:
% 196.74/32.29 | (295) all_54_10 = all_4_2
% 196.74/32.29 |
% 196.74/32.29 | SIMP: (295) implies:
% 196.74/32.29 | (296) all_54_10 = all_4_2
% 196.74/32.29 |
% 196.74/32.29 | COMBINE_EQS: (253), (254) imply:
% 196.74/32.29 | (297) all_54_15 = all_10_2
% 196.74/32.29 |
% 196.74/32.29 | SIMP: (297) implies:
% 196.74/32.29 | (298) all_54_15 = all_10_2
% 196.74/32.29 |
% 196.74/32.29 | COMBINE_EQS: (288), (292) imply:
% 196.74/32.29 | (299) all_44_2 = all_14_2
% 196.74/32.29 |
% 196.74/32.29 | SIMP: (299) implies:
% 196.74/32.29 | (300) all_44_2 = all_14_2
% 196.74/32.29 |
% 196.74/32.29 | COMBINE_EQS: (274), (275) imply:
% 196.74/32.29 | (301) all_52_5 = all_6_2
% 196.74/32.29 |
% 196.74/32.29 | SIMP: (301) implies:
% 196.74/32.29 | (302) all_52_5 = all_6_2
% 196.74/32.29 |
% 196.74/32.29 | COMBINE_EQS: (264), (296) imply:
% 196.74/32.29 | (303) all_50_2 = all_4_2
% 196.74/32.29 |
% 196.74/32.29 | SIMP: (303) implies:
% 196.74/32.29 | (304) all_50_2 = all_4_2
% 196.74/32.29 |
% 196.74/32.29 | COMBINE_EQS: (252), (298) imply:
% 196.74/32.29 | (305) all_52_15 = all_10_2
% 196.74/32.29 |
% 196.74/32.29 | SIMP: (305) implies:
% 196.74/32.30 | (306) all_52_15 = all_10_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (286), (287) imply:
% 196.74/32.30 | (307) all_28_2 = all_22_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (307) implies:
% 196.74/32.30 | (308) all_28_2 = all_22_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (273), (302) imply:
% 196.74/32.30 | (309) all_26_2 = all_6_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (309) implies:
% 196.74/32.30 | (310) all_26_2 = all_6_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (261), (263) imply:
% 196.74/32.30 | (311) all_48_2 = all_12_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (260), (261) imply:
% 196.74/32.30 | (312) all_50_2 = all_48_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (312) implies:
% 196.74/32.30 | (313) all_50_2 = all_48_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (261), (262) imply:
% 196.74/32.30 | (314) all_48_2 = all_32_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (251), (306) imply:
% 196.74/32.30 | (315) all_40_2 = all_10_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (315) implies:
% 196.74/32.30 | (316) all_40_2 = all_10_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (304), (313) imply:
% 196.74/32.30 | (317) all_48_2 = all_4_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (317) implies:
% 196.74/32.30 | (318) all_48_2 = all_4_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (314), (318) imply:
% 196.74/32.30 | (319) all_32_2 = all_4_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (311), (314) imply:
% 196.74/32.30 | (320) all_32_2 = all_12_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (248), (250) imply:
% 196.74/32.30 | (321) all_42_2 = all_24_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (248), (249) imply:
% 196.74/32.30 | (322) all_42_2 = all_30_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (284), (300) imply:
% 196.74/32.30 | (323) all_36_2 = all_14_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (284), (285) imply:
% 196.74/32.30 | (324) all_36_2 = all_34_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (321), (322) imply:
% 196.74/32.30 | (325) all_30_2 = all_24_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (325) implies:
% 196.74/32.30 | (326) all_30_2 = all_24_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (247), (316) imply:
% 196.74/32.30 | (327) all_30_2 = all_10_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (327) implies:
% 196.74/32.30 | (328) all_30_2 = all_10_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (293), (294) imply:
% 196.74/32.30 | (329) all_20_2 = all_16_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (329) implies:
% 196.74/32.30 | (330) all_20_2 = all_16_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (323), (324) imply:
% 196.74/32.30 | (331) all_34_2 = all_14_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (331) implies:
% 196.74/32.30 | (332) all_34_2 = all_14_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (283), (332) imply:
% 196.74/32.30 | (333) all_28_2 = all_14_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (333) implies:
% 196.74/32.30 | (334) all_28_2 = all_14_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (319), (320) imply:
% 196.74/32.30 | (335) all_12_2 = all_4_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (335) implies:
% 196.74/32.30 | (336) all_12_2 = all_4_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (326), (328) imply:
% 196.74/32.30 | (337) all_24_2 = all_10_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (308), (334) imply:
% 196.74/32.30 | (338) all_22_2 = all_14_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (338) implies:
% 196.74/32.30 | (339) all_22_2 = all_14_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (272), (310) imply:
% 196.74/32.30 | (340) all_18_2 = all_6_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (340) implies:
% 196.74/32.30 | (341) all_18_2 = all_6_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (271), (330) imply:
% 196.74/32.30 | (342) all_18_2 = all_16_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (342) implies:
% 196.74/32.30 | (343) all_18_2 = all_16_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (341), (343) imply:
% 196.74/32.30 | (344) all_16_2 = all_6_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (344) implies:
% 196.74/32.30 | (345) all_16_2 = all_6_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (259), (336) imply:
% 196.74/32.30 | (346) all_8_2 = all_4_2
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (346) implies:
% 196.74/32.30 | (347) all_8_2 = all_4_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (330), (345) imply:
% 196.74/32.30 | (348) all_20_2 = all_6_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (294), (345) imply:
% 196.74/32.30 | (349) all_38_2 = all_6_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (321), (337) imply:
% 196.74/32.30 | (350) all_42_2 = all_10_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (248), (350) imply:
% 196.74/32.30 | (351) all_46_2 = all_10_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (261), (318) imply:
% 196.74/32.30 | (352) all_52_10 = all_4_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (287), (339) imply:
% 196.74/32.30 | (353) all_52_0 = all_14_2
% 196.74/32.30 |
% 196.74/32.30 | COMBINE_EQS: (276), (349) imply:
% 196.74/32.30 | (354) all_56_13 = all_6_2
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (209), (290) imply:
% 196.74/32.30 | (355) ~ (all_14_2 = e3)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (208), (354) imply:
% 196.74/32.30 | (356) ~ (all_6_2 = e2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (207), (266) imply:
% 196.74/32.30 | (357) ~ (all_4_2 = e1)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (206), (254) imply:
% 196.74/32.30 | (358) ~ (all_10_2 = e0)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (155), (353) imply:
% 196.74/32.30 | (359) ~ (all_52_1 = all_14_2)
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (359) implies:
% 196.74/32.30 | (360) ~ (all_52_1 = all_14_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (154), (353) imply:
% 196.74/32.30 | (361) ~ (all_52_2 = all_14_2)
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (361) implies:
% 196.74/32.30 | (362) ~ (all_52_2 = all_14_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (153), (353) imply:
% 196.74/32.30 | (363) ~ (all_52_3 = all_14_2)
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (363) implies:
% 196.74/32.30 | (364) ~ (all_52_3 = all_14_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (152), (353) imply:
% 196.74/32.30 | (365) ~ (all_52_4 = all_14_2)
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (365) implies:
% 196.74/32.30 | (366) ~ (all_52_4 = all_14_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (151), (353) imply:
% 196.74/32.30 | (367) ~ (all_52_8 = all_14_2)
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (367) implies:
% 196.74/32.30 | (368) ~ (all_52_8 = all_14_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (150), (353) imply:
% 196.74/32.30 | (369) ~ (all_52_12 = all_14_2)
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (369) implies:
% 196.74/32.30 | (370) ~ (all_52_12 = all_14_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (147), (302) imply:
% 196.74/32.30 | (371) ~ (all_52_1 = all_6_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (142), (352) imply:
% 196.74/32.30 | (372) ~ (all_52_2 = all_4_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (138), (306) imply:
% 196.74/32.30 | (373) ~ (all_52_3 = all_10_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (137), (302) imply:
% 196.74/32.30 | (374) ~ (all_52_4 = all_6_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (132), (302) imply:
% 196.74/32.30 | (375) ~ (all_52_6 = all_6_2)
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (375) implies:
% 196.74/32.30 | (376) ~ (all_52_6 = all_6_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (131), (302) imply:
% 196.74/32.30 | (377) ~ (all_52_7 = all_6_2)
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (377) implies:
% 196.74/32.30 | (378) ~ (all_52_7 = all_6_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (130), (302) imply:
% 196.74/32.30 | (379) ~ (all_52_9 = all_6_2)
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (379) implies:
% 196.74/32.30 | (380) ~ (all_52_9 = all_6_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (129), (302) imply:
% 196.74/32.30 | (381) ~ (all_52_13 = all_6_2)
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (381) implies:
% 196.74/32.30 | (382) ~ (all_52_13 = all_6_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (127), (352) imply:
% 196.74/32.30 | (383) ~ (all_52_6 = all_4_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (124), (306) imply:
% 196.74/32.30 | (384) ~ (all_52_7 = all_10_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (122), (352) imply:
% 196.74/32.30 | (385) ~ (all_52_8 = all_4_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (119), (352) imply:
% 196.74/32.30 | (386) ~ (all_52_9 = all_4_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (116), (352) imply:
% 196.74/32.30 | (387) ~ (all_52_11 = all_4_2)
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (387) implies:
% 196.74/32.30 | (388) ~ (all_52_11 = all_4_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (115), (352) imply:
% 196.74/32.30 | (389) ~ (all_52_14 = all_4_2)
% 196.74/32.30 |
% 196.74/32.30 | SIMP: (389) implies:
% 196.74/32.30 | (390) ~ (all_52_14 = all_4_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (114), (306) imply:
% 196.74/32.30 | (391) ~ (all_52_11 = all_10_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (111), (306) imply:
% 196.74/32.30 | (392) ~ (all_52_12 = all_10_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (109), (306) imply:
% 196.74/32.30 | (393) ~ (all_52_13 = all_10_2)
% 196.74/32.30 |
% 196.74/32.30 | REDUCE: (108), (306) imply:
% 196.74/32.30 | (394) ~ (all_52_14 = all_10_2)
% 196.74/32.30 |
% 196.74/32.30 | BETA: splitting (37) gives:
% 196.74/32.30 |
% 196.74/32.30 | Case 1:
% 196.74/32.30 | |
% 196.74/32.30 | | (395) ~ (all_4_2 = e0)
% 196.74/32.30 | |
% 196.74/32.30 | | BETA: splitting (40) gives:
% 196.74/32.30 | |
% 196.74/32.30 | | Case 1:
% 196.74/32.30 | | |
% 196.74/32.30 | | | (396) ~ (all_6_2 = e1)
% 196.74/32.30 | | |
% 196.74/32.30 | | | BETA: splitting (43) gives:
% 196.74/32.30 | | |
% 196.74/32.30 | | | Case 1:
% 196.74/32.30 | | | |
% 196.74/32.30 | | | | (397) ~ (all_8_2 = e2)
% 196.74/32.30 | | | |
% 196.74/32.31 | | | | REDUCE: (347), (397) imply:
% 196.74/32.31 | | | | (398) ~ (all_4_2 = e2)
% 196.74/32.31 | | | |
% 196.74/32.31 | | | | BETA: splitting (194) gives:
% 196.74/32.31 | | | |
% 196.74/32.31 | | | | Case 1:
% 196.74/32.31 | | | | |
% 196.74/32.31 | | | | | (399) all_54_10 = e3
% 196.74/32.31 | | | | |
% 196.74/32.31 | | | | | COMBINE_EQS: (296), (399) imply:
% 196.74/32.31 | | | | | (400) all_4_2 = e3
% 196.74/32.31 | | | | |
% 196.74/32.31 | | | | | SIMP: (400) implies:
% 196.74/32.31 | | | | | (401) all_4_2 = e3
% 196.74/32.31 | | | | |
% 196.74/32.31 | | | | | COMBINE_EQS: (319), (401) imply:
% 196.74/32.31 | | | | | (402) all_32_2 = e3
% 196.74/32.31 | | | | |
% 196.74/32.31 | | | | | COMBINE_EQS: (304), (401) imply:
% 196.74/32.31 | | | | | (403) all_50_2 = e3
% 196.74/32.31 | | | | |
% 196.74/32.31 | | | | | COMBINE_EQS: (266), (401) imply:
% 196.74/32.31 | | | | | (404) all_56_14 = e3
% 196.74/32.31 | | | | |
% 196.74/32.31 | | | | | REDUCE: (372), (401) imply:
% 196.74/32.31 | | | | | (405) ~ (all_52_2 = e3)
% 196.74/32.31 | | | | |
% 196.74/32.31 | | | | | REDUCE: (383), (401) imply:
% 196.74/32.31 | | | | | (406) ~ (all_52_6 = e3)
% 196.74/32.31 | | | | |
% 196.74/32.31 | | | | | REDUCE: (385), (401) imply:
% 196.74/32.31 | | | | | (407) ~ (all_52_8 = e3)
% 196.74/32.31 | | | | |
% 196.74/32.31 | | | | | REDUCE: (386), (401) imply:
% 196.74/32.31 | | | | | (408) ~ (all_52_9 = e3)
% 196.74/32.31 | | | | |
% 196.74/32.31 | | | | | REDUCE: (388), (401) imply:
% 196.74/32.31 | | | | | (409) ~ (all_52_11 = e3)
% 196.74/32.31 | | | | |
% 196.74/32.31 | | | | | REDUCE: (390), (401) imply:
% 196.74/32.31 | | | | | (410) ~ (all_52_14 = e3)
% 196.74/32.31 | | | | |
% 196.74/32.31 | | | | | BETA: splitting (230) gives:
% 196.74/32.31 | | | | |
% 196.74/32.31 | | | | | Case 1:
% 196.74/32.31 | | | | | |
% 196.74/32.31 | | | | | | (411) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2,
% 196.74/32.31 | | | | | | e1) = e3)
% 196.74/32.31 | | | | | |
% 196.74/32.31 | | | | | | BETA: splitting (411) gives:
% 196.74/32.31 | | | | | |
% 196.74/32.31 | | | | | | Case 1:
% 196.74/32.31 | | | | | | |
% 196.74/32.31 | | | | | | | (412) all_58_4 = e3 & op(e3, e1) = e3
% 196.74/32.31 | | | | | | |
% 196.74/32.31 | | | | | | | ALPHA: (412) implies:
% 196.74/32.31 | | | | | | | (413) op(e3, e1) = e3
% 196.74/32.31 | | | | | | |
% 196.74/32.31 | | | | | | | BETA: splitting (79) gives:
% 196.74/32.31 | | | | | | |
% 196.74/32.31 | | | | | | | Case 1:
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | | (414) ~ (all_32_2 = e3)
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | | REDUCE: (402), (414) imply:
% 196.74/32.31 | | | | | | | | (415) $false
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | | CLOSE: (415) is inconsistent.
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | Case 2:
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | | (416) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~ (all_32_1 =
% 196.74/32.31 | | | | | | | | e0) | ( ~ (all_32_0 = e2) & op(e0, e1) = all_32_0 &
% 196.74/32.31 | | | | | | | | $i(all_32_0)))
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | | ALPHA: (416) implies:
% 196.74/32.31 | | | | | | | | (417) op(e3, e1) = all_32_1
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | | BETA: splitting (106) gives:
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | | Case 1:
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | (418) ~ (all_50_2 = e3)
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | REDUCE: (403), (418) imply:
% 196.74/32.31 | | | | | | | | | (419) $false
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | CLOSE: (419) is inconsistent.
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | Case 2:
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | (420) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~ (all_50_1
% 196.74/32.31 | | | | | | | | | = e2) | ( ~ (all_50_0 = e0) & op(e2, e1) =
% 196.74/32.31 | | | | | | | | | all_50_0 & $i(all_50_0)))
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | ALPHA: (420) implies:
% 196.74/32.31 | | | | | | | | | (421) op(e3, e1) = all_50_1
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | REF_CLOSE: (169), (407), (413), (417), (421),
% 196.74/32.31 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.74/32.31 | | | | | | | | | #1930.
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | End of split
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | End of split
% 196.74/32.31 | | | | | | |
% 196.74/32.31 | | | | | | Case 2:
% 196.74/32.31 | | | | | | |
% 196.74/32.31 | | | | | | | (422) all_58_5 = e3 & op(e2, e1) = e3
% 196.74/32.31 | | | | | | |
% 196.74/32.31 | | | | | | | ALPHA: (422) implies:
% 196.74/32.31 | | | | | | | (423) op(e2, e1) = e3
% 196.74/32.31 | | | | | | |
% 196.74/32.31 | | | | | | | REF_CLOSE: (165), (408), (423), (function-axioms) are inconsistent
% 196.74/32.31 | | | | | | | by sub-proof #1929.
% 196.74/32.31 | | | | | | |
% 196.74/32.31 | | | | | | End of split
% 196.74/32.31 | | | | | |
% 196.74/32.31 | | | | | Case 2:
% 196.74/32.31 | | | | | |
% 196.74/32.31 | | | | | | (424) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 &
% 196.74/32.31 | | | | | | op(e0, e1) = e3)
% 196.74/32.31 | | | | | |
% 196.74/32.31 | | | | | | BETA: splitting (424) gives:
% 196.74/32.31 | | | | | |
% 196.74/32.31 | | | | | | Case 1:
% 196.74/32.31 | | | | | | |
% 196.74/32.31 | | | | | | | (425) all_58_8 = e3 & op(e1, e1) = e3
% 196.74/32.31 | | | | | | |
% 196.74/32.31 | | | | | | | ALPHA: (425) implies:
% 196.74/32.31 | | | | | | | (426) all_58_8 = e3
% 196.74/32.31 | | | | | | |
% 196.74/32.31 | | | | | | | BETA: splitting (79) gives:
% 196.74/32.31 | | | | | | |
% 196.74/32.31 | | | | | | | Case 1:
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | | (427) ~ (all_32_2 = e3)
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | | REDUCE: (402), (427) imply:
% 196.74/32.31 | | | | | | | | (428) $false
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | | CLOSE: (428) is inconsistent.
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | Case 2:
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | | (429) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~ (all_32_1 =
% 196.74/32.31 | | | | | | | | e0) | ( ~ (all_32_0 = e2) & op(e0, e1) = all_32_0 &
% 196.74/32.31 | | | | | | | | $i(all_32_0)))
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | | ALPHA: (429) implies:
% 196.74/32.31 | | | | | | | | (430) op(e3, e1) = all_32_1
% 196.74/32.31 | | | | | | | | (431) ~ (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0, e1) =
% 196.74/32.31 | | | | | | | | all_32_0 & $i(all_32_0))
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | | BETA: splitting (106) gives:
% 196.74/32.31 | | | | | | | |
% 196.74/32.31 | | | | | | | | Case 1:
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | (432) ~ (all_50_2 = e3)
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | REDUCE: (403), (432) imply:
% 196.74/32.31 | | | | | | | | | (433) $false
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | CLOSE: (433) is inconsistent.
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | Case 2:
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | (434) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~ (all_50_1
% 196.74/32.31 | | | | | | | | | = e2) | ( ~ (all_50_0 = e0) & op(e2, e1) =
% 196.74/32.31 | | | | | | | | | all_50_0 & $i(all_50_0)))
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | ALPHA: (434) implies:
% 196.74/32.31 | | | | | | | | | (435) op(e3, e1) = all_50_1
% 196.74/32.31 | | | | | | | | | (436) ~ (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2, e1)
% 196.74/32.31 | | | | | | | | | = all_50_0 & $i(all_50_0))
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 196.74/32.31 | | | | | | | | | all_32_1, e1, e3, simplifying with (169), (430)
% 196.74/32.31 | | | | | | | | | gives:
% 196.74/32.31 | | | | | | | | | (437) all_52_8 = all_32_1
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 196.74/32.31 | | | | | | | | | all_50_1, e1, e3, simplifying with (169), (435)
% 196.74/32.31 | | | | | | | | | gives:
% 196.74/32.31 | | | | | | | | | (438) all_52_8 = all_50_1
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | COMBINE_EQS: (437), (438) imply:
% 196.74/32.31 | | | | | | | | | (439) all_50_1 = all_32_1
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | SIMP: (439) implies:
% 196.74/32.31 | | | | | | | | | (440) all_50_1 = all_32_1
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | COMBINE_EQS: (281), (437) imply:
% 196.74/32.31 | | | | | | | | | (441) all_54_2 = all_32_1
% 196.74/32.31 | | | | | | | | |
% 196.74/32.31 | | | | | | | | | REDUCE: (134), (437) imply:
% 196.74/32.32 | | | | | | | | | (442) ~ (all_52_4 = all_32_1)
% 196.74/32.32 | | | | | | | | |
% 196.74/32.32 | | | | | | | | | REDUCE: (123), (437) imply:
% 196.74/32.32 | | | | | | | | | (443) ~ (all_52_9 = all_32_1)
% 196.74/32.32 | | | | | | | | |
% 196.74/32.32 | | | | | | | | | SIMP: (443) implies:
% 196.74/32.32 | | | | | | | | | (444) ~ (all_52_9 = all_32_1)
% 196.74/32.32 | | | | | | | | |
% 196.74/32.32 | | | | | | | | | REDUCE: (121), (437) imply:
% 196.74/32.32 | | | | | | | | | (445) ~ (all_52_11 = all_32_1)
% 196.74/32.32 | | | | | | | | |
% 196.74/32.32 | | | | | | | | | SIMP: (445) implies:
% 196.74/32.32 | | | | | | | | | (446) ~ (all_52_11 = all_32_1)
% 196.74/32.32 | | | | | | | | |
% 196.74/32.32 | | | | | | | | | REDUCE: (120), (437) imply:
% 196.74/32.32 | | | | | | | | | (447) ~ (all_52_12 = all_32_1)
% 196.74/32.32 | | | | | | | | |
% 196.74/32.32 | | | | | | | | | SIMP: (447) implies:
% 196.74/32.32 | | | | | | | | | (448) ~ (all_52_12 = all_32_1)
% 196.74/32.32 | | | | | | | | |
% 196.74/32.32 | | | | | | | | | REDUCE: (368), (437) imply:
% 196.74/32.32 | | | | | | | | | (449) ~ (all_32_1 = all_14_2)
% 196.74/32.32 | | | | | | | | |
% 196.74/32.32 | | | | | | | | | REDUCE: (407), (437) imply:
% 196.74/32.32 | | | | | | | | | (450) ~ (all_32_1 = e3)
% 196.74/32.32 | | | | | | | | |
% 196.74/32.32 | | | | | | | | | BETA: splitting (46) gives:
% 196.74/32.32 | | | | | | | | |
% 196.74/32.32 | | | | | | | | | Case 1:
% 196.74/32.32 | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | (451) ~ (all_10_2 = e3)
% 196.74/32.32 | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | BETA: splitting (52) gives:
% 196.74/32.32 | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | Case 1:
% 196.74/32.32 | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | (452) ~ (all_14_2 = e2)
% 196.74/32.32 | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | BETA: splitting (55) gives:
% 196.74/32.32 | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | Case 1:
% 196.74/32.32 | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | (453) ~ (all_16_2 = e3)
% 196.74/32.32 | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | REDUCE: (345), (453) imply:
% 196.74/32.32 | | | | | | | | | | | | (454) ~ (all_6_2 = e3)
% 196.74/32.32 | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | BETA: splitting (199) gives:
% 196.74/32.32 | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | Case 1:
% 196.74/32.32 | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | (455) all_54_5 = e3
% 196.74/32.32 | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | REF_CLOSE: (275), (454), (455) are inconsistent by sub-proof
% 196.74/32.32 | | | | | | | | | | | | | #1928.
% 196.74/32.32 | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | Case 2:
% 196.74/32.32 | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | (456) ~ (all_54_5 = e3)
% 196.74/32.32 | | | | | | | | | | | | | (457) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.74/32.32 | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | BETA: splitting (457) gives:
% 196.74/32.32 | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | Case 1:
% 196.74/32.32 | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | (458) all_54_5 = e2
% 196.74/32.32 | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | REF_CLOSE: (275), (356), (458) are inconsistent by sub-proof
% 196.74/32.32 | | | | | | | | | | | | | | #1927.
% 196.74/32.32 | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | Case 2:
% 196.74/32.32 | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | (459) ~ (all_54_5 = e2)
% 196.74/32.32 | | | | | | | | | | | | | | (460) all_54_5 = e1 | all_54_5 = e0
% 196.74/32.32 | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | BETA: splitting (460) gives:
% 196.74/32.32 | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | Case 1:
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | (461) all_54_5 = e1
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | REF_CLOSE: (275), (396), (461) are inconsistent by sub-proof
% 196.74/32.32 | | | | | | | | | | | | | | | #1926.
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | Case 2:
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | (462) all_54_5 = e0
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | COMBINE_EQS: (275), (462) imply:
% 196.74/32.32 | | | | | | | | | | | | | | | (463) all_6_2 = e0
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | SIMP: (463) implies:
% 196.74/32.32 | | | | | | | | | | | | | | | (464) all_6_2 = e0
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | COMBINE_EQS: (348), (464) imply:
% 196.74/32.32 | | | | | | | | | | | | | | | (465) all_20_2 = e0
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | COMBINE_EQS: (310), (464) imply:
% 196.74/32.32 | | | | | | | | | | | | | | | (466) all_26_2 = e0
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | COMBINE_EQS: (354), (464) imply:
% 196.74/32.32 | | | | | | | | | | | | | | | (467) all_56_13 = e0
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | REDUCE: (374), (464) imply:
% 196.74/32.32 | | | | | | | | | | | | | | | (468) ~ (all_52_4 = e0)
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | REDUCE: (378), (464) imply:
% 196.74/32.32 | | | | | | | | | | | | | | | (469) ~ (all_52_7 = e0)
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | REDUCE: (380), (464) imply:
% 196.74/32.32 | | | | | | | | | | | | | | | (470) ~ (all_52_9 = e0)
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | REDUCE: (382), (464) imply:
% 196.74/32.32 | | | | | | | | | | | | | | | (471) ~ (all_52_13 = e0)
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | REDUCE: (454), (464) imply:
% 196.74/32.32 | | | | | | | | | | | | | | | (472) ~ (e3 = e0)
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | REDUCE: (356), (464) imply:
% 196.74/32.32 | | | | | | | | | | | | | | | (473) ~ (e2 = e0)
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | REDUCE: (396), (464) imply:
% 196.74/32.32 | | | | | | | | | | | | | | | (474) ~ (e1 = e0)
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | REDUCE: (39), (464) imply:
% 196.74/32.32 | | | | | | | | | | | | | | | (475) op(e2, e2) = e0
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 196.74/32.32 | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | Case 1:
% 196.74/32.32 | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | (476) ~ (all_20_2 = e0)
% 196.74/32.32 | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | REDUCE: (465), (476) imply:
% 196.74/32.32 | | | | | | | | | | | | | | | | (477) $false
% 196.74/32.32 | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | CLOSE: (477) is inconsistent.
% 196.74/32.32 | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | Case 2:
% 196.74/32.32 | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | (478) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 196.74/32.32 | | | | | | | | | | | | | | | | (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 196.74/32.32 | | | | | | | | | | | | | | | | e2) = all_20_0 & $i(all_20_0)))
% 196.74/32.32 | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | ALPHA: (478) implies:
% 196.74/32.32 | | | | | | | | | | | | | | | | (479) op(e0, e2) = all_20_1
% 196.74/32.32 | | | | | | | | | | | | | | | | (480) ~ (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 196.74/32.32 | | | | | | | | | | | | | | | | e2) = all_20_0 & $i(all_20_0))
% 196.74/32.32 | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 196.74/32.32 | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | Case 1:
% 196.74/32.32 | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | (481) ~ (all_26_2 = e0)
% 196.74/32.32 | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | REDUCE: (466), (481) imply:
% 196.74/32.32 | | | | | | | | | | | | | | | | | (482) $false
% 196.74/32.32 | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | CLOSE: (482) is inconsistent.
% 196.74/32.32 | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | Case 2:
% 196.74/32.32 | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | (483) op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~
% 196.74/32.32 | | | | | | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 196.74/32.32 | | | | | | | | | | | | | | | | | e2) = all_26_0 & $i(all_26_0)))
% 196.74/32.32 | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | ALPHA: (483) implies:
% 196.74/32.32 | | | | | | | | | | | | | | | | | (484) op(e0, e2) = all_26_1
% 196.74/32.32 | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 196.74/32.32 | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | Case 1:
% 196.74/32.32 | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | (485) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 196.74/32.32 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 196.74/32.32 | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | BETA: splitting (485) gives:
% 196.74/32.32 | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | Case 1:
% 196.74/32.32 | | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | (486) all_58_2 = e0 & op(e2, e3) = e0
% 196.74/32.32 | | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | ALPHA: (486) implies:
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | (487) all_58_2 = e0
% 196.74/32.32 | | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 196.74/32.32 | | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | Case 1:
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | (488) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | BETA: splitting (488) gives:
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | | (489) all_58_2 = e3 & op(e2, e3) = e3
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | | ALPHA: (489) implies:
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | | (490) all_58_2 = e3
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (487), (490) are inconsistent by sub-proof
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | | #1925.
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | | (491) all_58_3 = e3 & op(e2, e2) = e3
% 196.74/32.32 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (73), (76),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (82), (85), (91), (94), (97), (100), (110), (112),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (113), (117), (118), (125), (126), (128), (133),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (157), (158), (159), (160),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (170), (189), (190), (191), (192), (193), (195),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (200), (201), (202), (203),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (204), (214), (216), (217), (218), (219), (220),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (229), (232), (233), (234), (236), (237), (238),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (246), (254), (255), (256), (257), (258), (267),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (279), (280), (282), (290),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (292), (298), (300), (316), (323), (328), (332),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (334), (350), (351), (355), (358), (360), (362),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (364), (366), (373), (384), (392), (393), (394),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (404), (405), (406), (407), (408), (409), (410),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (426), (430), (431), (435), (441), (442), (444),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (446), (448), (449), (450), (451), (452), (467),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (468), (469), (470), (471), (475), (479), (480),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (484), (491), (function-axioms) are inconsistent
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1421.
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | End of split
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | Case 2:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | (492) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | BETA: splitting (492) gives:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (493) all_58_5 = e3 & op(e2, e1) = e3
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | ALPHA: (493) implies:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (494) op(e2, e1) = e3
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (408), (494), (function-axioms) are
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (495) all_58_10 = e3 & op(e2, e0) = e3
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | ALPHA: (495) implies:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | (496) all_58_10 = e3
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | (497) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (497) gives:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (498) all_58_2 = e2 & op(e2, e3) = e2
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (498) implies:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (499) all_58_2 = e2
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (487), (499) are inconsistent by sub-proof
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | #1664.
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (500) all_58_3 = e2 & op(e2, e2) = e2
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (73), (76),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (82), (85), (91), (94), (97), (100), (110), (112),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (113), (117), (118), (125), (126), (128), (133),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (157), (158), (159), (160),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (170), (189), (190), (191), (192), (193), (195),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (200), (201), (202), (203),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (204), (214), (216), (217), (218), (219), (220),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (233), (234), (236), (237), (238),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (246), (254), (255), (256), (257), (258), (267),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (279), (280), (282), (290),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (292), (298), (300), (316), (323), (328), (332),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (334), (350), (351), (355), (358), (360), (362),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (364), (366), (373), (384), (392), (393), (394),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (404), (405), (406), (407), (408), (409), (410),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (426), (430), (431), (435), (441), (442), (444),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (446), (448), (449), (450), (451), (452), (467),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (468), (469), (470), (471), (475), (479), (480),
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (484), (500), (function-axioms) are inconsistent
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1420.
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | (501) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (502) all_58_5 = e2 & op(e2, e1) = e2
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (502) implies:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | (503) all_58_5 = e2
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | (504) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (504) gives:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (505) all_58_2 = e1 & op(e2, e3) = e1
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (505) implies:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (506) all_58_2 = e1
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (487), (506) are inconsistent by sub-proof
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | #1419.
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (507) all_58_3 = e1 & op(e2, e2) = e1
% 196.74/32.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (73), (76),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (82), (85), (91), (94), (97), (100), (110), (112),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (113), (117), (118), (125), (126), (128), (133),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (157), (158), (159), (160),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (170), (189), (190), (191), (192), (193), (195),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (200), (201), (202), (203),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (204), (214), (216), (217), (218), (219), (220),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (233), (234), (236), (237), (238),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (246), (254), (255), (256), (257), (258), (267),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (279), (280), (282), (290),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (292), (298), (300), (316), (323), (328), (332),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (334), (350), (351), (355), (358), (360), (362),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (364), (366), (373), (384), (392), (393), (394),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (404), (405), (406), (407), (408), (409), (410),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (426), (430), (431), (435), (441), (442), (444),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (446), (448), (449), (450), (451), (452), (467),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (468), (469), (470), (471), (475), (479), (480),
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | (484), (507), (function-axioms) are inconsistent
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1418.
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | (508) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (496), (503), (508) are inconsistent by
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1417.
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | (509) all_58_10 = e2 & op(e2, e0) = e2
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (509) implies:
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | (510) all_58_10 = e2
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (496), (510) are inconsistent by sub-proof
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | | #1875.
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | | End of split
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | | End of split
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | End of split
% 196.96/32.33 | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | Case 2:
% 196.96/32.33 | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | (511) all_58_3 = e0 & op(e2, e2) = e0
% 196.96/32.33 | | | | | | | | | | | | | | | | | | |
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | ALPHA: (511) implies:
% 196.96/32.33 | | | | | | | | | | | | | | | | | | | (512) all_58_3 = e0
% 196.96/32.33 | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (73), (76),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (82), (85), (91), (94), (97), (100), (110), (112),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (113), (117), (118), (125), (126), (128), (133),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (145), (146), (148), (157), (158), (159), (160),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (170), (189), (190), (191), (192), (193), (195),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (196), (197), (198), (200), (201), (202), (203),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (204), (214), (216), (217), (218), (219), (220),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (229), (232), (233), (234), (236), (237), (238),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (246), (254), (255), (256), (257), (258), (267),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (268), (269), (270), (279), (280), (282), (290),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (292), (298), (300), (316), (323), (328), (332),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (334), (350), (351), (355), (358), (360), (362),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (364), (366), (373), (384), (392), (393), (394),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (404), (405), (406), (407), (408), (409), (410),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (426), (430), (431), (435), (441), (442), (444),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (446), (448), (449), (450), (451), (452), (467),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (468), (469), (470), (471), (479), (480), (484),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (512), (function-axioms) are inconsistent by
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | sub-proof #1422.
% 196.96/32.34 | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | End of split
% 196.96/32.34 | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | Case 2:
% 196.96/32.34 | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | (513) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 196.96/32.34 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 196.96/32.34 | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | BETA: splitting (513) gives:
% 196.96/32.34 | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | Case 1:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (514) all_58_5 = e0 & op(e2, e1) = e0
% 196.96/32.34 | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | ALPHA: (514) implies:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (515) op(e2, e1) = e0
% 196.96/32.34 | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (470), (515), (function-axioms) are
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 196.96/32.34 | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | Case 2:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (516) all_58_10 = e0 & op(e2, e0) = e0
% 196.96/32.34 | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | ALPHA: (516) implies:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | (517) all_58_10 = e0
% 196.96/32.34 | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | Case 1:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | (518) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | (519) all_58_2 = e3 & op(e2, e3) = e3
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | ALPHA: (519) implies:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | (520) all_58_2 = e3
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | (521) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (521) gives:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (522) all_58_2 = e1 & op(e2, e3) = e1
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (520), (522) are inconsistent by sub-proof
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | #1901.
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (523) all_58_3 = e1 & op(e2, e2) = e1
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (73), (76),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (82), (85), (91), (94), (97), (100), (110), (112),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (113), (117), (118), (125), (126), (128), (133),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (157), (158), (159), (160),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (170), (189), (190), (191), (192), (193), (195),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (200), (201), (202), (203),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (204), (214), (216), (217), (218), (219), (220),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (233), (234), (236), (237), (238),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (246), (254), (255), (256), (257), (258), (267),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (279), (280), (282), (290),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (292), (298), (300), (316), (323), (328), (332),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (334), (350), (351), (355), (358), (360), (362),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (364), (366), (373), (384), (392), (393), (394),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (404), (405), (406), (407), (408), (409), (410),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (426), (430), (431), (435), (441), (442), (444),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (446), (448), (449), (450), (451), (452), (467),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (468), (469), (470), (471), (475), (479), (480),
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (484), (523), (function-axioms) are inconsistent
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1418.
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | (524) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (524) gives:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (525) all_58_5 = e1 & op(e2, e1) = e1
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (525) implies:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | (526) all_58_5 = e1
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | | (527) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (527) gives:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | | | (528) all_58_2 = e2 & op(e2, e3) = e2
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (520), (528) are inconsistent by sub-proof
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | | | (529) all_58_3 = e2 & op(e2, e2) = e2
% 196.96/32.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (73), (76),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (82), (85), (91), (94), (97), (100), (110), (112),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (113), (117), (118), (125), (126), (128), (133),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (157), (158), (159), (160),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (170), (189), (190), (191), (192), (193), (195),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (200), (201), (202), (203),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (204), (214), (216), (217), (218), (219), (220),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (233), (234), (236), (237), (238),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (246), (254), (255), (256), (257), (258), (267),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (279), (280), (282), (290),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (292), (298), (300), (316), (323), (328), (332),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (334), (350), (351), (355), (358), (360), (362),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (364), (366), (373), (384), (392), (393), (394),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (404), (405), (406), (407), (408), (409), (410),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (426), (430), (431), (435), (441), (442), (444),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (446), (448), (449), (450), (451), (452), (467),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (468), (469), (470), (471), (475), (479), (480),
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (484), (529), (function-axioms) are inconsistent
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1420.
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | (530) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (530) gives:
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (531) all_58_5 = e2 & op(e2, e1) = e2
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (531) implies:
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (532) all_58_5 = e2
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (526), (532) are inconsistent by sub-proof
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | #1898.
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.96/32.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | (533) all_58_10 = e2 & op(e2, e0) = e2
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (517), (533) are inconsistent by sub-proof
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | | | | #1521.
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | | (534) all_58_10 = e1 & op(e2, e0) = e1
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (517), (534) are inconsistent by sub-proof
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | | #1416.
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (535) all_58_3 = e3 & op(e2, e2) = e3
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (73), (76),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (82), (85), (91), (94), (97), (100), (110), (112),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (113), (117), (118), (125), (126), (128), (133),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (157), (158), (159), (160),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (170), (189), (190), (191), (192), (193), (195),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (200), (201), (202), (203),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (204), (214), (216), (217), (218), (219), (220),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (229), (232), (233), (234), (236), (237), (238),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (245),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (246), (254), (255), (256), (257), (258), (267),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (279), (280), (282), (290),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (292), (298), (300), (316), (323), (328), (332),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (334), (350), (351), (355), (358), (360), (362),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (364), (366), (373), (384), (392), (393), (394),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (404), (405), (406), (407), (408), (409), (410),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (426), (430), (431), (435), (441), (442), (444),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (446), (448), (449), (450), (451), (452), (467),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (468), (469), (470), (471), (475), (479), (480),
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | (484), (535), (function-axioms) are inconsistent
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1421.
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | (536) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (165), (408), (517), (536), (function-axioms)
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1553.
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.35 | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.35 | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | End of split
% 197.03/32.35 | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | End of split
% 197.03/32.35 | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | End of split
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | End of split
% 197.03/32.35 | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | End of split
% 197.03/32.35 | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | End of split
% 197.03/32.35 | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | Case 2:
% 197.03/32.35 | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | (537) all_16_2 = e3
% 197.03/32.35 | | | | | | | | | | | | (538) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 197.03/32.35 | | | | | | | | | | | | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 197.03/32.35 | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0)))
% 197.03/32.35 | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | ALPHA: (538) implies:
% 197.03/32.35 | | | | | | | | | | | | (539) op(e3, e2) = all_16_1
% 197.03/32.35 | | | | | | | | | | | | (540) ~ (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 197.03/32.35 | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0))
% 197.03/32.35 | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | COMBINE_EQS: (345), (537) imply:
% 197.03/32.35 | | | | | | | | | | | | (541) all_6_2 = e3
% 197.03/32.35 | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | COMBINE_EQS: (349), (541) imply:
% 197.03/32.35 | | | | | | | | | | | | (542) all_38_2 = e3
% 197.03/32.35 | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | COMBINE_EQS: (354), (541) imply:
% 197.03/32.35 | | | | | | | | | | | | (543) all_56_13 = e3
% 197.03/32.35 | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | REDUCE: (374), (541) imply:
% 197.03/32.35 | | | | | | | | | | | | (544) ~ (all_52_4 = e3)
% 197.03/32.35 | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | REDUCE: (378), (541) imply:
% 197.03/32.35 | | | | | | | | | | | | (545) ~ (all_52_7 = e3)
% 197.03/32.35 | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | REDUCE: (382), (541) imply:
% 197.03/32.35 | | | | | | | | | | | | (546) ~ (all_52_13 = e3)
% 197.03/32.35 | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | BETA: splitting (88) gives:
% 197.03/32.35 | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | Case 1:
% 197.03/32.35 | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | (547) ~ (all_38_2 = e3)
% 197.03/32.35 | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | REDUCE: (542), (547) imply:
% 197.03/32.35 | | | | | | | | | | | | | (548) $false
% 197.03/32.35 | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | CLOSE: (548) is inconsistent.
% 197.03/32.35 | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | Case 2:
% 197.03/32.35 | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | (549) op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 197.03/32.35 | | | | | | | | | | | | | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0,
% 197.03/32.35 | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 197.03/32.35 | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | ALPHA: (549) implies:
% 197.03/32.35 | | | | | | | | | | | | | (550) op(e3, e2) = all_38_1
% 197.03/32.35 | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | BETA: splitting (246) gives:
% 197.03/32.35 | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | Case 1:
% 197.03/32.35 | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | (551) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 197.03/32.35 | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 197.03/32.35 | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | BETA: splitting (551) gives:
% 197.03/32.35 | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | Case 1:
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | (552) all_58_0 = e3 & op(e3, e3) = e3
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (552), (function-axioms) are
% 197.03/32.35 | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | Case 2:
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | (553) all_58_1 = e3 & op(e3, e2) = e3
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | ALPHA: (553) implies:
% 197.03/32.35 | | | | | | | | | | | | | | | (554) all_58_1 = e3
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (160),
% 197.03/32.35 | | | | | | | | | | | | | | | (164), (165), (219), (222), (223), (224), (225),
% 197.03/32.35 | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 197.03/32.35 | | | | | | | | | | | | | | | (241), (242), (243), (244), (408), (409), (410),
% 197.03/32.35 | | | | | | | | | | | | | | | (426), (451), (546), (554), (function-axioms) are
% 197.03/32.35 | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | End of split
% 197.03/32.35 | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | Case 2:
% 197.03/32.35 | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | (555) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 197.03/32.35 | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 197.03/32.35 | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | BETA: splitting (555) gives:
% 197.03/32.35 | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | Case 1:
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | (556) all_58_4 = e3 & op(e3, e1) = e3
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | ALPHA: (556) implies:
% 197.03/32.35 | | | | | | | | | | | | | | | (557) op(e3, e1) = e3
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | REF_CLOSE: (169), (407), (430), (435), (557),
% 197.03/32.35 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.03/32.35 | | | | | | | | | | | | | | | #1930.
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | Case 2:
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | (558) all_58_9 = e3 & op(e3, e0) = e3
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | ALPHA: (558) implies:
% 197.03/32.35 | | | | | | | | | | | | | | | (559) all_58_9 = e3
% 197.03/32.35 | | | | | | | | | | | | | | | (560) op(e3, e0) = e3
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 197.03/32.35 | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | Case 1:
% 197.03/32.35 | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | (561) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 197.03/32.35 | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 197.03/32.35 | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | BETA: splitting (561) gives:
% 197.03/32.35 | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.35 | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | (562) all_58_12 = e3 & op(e0, e3) = e3
% 197.03/32.35 | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | ALPHA: (562) implies:
% 197.03/32.35 | | | | | | | | | | | | | | | | | (563) all_58_12 = e3
% 197.03/32.35 | | | | | | | | | | | | | | | | | (564) op(e0, e3) = e3
% 197.03/32.35 | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 197.03/32.35 | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.35 | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | (565) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 197.03/32.35 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.03/32.35 | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | BETA: splitting (565) gives:
% 197.03/32.35 | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.35 | | | | | | | | | | | | | | | | | | |
% 197.03/32.35 | | | | | | | | | | | | | | | | | | | (566) all_58_2 = e3 & op(e2, e3) = e3
% 197.03/32.35 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | ALPHA: (566) implies:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (567) all_58_2 = e3
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (239), (241), (243),
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (563), (567), (function-axioms) are inconsistent
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | by sub-proof #1382.
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (568) all_58_3 = e3 & op(e2, e2) = e3
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | ALPHA: (568) implies:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (569) all_58_3 = e3
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (564) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (570) all_52_3 = e3
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (560) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (571) all_52_12 = e3
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | all_16_1, e2, e3, simplifying with (170), (539)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (572) all_52_4 = all_16_1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | all_38_1, e2, e3, simplifying with (170), (550)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (573) all_52_4 = all_38_1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (573) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (574) all_38_1 = all_16_1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (572) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (575) all_54_1 = all_16_1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (570) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (576) ~ (all_52_7 = e3)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | REDUCE: (139), (570) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (577) ~ (all_52_11 = e3)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | REDUCE: (136), (572) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (578) ~ (all_52_6 = all_16_1)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | SIMP: (578) implies:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (579) ~ (all_52_6 = all_16_1)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | REDUCE: (135), (572) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (580) ~ (all_52_7 = all_16_1)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | SIMP: (580) implies:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (581) ~ (all_52_7 = all_16_1)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | REDUCE: (442), (572) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (582) ~ (all_32_1 = all_16_1)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | SIMP: (582) implies:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (583) ~ (all_32_1 = all_16_1)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | REDUCE: (366), (572) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (584) ~ (all_16_1 = all_14_2)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | REDUCE: (544), (572) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (585) ~ (all_16_1 = e3)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | REDUCE: (113), (571) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (586) ~ (all_52_13 = e3)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | REDUCE: (112), (571) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (587) ~ (all_52_14 = e3)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | REDUCE: (448), (571) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (588) ~ (all_32_1 = e3)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (571) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (589) ~ (all_14_2 = e3)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | REDUCE: (392), (571) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | (590) ~ (all_10_2 = e3)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | (591) ~ (all_28_2 = e1)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (591) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | (592) ~ (all_14_2 = e1)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | (593) all_54_0 = e3
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (593) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | (594) all_14_2 = e3
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (594) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | (595) $false
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | CLOSE: (595) is inconsistent.
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | (596) ~ (all_54_0 = e3)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | (597) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | (598) all_54_0 = e2
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (598) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | (599) all_14_2 = e2
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (452), (599) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | (600) $false
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (600) is inconsistent.
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | (601) ~ (all_54_0 = e2)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | (602) all_54_0 = e1 | all_54_0 = e0
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (602) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | (603) all_54_0 = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (603) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | (604) all_14_2 = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (604) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | (605) $false
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (605) is inconsistent.
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | (606) all_54_0 = e0
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (606) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | (607) all_14_2 = e0
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (449), (607) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | (608) ~ (all_32_1 = e0)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (584), (607) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | (609) ~ (all_16_1 = e0)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (607) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | (610) ~ (e3 = e0)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (452), (607) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | (611) ~ (e2 = e0)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (607) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | (612) ~ (e1 = e0)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (607) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | (613) op(e3, e3) = e0
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | (614) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (614) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | (615) all_58_0 = e0 & op(e3, e3) = e0
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (615) implies:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | (616) all_58_0 = e0
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (617) ~ (all_30_2 = e2)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (617) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (618) ~ (all_10_2 = e2)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) all_54_15 = e3
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (451), (619) are inconsistent by sub-proof
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1381.
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) ~ (all_54_15 = e3)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (621) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) all_54_15 = e2
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (618), (622) are inconsistent by sub-proof
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1380.
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) ~ (all_54_15 = e2)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) all_54_15 = e1 | all_54_15 = e0
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (624) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) all_54_15 = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (625) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) all_10_2 = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (626) implies:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) all_10_2 = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (627) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) all_40_2 = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (627) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) all_46_2 = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (627) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) all_56_15 = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (451), (627) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) ~ (e3 = e1)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (618), (627) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) ~ (e2 = e1)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (627) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) op(e0, e0) = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) ~ (all_40_2 = e1)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (634) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) $false
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (635) is inconsistent.
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_40_0 & $i(all_40_0)))
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (636) implies:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) op(e1, e0) = all_40_1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) ~ (all_46_2 = e1)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (638) imply:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) $false
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (639) is inconsistent.
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) op(e1, e0) = all_46_1 & $i(all_46_1) & ( ~
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2,
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (640) implies:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) op(e1, e0) = all_46_1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (642) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) all_58_12 = e1 & op(e0, e3) = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (563), (643) are inconsistent by sub-proof
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1379.
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) all_58_13 = e1 & op(e0, e2) = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (644) implies:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) all_58_13 = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (242), (244),
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (430), (435), (559), (569), (613),
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646), (function-axioms) are inconsistent by
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1373.
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (647) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) all_58_7 = e0 & op(e1, e2) = e0
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (648) implies:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) all_58_7 = e0
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (650) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) all_58_6 = e1 & op(e1, e3) = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (651) implies:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) all_58_6 = e1
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (653) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) all_58_1 = e2 & op(e3, e2) = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (654) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) all_58_1 = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) all_58_15 = e0 & op(e0, e0) = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (656), (function-axioms) are
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (657) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (660) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) all_58_0 = e2 & op(e3, e3) = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (661) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) op(e3, e3) = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (613), (662), (function-axioms) are
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) all_58_2 = e2 & op(e2, e3) = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (663) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) all_58_2 = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (665) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) all_58_12 = e2 & op(e0, e3) = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (666) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) all_58_12 = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (563), (667) are inconsistent by sub-proof
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1405.
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) all_58_13 = e2 & op(e0, e2) = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (645), (668) are inconsistent by sub-proof
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1735.
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (669) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) all_58_14 = e2 & op(e0, e1) = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (670) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) all_58_14 = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (672) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) all_58_2 = e1 & op(e2, e3) = e1
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (673) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) all_58_2 = e1
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (674) imply:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) e2 = e1
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (675) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) e2 = e1
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (676) imply:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) all_58_14 = e1
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (218), (242),
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (407), (430), (435), (559), (563),
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613), (633), (658), (677), (function-axioms) are
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1368.
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (678) all_58_3 = e1 & op(e2, e2) = e1
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (569), (678) are inconsistent by sub-proof
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1367.
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (679) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680) all_58_5 = e1 & op(e2, e1) = e1
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (680) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) all_58_5 = e1
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (682) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) all_58_4 = e0 & op(e3, e1) = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (683) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) op(e3, e1) = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (608), (684), (function-axioms) are
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1905.
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) all_58_5 = e0 & op(e2, e1) = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (685) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (686) all_58_5 = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (686) imply:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687) e1 = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (224), (225), (426),
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649), (652), (687) are inconsistent by sub-proof
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1366.
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (688) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (689) all_58_8 = e0 & op(e1, e1) = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (242), (244),
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (426), (430), (435), (559), (613),
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (689), (function-axioms) are inconsistent by
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1365.
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690) all_58_14 = e0 & op(e0, e1) = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (690) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (691) all_58_14 = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (691) imply:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692) e2 = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (559),
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613), (655), (692), (function-axioms) are
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1364.
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) all_58_10 = e1 & op(e2, e0) = e1
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (693) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (694) all_58_10 = e1
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (695) op(e2, e0) = e1
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (696) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697) all_58_4 = e0 & op(e3, e1) = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (697) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698) op(e3, e1) = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (608), (698), (function-axioms) are
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1905.
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699) all_58_5 = e0 & op(e2, e1) = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (699) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (700) all_58_5 = e0
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (701) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702) all_58_9 = e2 & op(e3, e0) = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (702) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (703) all_58_9 = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (160), (222), (410), (633), (694),
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (703), (function-axioms) are inconsistent by
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1862.
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (704) all_58_10 = e2 & op(e2, e0) = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (704) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (705) all_58_10 = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (224), (225),
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (246), (407), (426), (430), (435),
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559), (613), (649), (655), (659), (705),
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1362.
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (706) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (706) gives:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) all_58_11 = e2 & op(e1, e0) = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (707) implies:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) all_58_11 = e2
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (224), (232),
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (242), (244), (408), (426), (559),
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563), (569), (613), (645), (649), (652), (655),
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658), (671), (695), (700), (708),
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1359.
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) all_58_15 = e2 & op(e0, e0) = e2
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (709) implies:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) op(e0, e0) = e2
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (165), (169),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (222), (223), (224), (225),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (235), (242), (243), (244), (245),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (410), (426), (430), (435), (436),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440), (559), (563), (569), (613), (616), (652),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659), (710), (function-axioms) are inconsistent
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1350.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (711) gives:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712) all_58_8 = e0 & op(e1, e1) = e0
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (242), (244),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (426), (430), (435), (559), (613),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712), (function-axioms) are inconsistent by
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1357.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713) all_58_14 = e0 & op(e0, e1) = e0
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (713) implies:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714) all_58_14 = e0
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (714) imply:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715) e2 = e0
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (559),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613), (655), (715), (function-axioms) are
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1364.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (716) all_58_15 = e2 & op(e0, e0) = e2
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (716) implies:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717) op(e0, e0) = e2
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (165), (169),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (222), (223), (224), (225),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (235), (242), (243), (244), (245),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (410), (426), (430), (435), (436),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440), (559), (563), (569), (613), (616), (652),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659), (717), (function-axioms) are inconsistent
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1350.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (563), (652), (718) are inconsistent by
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1349.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719) all_58_3 = e2 & op(e2, e2) = e2
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (569), (719) are inconsistent by sub-proof
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1348.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (645), (649), (720) are inconsistent by
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1347.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721) all_58_7 = e1 & op(e1, e2) = e1
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (721) implies:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (722) all_58_7 = e1
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (649), (722) are inconsistent by sub-proof
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1830.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (723) gives:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724) all_58_8 = e1 & op(e1, e1) = e1
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (426), (724) are inconsistent by sub-proof
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1894.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (725) all_58_11 = e1 & op(e1, e0) = e1
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (725) implies:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (726) all_58_11 = e1
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (727) gives:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) all_58_9 = e2 & op(e3, e0) = e2
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (559), (728) are inconsistent by sub-proof
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1565.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) all_58_10 = e2 & op(e2, e0) = e2
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (729) implies:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) all_58_10 = e2
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (731) gives:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) all_58_1 = e2 & op(e3, e2) = e2
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (732) implies:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) all_58_1 = e2
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) all_58_15 = e0 & op(e0, e0) = e0
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (734), (function-axioms) are
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (735) implies:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (224), (225),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (246), (407), (426), (430), (435),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559), (613), (649), (730), (733), (736),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1362.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) all_58_3 = e2 & op(e2, e2) = e2
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (569), (737) are inconsistent by sub-proof
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1348.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (645), (649), (738) are inconsistent by
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1347.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (633), (726), (739), (function-axioms) are
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) all_58_13 = e0 & op(e0, e2) = e0
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (645), (740) are inconsistent by sub-proof
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1345.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (741) gives:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) all_58_14 = e1 & op(e0, e1) = e1
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (742) implies:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) all_58_14 = e1
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) all_58_15 = e0 & op(e0, e0) = e0
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (744), (function-axioms) are
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (745) implies:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (218), (242),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (407), (430), (435), (559), (563),
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613), (633), (743), (746), (function-axioms) are
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1368.
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) all_58_15 = e1 & op(e0, e0) = e1
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_1, e0, e1, simplifying with (160), (637)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) all_52_14 = all_40_1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_1, e0, e1, simplifying with (160), (641)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) all_52_14 = all_46_1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (749) imply:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) all_46_1 = all_40_1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (750) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) all_46_1 = all_40_1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (410), (748) imply:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) ~ (all_40_1 = e3)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) all_58_15 = e0 & op(e0, e0) = e0
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (753), (function-axioms) are
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (754) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (756) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) all_58_0 = e1 & op(e3, e3) = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (757) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) op(e3, e3) = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (613), (758), (function-axioms) are
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) all_58_1 = e1 & op(e3, e2) = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (759) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) all_58_1 = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) op(e3, e2) = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (162), (165),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (218), (221), (222), (224), (227), (228),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (235), (241), (242), (243),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (407), (410), (426), (430), (435),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (436), (440), (539), (540), (559), (563), (569),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (608), (613), (633), (755), (760), (761),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1336.
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (762) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) all_58_4 = e1 & op(e3, e1) = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (763) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) all_58_4 = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) op(e3, e1) = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (766) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) all_58_0 = e2 & op(e3, e3) = e2
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (767) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) op(e3, e3) = e2
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (613), (768), (function-axioms) are
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) all_58_1 = e2 & op(e3, e2) = e2
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (769) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) all_58_1 = e2
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) op(e3, e2) = e2
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (772) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) all_58_1 = e1 & op(e3, e2) = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (773) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) all_58_1 = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) op(e3, e2) = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (162), (165),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (218), (221), (222), (224), (227), (228),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (235), (241), (242), (243),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (407), (410), (426), (430), (435),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (436), (440), (539), (540), (559), (563), (569),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (608), (613), (633), (755), (774), (775),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1336.
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) all_58_3 = e1 & op(e2, e2) = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (569), (776) are inconsistent by sub-proof
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1367.
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (777) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) all_58_7 = e1 & op(e1, e2) = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (778) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) all_58_7 = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) op(e1, e2) = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (162),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (169), (214), (218), (221), (222),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (231), (232), (234), (235),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (244), (246), (404), (407),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (410), (426), (430), (435), (450), (539),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559), (563), (569), (583), (585), (609), (613),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630), (633), (637), (752), (765), (770), (771),
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779), (780), (function-axioms) are inconsistent
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1328.
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) all_58_13 = e1 & op(e0, e2) = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (781) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) all_58_13 = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (563), (782), (783) are inconsistent by
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1327.
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (784) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) all_58_14 = e2 & op(e0, e1) = e2
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (785) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) all_58_14 = e2
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (787) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) all_58_4 = e0 & op(e3, e1) = e0
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (788) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) op(e3, e1) = e0
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (608), (789), (function-axioms) are
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1905.
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) all_58_5 = e0 & op(e2, e1) = e0
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (790) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) all_58_5 = e0
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (792) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_58_2 = e1 & op(e2, e3) = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (793) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) all_58_2 = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (613), (794), (795), (function-axioms)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1326.
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (796) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) all_58_6 = e2 & op(e1, e3) = e2
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (797) implies:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_58_6 = e2
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (799) gives:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) all_58_6 = e1 & op(e1, e3) = e1
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (798), (800) are inconsistent by sub-proof
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1763.
% 197.03/32.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) all_58_7 = e1 & op(e1, e2) = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (801) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) all_58_7 = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) op(e1, e2) = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (162),
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (169), (214), (218), (221), (222),
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (231), (232), (234), (235),
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (244), (246), (404), (407),
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (410), (426), (430), (435), (450), (539),
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559), (563), (569), (583), (585), (609), (613),
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630), (633), (637), (752), (765), (770), (771),
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802), (803), (function-axioms) are inconsistent
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1328.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (804) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) all_58_8 = e1 & op(e1, e1) = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (426), (805) are inconsistent by sub-proof
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1894.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) all_58_11 = e1 & op(e1, e0) = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (806) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) all_58_11 = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (808) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) all_58_9 = e2 & op(e3, e0) = e2
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (559), (809) are inconsistent by sub-proof
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1565.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) all_58_10 = e2 & op(e2, e0) = e2
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (810) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) all_58_10 = e2
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (812) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) all_58_1 = e0 & op(e3, e2) = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (813) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) all_58_1 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (559),
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613), (814), (function-axioms) are inconsistent
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1375.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) all_58_3 = e0 & op(e2, e2) = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (815) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) all_58_3 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (165), (234), (408), (794), (811),
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816), (function-axioms) are inconsistent by
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1454.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (817) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) all_58_7 = e0 & op(e1, e2) = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (818) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) all_58_7 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (755) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) all_58_12 = e0 & op(e0, e3) = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (820) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) all_58_12 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (821) imply:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) e3 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (822) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) e3 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (823) imply:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) all_58_3 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (165), (234), (408), (794), (811),
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824), (function-axioms) are inconsistent by
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1454.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (825) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) all_58_13 = e0 & op(e0, e2) = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (826) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_58_13 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (782), (827) imply:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) e1 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (828) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) e1 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (807), (829) imply:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) all_58_11 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (224), (426), (798), (819), (830)
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1829.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) all_58_14 = e0 & op(e0, e1) = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (831) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) all_58_14 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (832) imply:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) e2 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (559),
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613), (770), (833), (function-axioms) are
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1364.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) all_58_13 = e0 & op(e0, e2) = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (834) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) all_58_13 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (782), (835) are inconsistent by sub-proof
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1325.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (633), (807), (836), (function-axioms) are
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) all_58_12 = e2 & op(e0, e3) = e2
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (563), (837) are inconsistent by sub-proof
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) all_58_3 = e1 & op(e2, e2) = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (569), (838) are inconsistent by sub-proof
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1367.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (839) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (840) all_58_5 = e1 & op(e2, e1) = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (840) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841) all_58_5 = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (791), (841) are inconsistent by sub-proof
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1592.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842) all_58_10 = e1 & op(e2, e0) = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (842) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (843) all_58_10 = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844) op(e2, e0) = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (845) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (160), (222), (410), (633), (843),
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844), (845), (function-axioms) are inconsistent
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1438.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (846) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (846) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (847) all_58_11 = e2 & op(e1, e0) = e2
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (847) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (848) all_58_11 = e2
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (849) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (850) all_58_6 = e0 & op(e1, e3) = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (850) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (851) all_58_6 = e0
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (852) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (853) all_58_6 = e1 & op(e1, e3) = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (853) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854) all_58_6 = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (851), (854) are inconsistent by sub-proof
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1324.
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (855) all_58_7 = e1 & op(e1, e2) = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (855) implies:
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856) all_58_7 = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (857) op(e1, e2) = e1
% 197.03/32.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (162),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (169), (214), (218), (221), (222),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (231), (232), (234), (235),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (244), (246), (404), (407),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (410), (426), (430), (435), (450), (539),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559), (563), (569), (583), (585), (609), (613),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630), (633), (637), (752), (765), (770), (771),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856), (857), (function-axioms) are inconsistent
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1328.
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (858) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (858) gives:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (859) all_58_8 = e1 & op(e1, e1) = e1
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (426), (859) are inconsistent by sub-proof
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1894.
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (860) all_58_11 = e1 & op(e1, e0) = e1
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (848), (860) are inconsistent by sub-proof
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1354.
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (861) all_58_7 = e0 & op(e1, e2) = e0
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (861) implies:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (862) all_58_7 = e0
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (863) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (863) gives:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (864) all_58_6 = e1 & op(e1, e3) = e1
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (864) implies:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (865) all_58_6 = e1
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (224), (232),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (242), (244), (408), (426), (559),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563), (569), (613), (755), (770), (782), (786),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791), (844), (848), (862), (865),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1359.
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (866) all_58_7 = e1 & op(e1, e2) = e1
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (866) implies:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (867) all_58_7 = e1
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (868) op(e1, e2) = e1
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (162),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (169), (214), (218), (221), (222),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (231), (232), (234), (235),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (244), (246), (404), (407),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (410), (426), (430), (435), (450), (539),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559), (563), (569), (583), (585), (609), (613),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630), (633), (637), (752), (765), (770), (771),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (867), (868), (function-axioms) are inconsistent
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1328.
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (869) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (869) gives:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (870) all_58_8 = e1 & op(e1, e1) = e1
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (426), (870) are inconsistent by sub-proof
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1894.
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (871) all_58_11 = e1 & op(e1, e0) = e1
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (848), (871) are inconsistent by sub-proof
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1354.
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (872) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (872) gives:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (873) all_58_8 = e0 & op(e1, e1) = e0
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (873) implies:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (874) all_58_8 = e0
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (874) imply:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (875) e3 = e0
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (232), (233),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (408), (569), (791), (844), (875),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1361.
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (876) all_58_11 = e0 & op(e1, e0) = e0
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (876) implies:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (877) all_58_11 = e0
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (160), (221), (222), (410),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633), (843), (844), (877), (function-axioms) are
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1437.
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (878) all_58_15 = e2 & op(e0, e0) = e2
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (878) implies:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (879) op(e0, e0) = e2
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (633), (879), (function-axioms) are
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (880) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (880) gives:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (881) all_58_8 = e0 & op(e1, e1) = e0
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (242), (244),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (426), (430), (435), (559), (613),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (881), (function-axioms) are inconsistent by
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1357.
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (882) all_58_14 = e0 & op(e0, e1) = e0
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (882) implies:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (883) all_58_14 = e0
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (883) imply:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884) e2 = e0
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (770), (884) imply:
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (885) all_58_1 = e0
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (559),
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613), (885), (function-axioms) are inconsistent
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1375.
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.03/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (886) all_58_15 = e2 & op(e0, e0) = e2
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (886) implies:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887) op(e0, e0) = e2
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (633), (887), (function-axioms) are
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (888) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (888) gives:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (889) all_58_4 = e2 & op(e3, e1) = e2
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (889) implies:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (890) all_58_4 = e2
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (764), (890) are inconsistent by sub-proof
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1647.
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (891) all_58_9 = e2 & op(e3, e0) = e2
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (559), (891) are inconsistent by sub-proof
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1565.
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (892) all_58_9 = e1 & op(e3, e0) = e1
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (559), (892) are inconsistent by sub-proof
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1762.
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (893) all_54_15 = e0
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (358), (893) are inconsistent by sub-proof
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1323.
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (894) all_30_2 = e2
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (895) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0)))
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (895) implies:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (896) op(e2, e0) = all_30_1
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (894) imply:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (897) all_10_2 = e2
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (897) imply:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (898) all_42_2 = e2
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (897) imply:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (899) all_56_15 = e2
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (897) imply:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (900) ~ (all_52_13 = e2)
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (451), (897) imply:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (901) ~ (e3 = e2)
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (897) imply:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (902) op(e0, e0) = e2
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (903) ~ (all_42_2 = e2)
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (898), (903) imply:
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (904) $false
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (904) is inconsistent.
% 197.31/32.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (905) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (905) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (906) op(e2, e0) = all_42_1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (907) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (907) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (908) all_58_9 = e2 & op(e3, e0) = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (559), (908) are inconsistent by sub-proof
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1565.
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (909) all_58_10 = e2 & op(e2, e0) = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (909) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (910) op(e2, e0) = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (896), (900), (906), (910),
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1425.
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (911) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (911) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (912) all_58_11 = e2 & op(e1, e0) = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (912) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (913) all_58_11 = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (169), (216),
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (242), (244), (246), (358), (407), (430),
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435), (559), (613), (902), (913),
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1322.
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (914) all_58_15 = e2 & op(e0, e0) = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (914) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (915) all_58_15 = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (896)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (916) all_52_13 = all_30_1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (906)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (917) all_52_13 = all_42_1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (916), (917) imply:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (918) all_42_1 = all_30_1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (918) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (919) all_42_1 = all_30_1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (916) imply:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920) ~ (all_30_1 = e3)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (921) all_58_15 = e0 & op(e0, e0) = e0
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (921), (function-axioms) are
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (922) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (924) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) all_58_0 = e1 & op(e3, e3) = e1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (925) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) op(e3, e3) = e1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (613), (926), (function-axioms) are
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) all_58_2 = e1 & op(e2, e3) = e1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (927) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) all_58_2 = e1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (613), (928), (929), (function-axioms)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1326.
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (930) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (931) all_58_6 = e2 & op(e1, e3) = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (931) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (932) all_58_6 = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (933) op(e1, e3) = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (934) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (934) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (935) all_58_2 = e2 & op(e2, e3) = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (935) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (936) all_58_2 = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (928), (936) imply:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) e2 = e1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (165), (169),
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (222), (223), (224), (225),
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (235), (242), (243), (244), (245),
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (410), (426), (430), (435), (436),
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440), (559), (563), (569), (613), (616), (902),
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923), (932), (937), (function-axioms) are
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1321.
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) all_58_3 = e2 & op(e2, e2) = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (569), (938) are inconsistent by sub-proof
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1348.
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (939) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) all_58_5 = e2 & op(e2, e1) = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (940) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941) all_58_5 = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (942) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (942) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (943) all_58_4 = e0 & op(e3, e1) = e0
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (943) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (944) op(e3, e1) = e0
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (608), (944), (function-axioms) are
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1905.
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (945) all_58_5 = e0 & op(e2, e1) = e0
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (941), (945) are inconsistent by sub-proof
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1320.
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (946) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (946) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947) all_58_8 = e0 & op(e1, e1) = e0
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (242), (244),
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (426), (430), (435), (559), (613),
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947), (function-axioms) are inconsistent by
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1357.
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (948) all_58_14 = e0 & op(e0, e1) = e0
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (948) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949) all_58_14 = e0
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) op(e0, e1) = e0
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (951) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) all_58_12 = e1 & op(e0, e3) = e1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (563), (952) are inconsistent by sub-proof
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1379.
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) all_58_13 = e1 & op(e0, e2) = e1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (953) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) all_58_13 = e1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) op(e0, e2) = e1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (956) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) all_58_4 = e1 & op(e3, e1) = e1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (957) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) all_58_4 = e1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) op(e3, e1) = e1
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (960) gives:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) all_58_0 = e2 & op(e3, e3) = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (961) implies:
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) op(e3, e3) = e2
% 197.31/32.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (613), (962), (function-axioms) are
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) all_58_1 = e2 & op(e3, e2) = e2
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (963) implies:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) all_58_1 = e2
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) op(e3, e2) = e2
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (966) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) all_58_2 = e0 & op(e2, e3) = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (967) implies:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) all_58_2 = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (928), (968) imply:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) e1 = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (958), (969) imply:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) all_58_4 = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (228), (229), (426),
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949), (970) are inconsistent by sub-proof #1892.
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) all_58_3 = e0 & op(e2, e2) = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (242), (244),
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (430), (435), (559), (569), (613),
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971), (function-axioms) are inconsistent by
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1374.
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (972) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973) all_58_5 = e0 & op(e2, e1) = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (973) implies:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (974) all_58_5 = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (941), (974) imply:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (975) e2 = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (964), (975) imply:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976) all_58_1 = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (559),
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613), (976), (function-axioms) are inconsistent
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1375.
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (977) all_58_10 = e0 & op(e2, e0) = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (977) implies:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (978) op(e2, e0) = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (979) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (242), (244),
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (430), (435), (559), (569), (613),
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (979), (function-axioms) are inconsistent by
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1373.
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (980) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (980) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981) all_58_7 = e0 & op(e1, e2) = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (981) implies:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (982) op(e1, e2) = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (950) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (983) all_52_11 = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (955) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (984) all_52_7 = e1
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (982) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (985) all_52_6 = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (933) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (986) all_52_2 = e2
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_30_1, e0,
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (896), (978) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (987) all_30_1 = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1, e1,
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (430), (959) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (988) all_32_1 = e1
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1, e2,
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (539), (965) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (989) all_16_1 = e2
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (988), (989) imply:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (990) ~ (e2 = e1)
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (450), (988) imply:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (991) ~ (e3 = e1)
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (992) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (992) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (993) implies:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (994) op(e0, e2) = all_56_10
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (995) op(e1, e2) = all_56_7
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (996) all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0) =
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 & $i(all_56_8))
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (997) all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) =
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 & $i(all_56_6))
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (998) ~ (all_56_15 = e2) | all_56_10 = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (998) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (999) ~ (all_56_15 = e2)
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (899), (999) imply:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1000) $false
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1000) is inconsistent.
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1001) all_56_10 = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (994), (1001) imply:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1002) op(e0, e2) = e0
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (997) gives:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1003) all_56_7 = e3
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (995), (1003) imply:
% 197.31/32.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1004) op(e1, e2) = e3
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (996) gives:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1005) all_56_7 = e0
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1003), (1005) imply:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1006) e3 = e0
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1006) imply:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1007) all_58_9 = e0
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (242), (244),
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (430), (435), (613), (1007),
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1909.
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1008) ~ (all_56_7 = e0)
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e0, e2,
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (955), (1002) gives:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1009) e1 = e0
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e2,
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (982), (1004) gives:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1010) e3 = e0
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (1010) imply:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1011) all_58_3 = e0
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (928), (1009) imply:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012) all_58_2 = e0
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (228), (229),
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (408), (426), (949), (1011),
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012), (function-axioms) are inconsistent by
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1569.
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013) ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6)
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1013) implies:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1014) ~ (all_56_6 = e2)
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1015) op(e1, e3) = all_56_6
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (933), (1014), (1015), (function-axioms) are
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1740.
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1016) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (157), (219), (242),
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (409), (559), (563), (613), (915), (950),
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954), (955), (964), (1016), (function-axioms) are
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1319.
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1017) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1017) gives:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1018) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1018) implies:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1019) all_56_15 = e1 | ( ~ (all_56_11 = e0) & op(e0, e1)
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1019) gives:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) all_56_15 = e1
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (899), (1020) imply:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) e2 = e1
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (932), (1021) imply:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) all_58_6 = e1
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (165), (169),
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (222), (223), (224), (225),
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (235), (242), (243), (244), (245),
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (410), (426), (430), (435), (436),
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440), (559), (563), (569), (613), (616), (902),
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923), (1022), (function-axioms) are inconsistent
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1350.
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) ~ (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1023) implies:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) ~ (all_56_11 = e0)
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) op(e0, e1) = all_56_11
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (950), (1024), (1025), (function-axioms) are
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1318.
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1026) implies:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) op(e1, e3) = all_56_6
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) =
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) ~ (all_56_14 = e3) | all_56_6 = e1
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1029) gives:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) ~ (all_56_14 = e3)
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (404), (1030) imply:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) $false
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1031) is inconsistent.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) all_56_6 = e1
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1028) gives:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) all_56_6 = e2
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1032), (1033) imply:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) e2 = e1
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (165), (169),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (222), (223), (224), (225),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (235), (242), (243), (244), (245),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (410), (426), (430), (435), (436),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440), (559), (563), (569), (613), (616), (902),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923), (932), (1034), (function-axioms) are
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1321.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) ~ (all_56_6 = e2)
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (933), (1027), (1035), (function-axioms) are
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) all_58_13 = e0 & op(e0, e2) = e0
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1036) implies:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) all_58_13 = e0
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (954), (1037) imply:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) e1 = e0
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1038) implies:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) e1 = e0
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (958), (1039) imply:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) all_58_4 = e0
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (228), (229), (426),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949), (1040) are inconsistent by sub-proof #1892.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1041) gives:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) all_58_4 = e2 & op(e3, e1) = e2
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1042) implies:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) all_58_4 = e2
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (958), (1043) imply:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) e2 = e1
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (165), (169),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (222), (223), (224), (225),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (235), (242), (243), (244), (245),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (410), (426), (430), (435), (436),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440), (559), (563), (569), (613), (616), (902),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923), (932), (1044), (function-axioms) are
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1321.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) all_58_9 = e2 & op(e3, e0) = e2
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1045) implies:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) all_58_9 = e2
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1046) imply:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) e3 = e2
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (1047) imply:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) all_58_12 = e2
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (157), (219), (409), (915), (954),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048), (function-axioms) are inconsistent by
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1732.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) all_58_5 = e1 & op(e2, e1) = e1
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1049) implies:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) all_58_5 = e1
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (941), (1050) imply:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) e2 = e1
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (932), (1051) imply:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) all_58_6 = e1
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (165), (169),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (222), (223), (224), (225),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (235), (242), (243), (244), (245),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (410), (426), (430), (435), (436),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440), (559), (563), (569), (613), (616), (902),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923), (1052), (function-axioms) are inconsistent
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1350.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (426), (949), (1053) are inconsistent by
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1815.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (902), (949), (1054), (function-axioms)
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1317.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) all_58_10 = e2 & op(e2, e0) = e2
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1055) implies:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) op(e2, e0) = e2
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (896), (900), (906), (1056),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1425.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) all_58_12 = e2 & op(e0, e3) = e2
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (563), (1057) are inconsistent by sub-proof
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1058) gives:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) all_58_6 = e1 & op(e1, e3) = e1
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1059) implies:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) all_58_6 = e1
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (165), (169),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (222), (223), (224), (225),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (235), (242), (243), (244), (245),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (410), (426), (430), (435), (436),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440), (559), (563), (569), (613), (616), (902),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923), (1060), (function-axioms) are inconsistent
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1350.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) all_58_12 = e1 & op(e0, e3) = e1
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (563), (1061) are inconsistent by sub-proof
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1379.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | (1062) all_58_1 = e0 & op(e3, e2) = e0
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1062) implies:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | (1063) all_58_1 = e0
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (559),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | (613), (1063), (function-axioms) are inconsistent
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1375.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | (1064) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (242), (244),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | (246), (407), (430), (435), (608), (613), (1064),
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | | #1316.
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | (1065) all_28_2 = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | (1066) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0)))
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | ALPHA: (1066) implies:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | (1067) op(e1, e3) = all_28_1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | (1068) ~ (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0))
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (1065) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | (1069) all_14_2 = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (1069) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | (1070) all_36_2 = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (1069) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | (1071) all_56_12 = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (1069) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | (1072) ~ (all_52_2 = e1)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (584), (1069) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | (1073) ~ (all_16_1 = e1)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (1069) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | (1074) ~ (e3 = e1)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (452), (1069) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | (1075) ~ (e2 = e1)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (1069) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | (1076) op(e3, e3) = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1077) ~ (all_36_2 = e1)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (1077) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1078) $false
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1078) is inconsistent.
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1079) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1079) implies:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1080) op(e1, e3) = all_36_1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | all_28_1, e3, e1, simplifying with (163), (1067)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1081) all_52_2 = all_28_1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | all_36_1, e3, e1, simplifying with (163), (1080)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1082) all_52_2 = all_36_1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1081), (1082) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1083) all_36_1 = all_28_1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | SIMP: (1083) implies:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1084) all_36_1 = all_28_1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (1081) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1085) all_54_8 = all_28_1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1081) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1086) ~ (all_52_6 = all_28_1)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | SIMP: (1086) implies:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1087) ~ (all_52_6 = all_28_1)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1081) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1088) ~ (all_52_14 = all_28_1)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | SIMP: (1088) implies:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1089) ~ (all_52_14 = all_28_1)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (405), (1081) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1090) ~ (all_28_1 = e3)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1072), (1081) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | (1091) ~ (all_28_1 = e1)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | (1092) ~ (all_30_2 = e2)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (1092) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | (1093) ~ (all_10_2 = e2)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | (1094) all_54_15 = e3
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (1094) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | (1095) all_10_2 = e3
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (451), (1095) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | (1096) $false
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1096) is inconsistent.
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | (1097) ~ (all_54_15 = e3)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | (1098) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1098) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | (1099) all_54_15 = e2
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (1099) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | (1100) all_10_2 = e2
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1093), (1100) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | (1101) $false
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1101) is inconsistent.
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | (1102) ~ (all_54_15 = e2)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | (1103) all_54_15 = e1 | all_54_15 = e0
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1103) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | (1104) all_54_15 = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (1104) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | (1105) all_10_2 = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (1105) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | (1106) all_56_15 = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1105) imply:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | (1107) op(e0, e0) = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (1108) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1108) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) all_58_6 = e1 & op(e1, e3) = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1109) implies:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) all_58_6 = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (239), (243), (563),
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076), (1110), (function-axioms) are inconsistent
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1314.
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) all_58_7 = e1 & op(e1, e2) = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1111) implies:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) all_58_7 = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) op(e1, e2) = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1114) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) all_58_2 = e1 & op(e2, e3) = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1115) implies:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) all_58_2 = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1117) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) all_58_4 = e1 & op(e3, e1) = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1118) implies:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) all_58_4 = e1
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1120) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) all_58_0 = e2 & op(e3, e3) = e2
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1121) implies:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) op(e3, e3) = e2
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1076), (1122), (function-axioms) are
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) all_58_2 = e2 & op(e2, e3) = e2
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1116), (1123) are inconsistent by sub-proof
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1527.
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1124) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) all_58_6 = e2 & op(e1, e3) = e2
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1125) implies:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) all_58_6 = e2
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1127) gives:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) all_58_0 = e0 & op(e3, e3) = e0
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1128) implies:
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) op(e3, e3) = e0
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1076), (1129), (function-axioms) are
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 197.31/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) all_58_2 = e0 & op(e2, e3) = e0
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1130) implies:
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) all_58_2 = e0
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1116), (1131) are inconsistent by sub-proof
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1419.
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1132) gives:
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) all_58_6 = e0 & op(e1, e3) = e0
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1133) implies:
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) all_58_6 = e0
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1126), (1134) are inconsistent by sub-proof
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1642.
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) all_58_12 = e0 & op(e0, e3) = e0
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1135) implies:
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) all_58_12 = e0
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (1136) imply:
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) e3 = e0
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1137) implies:
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) e3 = e0
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (1138) imply:
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) all_58_3 = e0
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (223), (224),
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (236), (237), (238), (240), (244), (246),
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (426), (430), (435), (1076), (1119),
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139), (function-axioms) are inconsistent by
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1604.
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) all_58_12 = e2 & op(e0, e3) = e2
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (563), (1140) are inconsistent by sub-proof
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_58_5 = e1 & op(e2, e1) = e1
% 197.53/32.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (214),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (221), (222), (223), (224), (225), (235),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (404), (410), (426), (543), (559), (560),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564), (569), (1067), (1091), (1106), (1107),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112), (1113), (1141), (function-axioms) are
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1305.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (218),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (426), (563), (1107), (1142),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1302.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) all_58_3 = e1 & op(e2, e2) = e1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (569), (1143) are inconsistent by sub-proof
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1367.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1144) gives:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) all_58_5 = e1 & op(e2, e1) = e1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (214),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (221), (222), (223), (224), (225), (235),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (404), (410), (426), (543), (559), (560),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564), (569), (1067), (1091), (1106), (1107),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112), (1113), (1145), (function-axioms) are
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1305.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) all_58_10 = e1 & op(e2, e0) = e1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1146) implies:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) all_58_10 = e1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1148) op(e2, e0) = e1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1149) gives:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) all_58_4 = e1 & op(e3, e1) = e1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1150) implies:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1151) all_58_4 = e1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1152) all_58_15 = e0 & op(e0, e0) = e0
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (1152), (function-axioms) are
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1153) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1153) implies:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1154) gives:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1155) all_58_9 = e0 & op(e3, e0) = e0
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1155) implies:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156) all_58_9 = e0
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (169), (244), (246),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (430), (435), (1076), (1151), (1156),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1605.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1157) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (160), (221), (222),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410), (1107), (1147), (1148), (1157),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1301.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1158) all_58_5 = e1 & op(e2, e1) = e1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1158) implies:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1159) all_58_5 = e1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1160) all_58_15 = e0 & op(e0, e0) = e0
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (1160), (function-axioms) are
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1161) implies:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1162) gives:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) all_58_9 = e0 & op(e3, e0) = e0
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1163) implies:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) all_58_9 = e0
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1164) imply:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) e3 = e0
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1165) implies:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) e3 = e0
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (1166) imply:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) all_58_3 = e0
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (165), (233), (234),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (1147), (1148), (1159), (1167),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1536.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (160), (221), (222),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410), (1107), (1147), (1148), (1168),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1301.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (218),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (426), (563), (1107), (1169),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1302.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1170) gives:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) all_58_8 = e1 & op(e1, e1) = e1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (426), (1171) are inconsistent by sub-proof
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1894.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) all_58_11 = e1 & op(e1, e0) = e1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1172) implies:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1173) all_58_11 = e1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (45), (216), (221),
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (559), (1107), (1173), (function-axioms)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1296.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | (1174) all_54_15 = e0
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (1174) imply:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | (1175) all_10_2 = e0
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (1175) imply:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | (1176) $false
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1176) is inconsistent.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | (1177) all_30_2 = e2
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | (1178) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0)))
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1178) implies:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | (1179) op(e2, e0) = all_30_1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (1177) imply:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | (1180) all_10_2 = e2
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1180) implies:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | (1181) all_10_2 = e2
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (1181) imply:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | (1182) all_42_2 = e2
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (1181) imply:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | (1183) all_56_15 = e2
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (1181) imply:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | (1184) ~ (all_52_7 = e2)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (391), (1181) imply:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | (1185) ~ (all_52_11 = e2)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (1181) imply:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | (1186) ~ (all_52_13 = e2)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (1181) imply:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | (1187) ~ (all_52_14 = e2)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (451), (1181) imply:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | (1188) ~ (e3 = e2)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1181) imply:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | (1189) op(e0, e0) = e2
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | (1190) ~ (all_42_2 = e2)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1182), (1190) imply:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | (1191) $false
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1191) is inconsistent.
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | (1192) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1192) implies:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | (1193) op(e2, e0) = all_42_1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (1179)
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | (1194) all_52_13 = all_30_1
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 197.53/32.47 | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (1193)
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | (1195) all_52_13 = all_42_1
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1194), (1195) imply:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | (1196) all_42_1 = all_30_1
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1196) implies:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | (1197) all_42_1 = all_30_1
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (1194) imply:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | (1198) ~ (all_30_1 = e3)
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | (1199) all_54_2 = e3
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (450), (1199) are inconsistent by sub-proof
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | #1879.
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1201) all_54_11 = e3
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (410), (1201) are inconsistent by sub-proof
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | #1295.
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1202) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_54_13 = e3
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (545), (1203) are inconsistent by sub-proof
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | #1294.
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) ~ (all_54_13 = e3)
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) all_54_1 = e3
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (1206) imply:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) all_16_1 = e3
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (1207) imply:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) $false
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1208) is inconsistent.
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) all_54_8 = e3
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1085), (1090), (1210) are inconsistent by
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1475.
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) all_54_14 = e3
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (409), (1212) are inconsistent by sub-proof
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1498.
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) ~ (all_54_14 = e3)
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1215) gives:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1216) implies:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) op(e0, e2) = all_56_10
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2, e1)
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_4 & $i(all_56_4))
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) all_56_10 = e1 | ( ~ (all_56_11 = e2) & op(e0, e1)
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) ~ (all_56_15 = e2) | all_56_10 = e0
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (118), (125), (157), (158), (165),
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (255), (270), (408), (430), (436), (440),
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441), (444), (446), (543), (1183), (1200),
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214), (1217), (1218), (1219), (1220),
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1292.
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1221) implies:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) op(e3, e1) = all_56_1
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) ~ (all_56_12 = e1) | all_56_1 = e3
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (407), (430), (435), (1071), (1222),
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223), (function-axioms) are inconsistent by
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1426.
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1224) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1225) implies:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) op(e2, e0) = all_56_5
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) all_56_15 = e1 | ( ~ (all_56_11 = e0) & op(e0, e1)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) =
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 & $i(all_56_3))
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) ~ (all_56_13 = e0) | all_56_5 = e2
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1227) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_56_15 = e1
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1183), (1231) imply:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) e2 = e1
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1232) imply:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) $false
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1233) is inconsistent.
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) ~ (all_56_15 = e1)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) ~ (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1235) implies:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) ~ (all_56_11 = e0)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) op(e0, e1) = all_56_11
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1228) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_56_15 = e3
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1183), (1238) are inconsistent by sub-proof
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1291.
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) ~ (all_56_15 = e3)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1240) implies:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) ~ (all_56_9 = e0)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) op(e0, e3) = all_56_9
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11, e1, e0, simplifying with (157), (1237)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_56_11 = all_52_11
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_9,
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (564), (1242) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) all_56_9 = e3
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_30_1,
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e0, e2, simplifying with (1179), (1226)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) all_56_5 = all_30_1
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1236), (1243) imply:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) ~ (all_52_11 = e0)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) all_58_15 = e0 & op(e0, e0) = e0
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (1247), (function-axioms) are
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1248) implies:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1214) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_54_14 = e2
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (1185), (1251) are inconsistent by
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1518.
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) ~ (all_54_14 = e2)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_54_14 = e1 | all_54_14 = e0
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1249) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) all_58_12 = e0 & op(e0, e3) = e0
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1254) implies:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) all_58_12 = e0
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (1255) imply:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) e3 = e0
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (543), (1256) imply:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) all_56_13 = e0
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (164), (1179), (1182), (1186), (1226),
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230), (1257), (function-axioms) are inconsistent
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1423.
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1258) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) all_58_13 = e0 & op(e0, e2) = e0
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1259) implies:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) all_58_13 = e0
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (563), (1260), (1261) are inconsistent
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1290.
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1262) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) all_58_14 = e1 & op(e0, e1) = e1
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1263) implies:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) all_58_14 = e1
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1265) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_58_1 = e1 & op(e3, e2) = e1
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1266) implies:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) all_58_1 = e1
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (240), (244), (559),
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076), (1267), (function-axioms) are inconsistent
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1287.
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) all_58_3 = e1 & op(e2, e2) = e1
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (569), (1268) are inconsistent by sub-proof
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1367.
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1269) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) all_58_7 = e1 & op(e1, e2) = e1
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1270) implies:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) all_58_7 = e1
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1272) gives:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_58_1 = e2 & op(e3, e2) = e2
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1273) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_58_1 = e2
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1253) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_54_14 = e1
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (1275) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_52_11 = e1
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1276) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_52_11 = e1
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1277) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) ~ (all_52_7 = e1)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (1076), (1274), (1279),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1285.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1280) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) all_58_4 = e0 & op(e3, e1) = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1281) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_58_4 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1205) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_54_13 = e2
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (1184), (1283) are inconsistent by
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1284.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) ~ (all_54_13 = e2)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) all_54_13 = e1 | all_54_13 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1286) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) all_58_4 = e2 & op(e3, e1) = e2
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1287) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) all_58_4 = e2
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1282), (1288) are inconsistent by sub-proof
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1542.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_58_5 = e2 & op(e2, e1) = e2
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1289) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_58_5 = e2
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1229) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) all_56_5 = e3
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1245), (1291) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) all_30_1 = e3
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1292) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) all_30_1 = e3
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1198), (1293) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) $false
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1294) is inconsistent.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1295) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) op(e2, e3) = all_56_3
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1285) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) all_54_13 = e1
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (1278), (1297) are inconsistent by
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1283.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) all_54_13 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (1298) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) all_52_7 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1299) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) all_52_7 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1300) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) ~ (all_52_6 = e0)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (1300) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) ~ (all_16_1 = e0)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1302) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) ~ (all_16_1 = e0)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (545), (1300) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) ~ (e3 = e0)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1184), (1300) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) ~ (e2 = e0)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1278), (1300) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) ~ (e1 = e0)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (126), (169), (195),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (236), (237), (238), (240), (246),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (267), (406), (407), (426), (430), (435),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563), (575), (579), (1068), (1073), (1076),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085), (1087), (1089), (1187), (1202), (1209),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211), (1249), (1271), (1274), (1296), (1301),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303), (1307), (function-axioms) are inconsistent
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1278.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1308) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) all_58_5 = e0 & op(e2, e1) = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1309) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) all_58_5 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1290), (1310) are inconsistent by sub-proof
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1590.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) all_58_10 = e0 & op(e2, e0) = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1311) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) all_58_10 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1313) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) all_58_6 = e2 & op(e1, e3) = e2
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1314) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) all_58_6 = e2
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1316) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_58_9 = e1 & op(e3, e0) = e1
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1317) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_58_9 = e1
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (169), (244), (246), (407),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430), (435), (1076), (1282), (1318),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1538.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) all_58_10 = e1 & op(e2, e0) = e1
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1319) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_58_10 = e1
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1250) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_58_9 = e0 & op(e3, e0) = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1321) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) all_58_9 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1322) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) e3 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (1323) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) all_58_3 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (228), (229),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (240), (246), (407), (426),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430), (435), (563), (1076), (1249), (1271),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274), (1324), (function-axioms) are inconsistent
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1503.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1325) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1312), (1320) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) e1 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1264), (1326) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) all_58_14 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (228), (229), (426),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282), (1327) are inconsistent by sub-proof
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1892.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) all_58_11 = e0 & op(e1, e0) = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1328) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) all_58_11 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1285) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_54_13 = e1
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (1278), (1330) are inconsistent by
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1283.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (126), (169), (195),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (236), (237), (238), (240), (246),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (267), (406), (407), (426), (430), (435),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563), (575), (579), (1068), (1073), (1076),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085), (1087), (1089), (1187), (1202), (1209),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211), (1249), (1271), (1274), (1296), (1301),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303), (1331), (function-axioms) are inconsistent
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1278.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1308) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) all_58_5 = e0 & op(e2, e1) = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1290), (1332) are inconsistent by sub-proof
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1320.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1312), (1320) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) e1 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1271), (1333) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) all_58_7 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (224), (225), (426),
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329), (1334) are inconsistent by sub-proof
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1598.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1335) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) all_58_11 = e1 & op(e1, e0) = e1
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1336) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_58_11 = e1
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1338) gives:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_58_6 = e0 & op(e1, e3) = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1339) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) all_58_6 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1315), (1340) are inconsistent by sub-proof
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1642.
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_58_7 = e0 & op(e1, e2) = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1341) implies:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) all_58_7 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1271), (1342) imply:
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) e1 = e0
% 197.53/32.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (224), (426), (1271), (1315),
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337), (1343) are inconsistent by sub-proof
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1761.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1344) gives:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_58_8 = e0 & op(e1, e1) = e0
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (228), (229),
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (408), (426), (569), (1282),
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312), (1345), (function-axioms) are inconsistent
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1277.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) all_58_11 = e0 & op(e1, e0) = e0
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (224), (225), (426),
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271), (1337), (1346) are inconsistent by
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1520.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_58_15 = e1 & op(e0, e0) = e1
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1347) implies:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) op(e0, e0) = e1
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (218), (563), (1260), (1264),
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348), (function-axioms) are inconsistent by
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1369.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_58_7 = e2 & op(e1, e2) = e2
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1349) implies:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_58_7 = e2
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1271), (1350) imply:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) e2 = e1
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1274), (1351) imply:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) all_58_1 = e1
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (559), (1076), (1282),
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352), (function-axioms) are inconsistent by
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1288.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1353) gives:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_58_8 = e2 & op(e1, e1) = e2
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (426), (1354) are inconsistent by sub-proof
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1850.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_58_11 = e2 & op(e1, e0) = e2
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1355) implies:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) all_58_11 = e2
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (220), (559), (1189), (1312),
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356), (function-axioms) are inconsistent by
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1357) gives:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_58_8 = e2 & op(e1, e1) = e2
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1358) implies:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_58_8 = e2
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (426), (1359) are inconsistent by sub-proof
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1897.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_58_14 = e2 & op(e0, e1) = e2
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1360) implies:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) all_58_14 = e2
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (563), (1260), (1362) are inconsistent
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1290.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1189), (1262), (1361), (function-axioms) are
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1275.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_58_9 = e0 & op(e3, e0) = e0
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1363) implies:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_58_9 = e0
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1364) imply:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) e3 = e0
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1365) implies:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) e3 = e0
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (1366) imply:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) all_58_3 = e0
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (228), (229),
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (240), (246), (407), (426),
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430), (435), (563), (1076), (1249), (1271),
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274), (1367), (function-axioms) are inconsistent
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1503.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_54_14 = e0
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (1246), (1368) are inconsistent by
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1468.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_58_3 = e2 & op(e2, e2) = e2
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (569), (1369) are inconsistent by sub-proof
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1348.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1370) gives:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_58_7 = e2 & op(e1, e2) = e2
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1271), (1371) are inconsistent by sub-proof
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1826.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_58_13 = e2 & op(e0, e2) = e2
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1260), (1372) are inconsistent by sub-proof
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1274.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_58_13 = e1 & op(e0, e2) = e1
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1260), (1373) are inconsistent by sub-proof
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1273.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_58_15 = e1 & op(e0, e0) = e1
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1374) implies:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) op(e0, e0) = e1
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1189), (1375), (function-axioms) are
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_58_14 = e0 & op(e0, e1) = e0
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1376) implies:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) op(e0, e1) = e0
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1236), (1237), (1377), (function-axioms) are
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1318.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1378) implies:
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) op(e1, e3) = all_56_6
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) ~ (all_56_14 = e3) | all_56_6 = e1
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (404), (1067), (1091), (1379), (1380),
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1465.
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | |
% 197.53/32.51 | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.51 | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1381) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 197.53/32.52 | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (408), (546), (1381),
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.52 | | | | | | | | | | | | | | | | | | #1399.
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | End of split
% 197.53/32.52 | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.52 | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | (1382) all_58_13 = e3 & op(e0, e2) = e3
% 197.53/32.52 | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | ALPHA: (1382) implies:
% 197.53/32.52 | | | | | | | | | | | | | | | | | (1383) op(e0, e2) = e3
% 197.53/32.52 | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (545), (1383), (function-axioms) are
% 197.53/32.52 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 197.53/32.52 | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | End of split
% 197.53/32.52 | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | Case 2:
% 197.53/32.52 | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | (1384) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 197.53/32.52 | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 197.53/32.52 | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (409), (451), (1384),
% 197.53/32.52 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.52 | | | | | | | | | | | | | | | | #1389.
% 197.53/32.52 | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | End of split
% 197.53/32.52 | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | End of split
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | End of split
% 197.53/32.52 | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | End of split
% 197.53/32.52 | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | End of split
% 197.53/32.52 | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | Case 2:
% 197.53/32.52 | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | (1385) all_14_2 = e2
% 197.53/32.52 | | | | | | | | | | | (1386) op(e2, e3) = all_14_1 & $i(all_14_1) & ( ~
% 197.53/32.52 | | | | | | | | | | | (all_14_1 = e1) | ( ~ (all_14_0 = e0) & op(e1,
% 197.53/32.52 | | | | | | | | | | | e3) = all_14_0 & $i(all_14_0)))
% 197.53/32.52 | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | ALPHA: (1386) implies:
% 197.53/32.52 | | | | | | | | | | | (1387) op(e2, e3) = all_14_1
% 197.53/32.52 | | | | | | | | | | | (1388) ~ (all_14_1 = e1) | ( ~ (all_14_0 = e0) & op(e1,
% 197.53/32.52 | | | | | | | | | | | e3) = all_14_0 & $i(all_14_0))
% 197.53/32.52 | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | COMBINE_EQS: (339), (1385) imply:
% 197.53/32.52 | | | | | | | | | | | (1389) all_22_2 = e2
% 197.53/32.52 | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | COMBINE_EQS: (290), (1385) imply:
% 197.53/32.52 | | | | | | | | | | | (1390) all_56_12 = e2
% 197.53/32.52 | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | REDUCE: (360), (1385) imply:
% 197.53/32.52 | | | | | | | | | | | (1391) ~ (all_52_1 = e2)
% 197.53/32.52 | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | REDUCE: (362), (1385) imply:
% 197.53/32.52 | | | | | | | | | | | (1392) ~ (all_52_2 = e2)
% 197.53/32.52 | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | REDUCE: (366), (1385) imply:
% 197.53/32.52 | | | | | | | | | | | (1393) ~ (all_52_4 = e2)
% 197.53/32.52 | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | REDUCE: (370), (1385) imply:
% 197.53/32.52 | | | | | | | | | | | (1394) ~ (all_52_12 = e2)
% 197.53/32.52 | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | REDUCE: (355), (1385) imply:
% 197.53/32.52 | | | | | | | | | | | (1395) ~ (e3 = e2)
% 197.53/32.52 | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | REDUCE: (51), (1385) imply:
% 197.53/32.52 | | | | | | | | | | | (1396) op(e3, e3) = e2
% 197.53/32.52 | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | BETA: splitting (64) gives:
% 197.53/32.52 | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | Case 1:
% 197.53/32.52 | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | (1397) ~ (all_22_2 = e2)
% 197.53/32.52 | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | REDUCE: (1389), (1397) imply:
% 197.53/32.52 | | | | | | | | | | | | (1398) $false
% 197.53/32.52 | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | CLOSE: (1398) is inconsistent.
% 197.53/32.52 | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | Case 2:
% 197.53/32.52 | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | (1399) op(e2, e3) = all_22_1 & $i(all_22_1) & ( ~
% 197.53/32.52 | | | | | | | | | | | | (all_22_1 = e0) | ( ~ (all_22_0 = e1) & op(e0,
% 197.53/32.52 | | | | | | | | | | | | e3) = all_22_0 & $i(all_22_0)))
% 197.53/32.52 | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | ALPHA: (1399) implies:
% 197.53/32.52 | | | | | | | | | | | | (1400) op(e2, e3) = all_22_1
% 197.53/32.52 | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | BETA: splitting (243) gives:
% 197.53/32.52 | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | Case 1:
% 197.53/32.52 | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | (1401) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 197.53/32.52 | | | | | | | | | | | | | & op(e2, e3) = e2)
% 197.53/32.52 | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | BETA: splitting (1401) gives:
% 197.53/32.52 | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | Case 1:
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | (1402) all_58_0 = e2 & op(e3, e3) = e2
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | ALPHA: (1402) implies:
% 197.53/32.52 | | | | | | | | | | | | | | (1403) all_58_0 = e2
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 197.53/32.52 | | | | | | | | | | | | | | all_14_1, e3, e2, simplifying with (167), (1387)
% 197.53/32.52 | | | | | | | | | | | | | | gives:
% 197.53/32.52 | | | | | | | | | | | | | | (1404) all_52_1 = all_14_1
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 197.53/32.52 | | | | | | | | | | | | | | all_22_1, e3, e2, simplifying with (167), (1400)
% 197.53/32.52 | | | | | | | | | | | | | | gives:
% 197.53/32.52 | | | | | | | | | | | | | | (1405) all_52_1 = all_22_1
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | COMBINE_EQS: (1404), (1405) imply:
% 197.53/32.52 | | | | | | | | | | | | | | (1406) all_22_1 = all_14_1
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | SIMP: (1406) implies:
% 197.53/32.52 | | | | | | | | | | | | | | (1407) all_22_1 = all_14_1
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | COMBINE_EQS: (279), (1404) imply:
% 197.53/32.52 | | | | | | | | | | | | | | (1408) all_54_4 = all_14_1
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | REDUCE: (148), (1404) imply:
% 197.53/32.52 | | | | | | | | | | | | | | (1409) ~ (all_52_3 = all_14_1)
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | SIMP: (1409) implies:
% 197.53/32.52 | | | | | | | | | | | | | | (1410) ~ (all_52_3 = all_14_1)
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | REDUCE: (146), (1404) imply:
% 197.53/32.52 | | | | | | | | | | | | | | (1411) ~ (all_52_9 = all_14_1)
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | SIMP: (1411) implies:
% 197.53/32.52 | | | | | | | | | | | | | | (1412) ~ (all_52_9 = all_14_1)
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | REDUCE: (371), (1404) imply:
% 197.53/32.52 | | | | | | | | | | | | | | (1413) ~ (all_14_1 = all_6_2)
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | REDUCE: (1391), (1404) imply:
% 197.53/32.52 | | | | | | | | | | | | | | (1414) ~ (all_14_1 = e2)
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 197.53/32.52 | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | Case 1:
% 197.53/32.52 | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | (1415) ~ (all_16_2 = e3)
% 197.53/32.52 | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | REDUCE: (345), (1415) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | (1416) ~ (all_6_2 = e3)
% 197.53/32.52 | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 197.53/32.52 | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | Case 1:
% 197.53/32.52 | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | (1417) all_54_5 = e3
% 197.53/32.52 | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (1417) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | (1418) all_6_2 = e3
% 197.53/32.52 | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | REDUCE: (1416), (1418) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | (1419) $false
% 197.53/32.52 | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | CLOSE: (1419) is inconsistent.
% 197.53/32.52 | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | Case 2:
% 197.53/32.52 | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | (1420) ~ (all_54_5 = e3)
% 197.53/32.52 | | | | | | | | | | | | | | | | (1421) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.53/32.52 | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | BETA: splitting (1421) gives:
% 197.53/32.52 | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.52 | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | (1422) all_54_5 = e2
% 197.53/32.52 | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (1422) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | (1423) all_6_2 = e2
% 197.53/32.52 | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | REDUCE: (356), (1423) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | (1424) $false
% 197.53/32.52 | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | CLOSE: (1424) is inconsistent.
% 197.53/32.52 | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.52 | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | (1425) ~ (all_54_5 = e2)
% 197.53/32.52 | | | | | | | | | | | | | | | | | (1426) all_54_5 = e1 | all_54_5 = e0
% 197.53/32.52 | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | BETA: splitting (1426) gives:
% 197.53/32.52 | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1427) all_54_5 = e1
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (1427) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1428) all_6_2 = e1
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | REDUCE: (396), (1428) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1429) $false
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | CLOSE: (1429) is inconsistent.
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1430) all_54_5 = e0
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (1430) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1431) all_6_2 = e0
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (1431) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1432) all_20_2 = e0
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (1431) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1433) all_26_2 = e0
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (1431) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1434) all_56_13 = e0
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | REDUCE: (374), (1431) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1435) ~ (all_52_4 = e0)
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | REDUCE: (376), (1431) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1436) ~ (all_52_6 = e0)
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | REDUCE: (378), (1431) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1437) ~ (all_52_7 = e0)
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | REDUCE: (380), (1431) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1438) ~ (all_52_9 = e0)
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | REDUCE: (1413), (1431) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1439) ~ (all_14_1 = e0)
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | REDUCE: (1416), (1431) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1440) ~ (e3 = e0)
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | REDUCE: (356), (1431) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1441) ~ (e2 = e0)
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | REDUCE: (396), (1431) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1442) ~ (e1 = e0)
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | REDUCE: (39), (1431) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | (1443) op(e2, e2) = e0
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 197.53/32.52 | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | (1444) ~ (all_20_2 = e0)
% 197.53/32.52 | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | REDUCE: (1432), (1444) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | (1445) $false
% 197.53/32.52 | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | CLOSE: (1445) is inconsistent.
% 197.53/32.52 | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | (1446) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | e2) = all_20_0 & $i(all_20_0)))
% 197.53/32.52 | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | ALPHA: (1446) implies:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | (1447) op(e0, e2) = all_20_1
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | (1448) ~ (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | e2) = all_20_0 & $i(all_20_0))
% 197.53/32.52 | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | (1449) ~ (all_26_2 = e0)
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (1433), (1449) imply:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | (1450) $false
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | CLOSE: (1450) is inconsistent.
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | (1451) op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | e2) = all_26_0 & $i(all_26_0)))
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | ALPHA: (1451) implies:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | (1452) op(e0, e2) = all_26_1
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | | (1453) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1453) gives:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | | | (1454) all_58_2 = e0 & op(e2, e3) = e0
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1454) implies:
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | | | (1455) all_58_2 = e0
% 197.53/32.52 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (76),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (91), (94), (100), (110), (112), (113), (125),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (128), (133), (135), (136), (139), (140), (157),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (165), (169), (170),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (195), (197),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (200), (201), (203), (214), (216), (217), (218),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (232), (233), (234), (235),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (254), (255), (256),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (257), (258), (267), (269), (280), (282), (298),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (316), (328), (350), (351), (355), (358), (373),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (384), (391), (392), (393), (394), (404), (406),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (407), (408), (409), (410), (426), (430), (435),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (451), (1388), (1390), (1392), (1393), (1394),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (1396), (1403), (1408), (1410), (1414), (1434),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (1435), (1436), (1437), (1438), (1439), (1443),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (1447), (1448), (1452), (1455), (function-axioms)
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1128.
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (1456) all_58_3 = e0 & op(e2, e2) = e0
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1456) implies:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (1457) all_58_3 = e0
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (45), (51), (76), (91), (94),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (100), (110), (112), (113), (125), (128), (133),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (157), (158), (160),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (169), (170), (189), (190),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (200), (201),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (203), (214), (216), (217), (218), (219), (220),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (229), (232), (233), (234), (235), (236), (237),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (245), (246), (254), (255), (256), (257), (258),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (267), (269), (280), (282), (298), (316), (328),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (350), (351), (355), (358), (373), (384), (391),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (392), (393), (394), (404), (406), (407), (408),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (409), (410), (426), (430), (435), (451), (1388),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (1390), (1392), (1393), (1394), (1396), (1403),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (1408), (1410), (1414), (1434), (1435), (1436),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (1437), (1438), (1439), (1447), (1448), (1452),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (1457), (function-axioms) are inconsistent by
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1196.
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | (1458) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1458) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (1459) all_58_5 = e0 & op(e2, e1) = e0
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1459) implies:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (1460) op(e2, e1) = e0
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1438), (1460), (function-axioms) are
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (1461) all_58_10 = e0 & op(e2, e0) = e0
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1461) implies:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | (1462) all_58_10 = e0
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | (1463) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1463) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_58_2 = e2 & op(e2, e3) = e2
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1464) implies:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_58_2 = e2
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (1396), (1465), (function-axioms)
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1234.
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | (1466) all_58_3 = e2 & op(e2, e2) = e2
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1466) implies:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_58_3 = e2
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1468) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1468) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) all_58_1 = e0 & op(e3, e2) = e0
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1469) implies:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) all_58_1 = e0
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1471) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) all_58_9 = e3 & op(e3, e0) = e3
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1472) implies:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_58_9 = e3
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1474) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) all_58_2 = e3 & op(e2, e3) = e3
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1475) implies:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) all_58_2 = e3
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_58_15 = e0 & op(e0, e0) = e0
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (1477), (function-axioms) are
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1478) implies:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1480) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_58_1 = e3 & op(e3, e2) = e3
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1481) implies:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) all_58_1 = e3
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1470), (1482) imply:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) e3 = e0
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (76),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (94), (100), (110), (112), (113), (125),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (133), (135), (136), (139), (140), (157),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (165), (169), (170),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (195), (197),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (203), (214), (216), (217), (218),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (232), (233), (234), (235),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (254), (255), (256),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (258), (267), (269), (280), (282), (298),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316), (328), (350), (351), (355), (358), (373),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384), (391), (392), (393), (394), (404), (406),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (408), (409), (410), (426), (430), (435),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (1388), (1390), (1392), (1393), (1394),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1403), (1408), (1410), (1414), (1434),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435), (1436), (1437), (1438), (1439), (1443),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447), (1448), (1452), (1476), (1483),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1127.
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_58_3 = e3 & op(e2, e2) = e3
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1484) implies:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) all_58_3 = e3
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1467), (1485) imply:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) e3 = e2
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (1396), (1476), (1486),
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1487) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_58_7 = e3 & op(e1, e2) = e3
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1488) implies:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) all_58_7 = e3
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1490) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) all_58_1 = e1 & op(e3, e2) = e1
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1470), (1491) are inconsistent by sub-proof
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1799.
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_58_3 = e1 & op(e2, e2) = e1
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1467), (1492) are inconsistent by sub-proof
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1396.
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1493) gives:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) all_58_7 = e1 & op(e1, e2) = e1
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1494) implies:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) all_58_7 = e1
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1489), (1495) are inconsistent by sub-proof
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1803.
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_58_13 = e1 & op(e0, e2) = e1
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1496) implies:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_58_13 = e1
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (45), (157), (219),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (409), (451), (1396), (1476),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497), (function-axioms) are inconsistent by
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1125.
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) all_58_13 = e3 & op(e0, e2) = e3
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1498) implies:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) all_58_13 = e3
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) op(e0, e2) = e3
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (76),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (94), (100), (110), (112), (113), (125),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (133), (135), (136), (139), (140), (157),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (165), (169), (170),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (195), (197),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (203), (214), (216), (217), (218),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (232), (233), (234), (235),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (254), (255), (256),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (258), (267), (269), (280), (282), (298),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316), (328), (350), (351), (355), (358), (373),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384), (391), (392), (393), (394), (404), (406),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (408), (409), (410), (426), (430), (435),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (1388), (1390), (1392), (1393), (1394),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1403), (1408), (1410), (1414), (1434),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435), (1436), (1437), (1438), (1439), (1443),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447), (1448), (1452), (1462), (1467), (1470),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473), (1476), (1479), (1499), (1500),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1116.
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) all_58_3 = e3 & op(e2, e2) = e3
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1501) implies:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) all_58_3 = e3
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1467), (1502) imply:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) e3 = e2
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1473), (1503) imply:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) all_58_9 = e2
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (407), (430), (435), (1396),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504), (function-axioms) are inconsistent by
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1254.
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (165), (408), (1462), (1505),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1883.
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) all_58_10 = e3 & op(e2, e0) = e3
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1462), (1506) are inconsistent by sub-proof
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1884.
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (410), (451), (1507),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) all_58_3 = e0 & op(e2, e2) = e0
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1508) implies:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) all_58_3 = e0
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (45), (51), (76), (91), (94),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (100), (110), (112), (113), (125), (128), (133),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (157), (158), (160),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (169), (170), (189), (190),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (200), (201),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (214), (216), (217), (218), (219), (220),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (233), (234), (235), (236), (237),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (254), (255), (256), (257), (258),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (269), (280), (282), (298), (316), (328),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (351), (355), (358), (373), (384), (391),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (392), (393), (394), (404), (406), (407), (408),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (409), (410), (426), (430), (435), (451), (1388),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1390), (1392), (1393), (1394), (1396), (1403),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1408), (1410), (1414), (1434), (1435), (1436),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1437), (1438), (1439), (1447), (1448), (1452),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1509), (function-axioms) are inconsistent by
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1196.
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | (1510) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1510) gives:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_58_7 = e0 & op(e1, e2) = e0
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1511) implies:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) all_58_7 = e0
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (45), (51), (76), (91), (94),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (100), (110), (112), (113), (125), (128), (133),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (157), (158), (160),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (169), (170), (189), (190),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (200), (201),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (214), (216), (217), (218), (219), (220),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (233), (234), (235), (236), (237),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (254), (255), (256), (257), (258),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (269), (280), (282), (298), (316), (328),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (351), (355), (358), (373), (384), (391),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (392), (393), (394), (404), (406), (407), (408),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (409), (410), (426), (430), (435), (451), (1388),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390), (1392), (1393), (1394), (1396), (1403),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408), (1410), (1414), (1434), (1435), (1436),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437), (1438), (1439), (1447), (1448), (1452),
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467), (1512), (1513), (function-axioms) are
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1188.
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1514) gives:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) all_58_8 = e2 & op(e1, e1) = e2
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (426), (1515) are inconsistent by sub-proof
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1850.
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) all_58_11 = e2 & op(e1, e0) = e2
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1516) implies:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) all_58_11 = e2
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1518) gives:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) all_58_6 = e1 & op(e1, e3) = e1
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1519) implies:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) all_58_6 = e1
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1521) gives:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) all_58_9 = e3 & op(e3, e0) = e3
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1522) implies:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) all_58_9 = e3
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1524) gives:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) all_58_0 = e3 & op(e3, e3) = e3
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (1525), (function-axioms) are
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) all_58_2 = e3 & op(e2, e3) = e3
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1526) implies:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) all_58_2 = e3
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (1467), (1527), (1528) are inconsistent
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1115.
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1529) gives:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) all_58_5 = e1 & op(e2, e1) = e1
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1530) implies:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) all_58_5 = e1
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1532) gives:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) all_58_9 = e1 & op(e3, e0) = e1
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1523), (1533) are inconsistent by sub-proof
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1762.
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) all_58_10 = e1 & op(e2, e0) = e1
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1534) implies:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) all_58_10 = e1
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1462), (1535) imply:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) e1 = e0
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (224), (426), (1512), (1517),
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520), (1536) are inconsistent by sub-proof
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1360.
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1537) gives:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.53/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) all_58_11 = e1 & op(e1, e0) = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1538) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) all_58_11 = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1517), (1539) are inconsistent by sub-proof
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1559.
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) all_58_15 = e1 & op(e0, e0) = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1540) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) op(e0, e0) = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1542) gives:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) all_58_12 = e3 & op(e0, e3) = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1543) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) all_58_12 = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (239), (241), (1396),
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527), (1544), (function-axioms) are inconsistent
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1411.
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) all_58_13 = e3 & op(e0, e2) = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1546) gives:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) all_58_1 = e1 & op(e3, e2) = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1548) gives:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1545) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) op(e0, e2) = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1547) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) op(e3, e2) = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_20_1,
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1447), (1549) gives:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) all_20_1 = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1448), (1550), (1551), (function-axioms) are
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1751.
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) all_58_3 = e3 & op(e2, e2) = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1552) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) all_58_3 = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1467), (1553) imply:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) e3 = e2
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (1396), (1527), (1554),
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1555) gives:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) all_58_5 = e3 & op(e2, e1) = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1556) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) op(e2, e1) = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (408), (1557), (function-axioms) are
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) all_58_10 = e3 & op(e2, e0) = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1558) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) all_58_10 = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (231), (1467), (1527), (1531),
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) are inconsistent by sub-proof #1113.
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) all_58_3 = e1 & op(e2, e2) = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1560) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) all_58_3 = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1467), (1561) imply:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) e2 = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1562) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) e2 = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1517), (1563) imply:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) all_58_11 = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (45), (216), (221),
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (1523), (1541), (1564), (function-axioms)
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1296.
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1565) gives:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) all_58_7 = e1 & op(e1, e2) = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1566) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) all_58_7 = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1512), (1567) imply:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) e1 = e0
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (224), (426), (1517), (1520),
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567), (1568) are inconsistent by sub-proof
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1202.
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) all_58_13 = e1 & op(e0, e2) = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1569) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) all_58_13 = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (216),
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (358), (409), (1541), (1570),
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1118.
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (409), (1541), (1571),
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1840.
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) all_58_10 = e1 & op(e2, e0) = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1572) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) all_58_10 = e1
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1462), (1573) imply:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) e1 = e0
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (224), (426), (1512), (1517),
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520), (1574) are inconsistent by sub-proof
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1360.
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1575) gives:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) all_58_6 = e3 & op(e1, e3) = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1576) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) all_58_6 = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426), (1517), (1577) are inconsistent by
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1270.
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) all_58_12 = e3 & op(e0, e3) = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1578) implies:
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) all_58_12 = e3
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (165), (169),
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (239), (240), (241), (242), (243), (246),
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (407), (408), (430), (435), (1396), (1462),
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467), (1523), (1579), (function-axioms) are
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1112.
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) all_58_10 = e3 & op(e2, e0) = e3
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1462), (1580) are inconsistent by sub-proof
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1884.
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (410), (451), (1581),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) all_58_7 = e1 & op(e1, e2) = e1
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1512), (1582) are inconsistent by sub-proof
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1197.
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (426), (1517), (1583) are inconsistent
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1338.
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) all_58_13 = e0 & op(e0, e2) = e0
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1584) implies:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) op(e0, e2) = e0
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (165), (169), (219), (222), (234), (239),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (246), (355), (407),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (409), (410), (430), (435), (451), (1396),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1462), (1467), (1585), (function-axioms) are
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1111.
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | (1586) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1586) gives:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | (1587) all_58_5 = e2 & op(e2, e1) = e2
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1587) implies:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | (1588) all_58_5 = e2
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | (1589) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1589) gives:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) all_58_1 = e0 & op(e3, e2) = e0
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1590) implies:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) all_58_1 = e0
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1592) gives:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) all_58_2 = e1 & op(e2, e3) = e1
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1593) implies:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) all_58_2 = e1
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (76),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (94), (100), (110), (112), (113), (125),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (133), (135), (136), (139), (140), (157),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (165), (169), (170),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (195), (197),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (203), (214), (216), (217), (218),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (232), (233), (234), (235),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (254), (255), (256),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (258), (267), (269), (280), (282), (298),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316), (328), (350), (351), (355), (358), (373),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384), (391), (392), (393), (394), (404), (406),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (408), (409), (410), (426), (430), (435),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (1388), (1390), (1392), (1393), (1394),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1403), (1408), (1410), (1414), (1434),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435), (1436), (1437), (1438), (1439), (1443),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447), (1448), (1452), (1462), (1591), (1594),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1109.
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) all_58_3 = e1 & op(e2, e2) = e1
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1595) implies:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) all_58_3 = e1
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) op(e2, e2) = e1
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (76),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (94), (100), (110), (112), (113), (125),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (133), (135), (136), (139), (140), (157),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (165), (169), (170),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (195), (197),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (203), (214), (216), (217), (218),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (232), (233), (234), (235),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (254), (255), (256),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (258), (267), (269), (280), (282), (298),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316), (328), (350), (351), (355), (358), (373),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384), (391), (392), (393), (394), (404), (406),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (408), (409), (410), (426), (430), (435),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (1388), (1390), (1392), (1393), (1394),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1403), (1408), (1410), (1414), (1434),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435), (1436), (1437), (1438), (1439), (1443),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447), (1448), (1452), (1462), (1591), (1596),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597), (function-axioms) are inconsistent by
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1104.
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (1462), (1588), (1598) are inconsistent
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1103.
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) all_58_3 = e0 & op(e2, e2) = e0
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1599) implies:
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) all_58_3 = e0
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (45), (51), (76), (91), (94),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (100), (110), (112), (113), (125), (128), (133),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (157), (158), (160),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (169), (170), (189), (190),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (200), (201),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (214), (216), (217), (218), (219), (220),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (233), (234), (235), (236), (237),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (254), (255), (256), (257), (258),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (269), (280), (282), (298), (316), (328),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (351), (355), (358), (373), (384), (391),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (392), (393), (394), (404), (406), (407), (408),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (409), (410), (426), (430), (435), (451), (1388),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1390), (1392), (1393), (1394), (1396), (1403),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1408), (1410), (1414), (1434), (1435), (1436),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1437), (1438), (1439), (1447), (1448), (1452),
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1600), (function-axioms) are inconsistent by
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1196.
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | (1601) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1601) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) all_58_7 = e0 & op(e1, e2) = e0
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1602) implies:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) all_58_7 = e0
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (1392), (1603), (1604),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1181.
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1605) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_58_8 = e2 & op(e1, e1) = e2
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (426), (1606) are inconsistent by sub-proof
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1850.
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) all_58_11 = e2 & op(e1, e0) = e2
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1607) implies:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) all_58_11 = e2
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1609) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) all_58_2 = e1 & op(e2, e3) = e1
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1610) implies:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) all_58_2 = e1
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (355), (1611), (1612),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1102.
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1613) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) all_58_6 = e3 & op(e1, e3) = e3
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1614) implies:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) all_58_6 = e3
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426), (1608), (1615) are inconsistent by
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1270.
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) all_58_12 = e3 & op(e0, e3) = e3
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1616) implies:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) all_58_12 = e3
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1618) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) all_58_6 = e1 & op(e1, e3) = e1
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1619) implies:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) all_58_6 = e1
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1621) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) all_58_0 = e0 & op(e3, e3) = e0
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1622) implies:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) op(e3, e3) = e0
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1396), (1623), (function-axioms) are
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) all_58_2 = e0 & op(e2, e3) = e0
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1624) implies:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) all_58_2 = e0
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (76),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (94), (100), (110), (112), (113), (125),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (133), (135), (136), (139), (140), (157),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (165), (169), (170),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (195), (197),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (203), (214), (216), (217), (218),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (232), (233), (234), (235),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (254), (255), (256),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (258), (267), (269), (280), (282), (298),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316), (328), (350), (351), (355), (358), (373),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384), (391), (392), (393), (394), (404), (406),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (408), (409), (410), (426), (430), (435),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (1388), (1390), (1392), (1393), (1394),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1403), (1408), (1410), (1414), (1434),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435), (1436), (1437), (1438), (1439), (1443),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447), (1448), (1452), (1603), (1617), (1620),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625), (function-axioms) are inconsistent by
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1169.
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1626) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_58_6 = e0 & op(e1, e3) = e0
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1627) implies:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_58_6 = e0
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (224), (426), (1603), (1608),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) are inconsistent by sub-proof #1557.
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) all_58_12 = e0 & op(e0, e3) = e0
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1629) implies:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) all_58_12 = e0
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1617), (1630) are inconsistent by sub-proof
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1640.
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) all_58_7 = e1 & op(e1, e2) = e1
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1631) implies:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_58_7 = e1
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1603), (1632) imply:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) e1 = e0
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (76),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (94), (100), (110), (112), (113), (125),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (133), (135), (136), (139), (140), (157),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (165), (169), (170),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (195), (197),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (203), (214), (216), (217), (218),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (232), (233), (234), (235),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (254), (255), (256),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (258), (267), (269), (280), (282), (298),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316), (328), (350), (351), (355), (358), (373),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384), (391), (392), (393), (394), (404), (406),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (408), (409), (410), (426), (430), (435),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (1388), (1390), (1392), (1393), (1394),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1403), (1408), (1410), (1414), (1434),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435), (1436), (1437), (1438), (1439), (1443),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447), (1448), (1452), (1611), (1617), (1633),
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1110.
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (426), (1608), (1634) are inconsistent
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1558.
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_58_3 = e1 & op(e2, e2) = e1
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1635) implies:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) all_58_3 = e1
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1637) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_58_6 = e1 & op(e1, e3) = e1
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1638) implies:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_58_6 = e1
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1640) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_58_9 = e3 & op(e3, e0) = e3
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1641) implies:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) all_58_9 = e3
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1643) gives:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_58_0 = e0 & op(e3, e3) = e0
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1644) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) op(e3, e3) = e0
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1396), (1645), (function-axioms) are
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) all_58_2 = e0 & op(e2, e3) = e0
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1646) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) all_58_2 = e0
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (76),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (94), (100), (110), (112), (113), (125),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (133), (135), (136), (139), (140), (157),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (165), (169), (170),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (195), (197),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (203), (214), (216), (217), (218),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (232), (233), (234), (235),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (254), (255), (256),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (258), (267), (269), (280), (282), (298),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316), (328), (350), (351), (355), (358), (373),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384), (391), (392), (393), (394), (404), (406),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (408), (409), (410), (426), (430), (435),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (1388), (1390), (1392), (1393), (1394),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1403), (1408), (1410), (1414), (1434),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435), (1436), (1437), (1438), (1439), (1443),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447), (1448), (1452), (1647), (function-axioms)
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1128.
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1648) gives:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_58_6 = e0 & op(e1, e3) = e0
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1649) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) all_58_6 = e0
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (224), (426), (1603), (1608),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) are inconsistent by sub-proof #1557.
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) all_58_12 = e0 & op(e0, e3) = e0
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1651) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) all_58_12 = e0
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1653) gives:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_58_0 = e3 & op(e3, e3) = e3
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (1654), (function-axioms) are
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) all_58_2 = e3 & op(e2, e3) = e3
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1655) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) all_58_2 = e3
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1657) gives:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) all_58_12 = e3 & op(e0, e3) = e3
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1658) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) all_58_12 = e3
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (239), (1396), (1639), (1656),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659), (function-axioms) are inconsistent by
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1412.
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_58_13 = e3 & op(e0, e2) = e3
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1660) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_58_13 = e3
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1662) gives:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) all_58_9 = e1 & op(e3, e0) = e1
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (45), (157), (219),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (409), (451), (1396), (1642),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656), (1661), (1663), (function-axioms) are
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1123.
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) all_58_10 = e1 & op(e2, e0) = e1
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1664) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) all_58_10 = e1
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1462), (1665) imply:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) e1 = e0
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1666) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) e1 = e0
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1636), (1667) imply:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) all_58_3 = e0
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (224), (225), (232),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426), (1462), (1588), (1603), (1639), (1656),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) are inconsistent by sub-proof #1101.
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1669) gives:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_58_11 = e1 & op(e1, e0) = e1
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1670) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_58_11 = e1
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1608), (1671) are inconsistent by sub-proof
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1559.
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) all_58_15 = e1 & op(e0, e0) = e1
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1672) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) op(e0, e0) = e1
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1674) gives:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_58_12 = e2 & op(e0, e3) = e2
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1675) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_58_12 = e2
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (216),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (239), (241), (358), (409),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (1396), (1656), (1676), (function-axioms)
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1262.
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_58_13 = e2 & op(e0, e2) = e2
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1677) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) all_58_13 = e2
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (157), (169),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (240), (242), (246), (355), (407), (409),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430), (435), (1396), (1642), (1652), (1673),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678), (function-axioms) are inconsistent by
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1100.
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1679) gives:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_58_14 = e2 & op(e0, e1) = e2
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1680) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) all_58_14 = e2
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (165), (227), (228),
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426), (1438), (1588), (1681), (function-axioms)
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1097.
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) all_58_15 = e2 & op(e0, e0) = e2
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1682) implies:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) op(e0, e0) = e2
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1673), (1683), (function-axioms) are
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.88/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (409), (451), (1684),
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1685) gives:
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_58_6 = e3 & op(e1, e3) = e3
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1686) implies:
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_58_6 = e3
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426), (1608), (1687) are inconsistent by
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1270.
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) all_58_12 = e3 & op(e0, e3) = e3
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1652), (1688) are inconsistent by sub-proof
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1096.
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) all_58_10 = e3 & op(e2, e0) = e3
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1462), (1689) are inconsistent by sub-proof
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1884.
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (410), (451), (1690),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) all_58_7 = e1 & op(e1, e2) = e1
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1691) implies:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) all_58_7 = e1
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1603), (1692) imply:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) e1 = e0
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1693) implies:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) e1 = e0
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1636), (1694) imply:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_58_3 = e0
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (45), (51), (76), (91), (94),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (100), (110), (112), (113), (125), (128), (133),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (157), (158), (160),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (169), (170), (189), (190),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (200), (201),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (214), (216), (217), (218), (219), (220),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (233), (234), (235), (236), (237),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (254), (255), (256), (257), (258),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (269), (280), (282), (298), (316), (328),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (351), (355), (358), (373), (384), (391),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392), (393), (394), (404), (406), (407), (408),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (409), (410), (426), (430), (435), (451), (1388),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390), (1392), (1393), (1394), (1396), (1403),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408), (1410), (1414), (1434), (1435), (1436),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437), (1438), (1439), (1447), (1448), (1452),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695), (function-axioms) are inconsistent by
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1196.
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (426), (1608), (1696) are inconsistent
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1558.
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1697) gives:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) all_58_5 = e1 & op(e2, e1) = e1
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1588), (1698) are inconsistent by sub-proof
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1890.
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_58_10 = e1 & op(e2, e0) = e1
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1462), (1699) are inconsistent by sub-proof
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1416.
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_58_13 = e0 & op(e0, e2) = e0
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1700) implies:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_58_13 = e0
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) op(e0, e2) = e0
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1703) gives:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_58_2 = e1 & op(e2, e3) = e1
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1704) implies:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_58_2 = e1
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1706) gives:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_58_12 = e3 & op(e0, e3) = e3
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1707) implies:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_58_12 = e3
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1709) gives:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) all_58_9 = e3 & op(e3, e0) = e3
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1710) implies:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_58_9 = e3
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1712) gives:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) all_58_0 = e0 & op(e3, e3) = e0
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1713) implies:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) op(e3, e3) = e0
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1396), (1714), (function-axioms) are
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) all_58_1 = e0 & op(e3, e2) = e0
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1715) implies:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) all_58_1 = e0
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (76),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (94), (100), (110), (112), (113), (125),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (133), (135), (136), (139), (140), (157),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (165), (169), (170),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (195), (197),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (203), (214), (216), (217), (218),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (232), (233), (234), (235),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (254), (255), (256),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (258), (267), (269), (280), (282), (298),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316), (328), (350), (351), (355), (358), (373),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384), (391), (392), (393), (394), (404), (406),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (408), (409), (410), (426), (430), (435),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (1388), (1390), (1392), (1393), (1394),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1403), (1408), (1410), (1414), (1434),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435), (1436), (1437), (1438), (1439), (1443),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447), (1448), (1452), (1462), (1705), (1716),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1109.
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (163), (165), (169), (216), (217), (218),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (232), (233), (234), (235),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (239), (240), (241), (242), (243),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (355), (358), (407), (408), (409),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410), (426), (430), (435), (451), (1392), (1396),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438), (1443), (1462), (1588), (1701), (1702),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708), (1711), (1717), (function-axioms) are
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1095.
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) all_58_10 = e3 & op(e2, e0) = e3
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1462), (1718) are inconsistent by sub-proof
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1884.
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (410), (451), (1719),
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) all_58_13 = e3 & op(e0, e2) = e3
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1720) implies:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) op(e0, e2) = e3
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1702), (1721), (function-axioms) are
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1584.
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (409), (451), (1722),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_58_3 = e1 & op(e2, e2) = e1
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1723) implies:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_58_3 = e1
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) op(e2, e2) = e1
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1726) gives:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_58_12 = e3 & op(e0, e3) = e3
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1727) implies:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) all_58_12 = e3
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1729) gives:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_58_9 = e3 & op(e3, e0) = e3
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1730) implies:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) all_58_9 = e3
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1732) gives:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_58_0 = e0 & op(e3, e3) = e0
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1733) implies:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) op(e3, e3) = e0
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1396), (1734), (function-axioms) are
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) all_58_1 = e0 & op(e3, e2) = e0
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1735) implies:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_58_1 = e0
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (76),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (94), (100), (110), (112), (113), (125),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (133), (135), (136), (139), (140), (157),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (165), (169), (170),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (195), (197),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (203), (214), (216), (217), (218),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (232), (233), (234), (235),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (254), (255), (256),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (258), (267), (269), (280), (282), (298),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316), (328), (350), (351), (355), (358), (373),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384), (391), (392), (393), (394), (404), (406),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (408), (409), (410), (426), (430), (435),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (1388), (1390), (1392), (1393), (1394),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1403), (1408), (1410), (1414), (1434),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435), (1436), (1437), (1438), (1439), (1443),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447), (1448), (1452), (1462), (1724), (1725),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736), (function-axioms) are inconsistent by
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1104.
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (163), (165), (169), (216), (217), (218),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (232), (233), (234), (235),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (239), (240), (241), (242), (243),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (355), (358), (407), (408), (409),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410), (426), (430), (435), (451), (1392), (1396),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438), (1443), (1462), (1588), (1701), (1702),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728), (1731), (1737), (function-axioms) are
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1095.
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_58_10 = e3 & op(e2, e0) = e3
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1462), (1738) are inconsistent by sub-proof
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1884.
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (410), (451), (1739),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_58_13 = e3 & op(e0, e2) = e3
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1740) implies:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) op(e0, e2) = e3
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1702), (1741), (function-axioms) are
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1584.
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (409), (451), (1742),
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (1462), (1588), (1743) are inconsistent
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1094.
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | (1744) all_58_10 = e2 & op(e2, e0) = e2
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1462), (1744) are inconsistent by sub-proof
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | | #1521.
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | End of split
% 198.01/32.60 | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | Case 2:
% 198.01/32.60 | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | (1745) all_16_2 = e3
% 198.01/32.60 | | | | | | | | | | | | | | | (1746) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 198.01/32.60 | | | | | | | | | | | | | | | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 198.01/32.60 | | | | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0)))
% 198.01/32.60 | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | ALPHA: (1746) implies:
% 198.01/32.60 | | | | | | | | | | | | | | | (1747) op(e3, e2) = all_16_1
% 198.01/32.60 | | | | | | | | | | | | | | | (1748) ~ (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 198.01/32.60 | | | | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0))
% 198.01/32.60 | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | COMBINE_EQS: (345), (1745) imply:
% 198.01/32.60 | | | | | | | | | | | | | | | (1749) all_6_2 = e3
% 198.01/32.60 | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | COMBINE_EQS: (349), (1749) imply:
% 198.01/32.60 | | | | | | | | | | | | | | | (1750) all_38_2 = e3
% 198.01/32.60 | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | COMBINE_EQS: (354), (1749) imply:
% 198.01/32.60 | | | | | | | | | | | | | | | (1751) all_56_13 = e3
% 198.01/32.60 | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | REDUCE: (374), (1749) imply:
% 198.01/32.60 | | | | | | | | | | | | | | | (1752) ~ (all_52_4 = e3)
% 198.01/32.60 | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | REDUCE: (378), (1749) imply:
% 198.01/32.60 | | | | | | | | | | | | | | | (1753) ~ (all_52_7 = e3)
% 198.01/32.60 | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | REDUCE: (382), (1749) imply:
% 198.01/32.60 | | | | | | | | | | | | | | | (1754) ~ (all_52_13 = e3)
% 198.01/32.60 | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 198.01/32.60 | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | Case 1:
% 198.01/32.60 | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | (1755) ~ (all_38_2 = e3)
% 198.01/32.60 | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | REDUCE: (1750), (1755) imply:
% 198.01/32.60 | | | | | | | | | | | | | | | | (1756) $false
% 198.01/32.60 | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | CLOSE: (1756) is inconsistent.
% 198.01/32.60 | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | Case 2:
% 198.01/32.60 | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | (1757) op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 198.01/32.60 | | | | | | | | | | | | | | | | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0,
% 198.01/32.60 | | | | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 198.01/32.60 | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | ALPHA: (1757) implies:
% 198.01/32.60 | | | | | | | | | | | | | | | | (1758) op(e3, e2) = all_38_1
% 198.01/32.60 | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 198.01/32.60 | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.60 | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | (1759) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 198.01/32.60 | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 198.01/32.60 | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | BETA: splitting (1759) gives:
% 198.01/32.60 | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.60 | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | (1760) all_58_0 = e3 & op(e3, e3) = e3
% 198.01/32.60 | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (1760), (function-axioms) are
% 198.01/32.60 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 198.01/32.60 | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.60 | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | (1761) all_58_1 = e3 & op(e3, e2) = e3
% 198.01/32.60 | | | | | | | | | | | | | | | | | |
% 198.01/32.60 | | | | | | | | | | | | | | | | | | ALPHA: (1761) implies:
% 198.01/32.60 | | | | | | | | | | | | | | | | | | (1762) all_58_1 = e3
% 198.01/32.60 | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (160),
% 198.01/32.61 | | | | | | | | | | | | | | | | | | (164), (165), (219), (222), (223), (224), (225),
% 198.01/32.61 | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 198.01/32.61 | | | | | | | | | | | | | | | | | | (241), (242), (243), (244), (408), (409), (410),
% 198.01/32.61 | | | | | | | | | | | | | | | | | | (426), (451), (1754), (1762), (function-axioms)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1388.
% 198.01/32.61 | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | End of split
% 198.01/32.61 | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.61 | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | (1763) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 198.01/32.61 | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | BETA: splitting (1763) gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.61 | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | (1764) all_58_4 = e3 & op(e3, e1) = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | ALPHA: (1764) implies:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | (1765) op(e3, e1) = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (407), (430), (435), (1765),
% 198.01/32.61 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.61 | | | | | | | | | | | | | | | | | | #1930.
% 198.01/32.61 | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.61 | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | (1766) all_58_9 = e3 & op(e3, e0) = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | ALPHA: (1766) implies:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | (1767) all_58_9 = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | (1768) op(e3, e0) = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | (1769) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | BETA: splitting (1769) gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | (1770) all_58_0 = e3 & op(e3, e3) = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (1770), (function-axioms) are
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | (1771) all_58_2 = e3 & op(e2, e3) = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | ALPHA: (1771) implies:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | (1772) all_58_2 = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (45), (157), (158),
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | (219), (239), (241), (409), (451), (1396), (1753),
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | (1772), (function-axioms) are inconsistent by
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | sub-proof #1093.
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.61 | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | (1773) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | BETA: splitting (1773) gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | (1774) all_58_6 = e3 & op(e1, e3) = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | ALPHA: (1774) implies:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | (1775) all_58_6 = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (223), (224),
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | (225), (426), (1392), (1775), (function-axioms)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1269.
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | (1776) all_58_12 = e3 & op(e0, e3) = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | ALPHA: (1776) implies:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | (1777) all_58_12 = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | (1778) op(e0, e3) = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | (1779) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1779) gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1780) all_58_2 = e3 & op(e2, e3) = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1780) implies:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1781) all_58_2 = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (239), (241), (243),
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1777), (1781), (function-axioms) are inconsistent
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1382.
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1782) all_58_3 = e3 & op(e2, e2) = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1782) implies:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1783) all_58_3 = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (1778) gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1784) all_52_3 = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (1768) gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1785) all_52_12 = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | all_16_1, e2, e3, simplifying with (170), (1747)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1786) all_52_4 = all_16_1
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | all_38_1, e2, e3, simplifying with (170), (1758)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1787) all_52_4 = all_38_1
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1786), (1787) imply:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1788) all_38_1 = all_16_1
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1784) imply:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1789) ~ (all_52_11 = e3)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1752), (1786) imply:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1790) ~ (all_16_1 = e3)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1785) imply:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1791) ~ (all_52_13 = e3)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1785) imply:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1792) ~ (all_52_14 = e3)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (448), (1785) imply:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1793) ~ (all_32_1 = e3)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (1785) imply:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | (1794) ~ (all_10_2 = e3)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | (1795) ~ (all_30_2 = e2)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (1795) imply:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | (1796) ~ (all_10_2 = e2)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | (1797) all_54_15 = e3
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (451), (1797) are inconsistent by sub-proof
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | #1381.
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | (1798) ~ (all_54_15 = e3)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | (1799) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1799) gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1800) all_54_15 = e2
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (1796), (1800) are inconsistent by
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1380.
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1801) ~ (all_54_15 = e2)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1802) all_54_15 = e1 | all_54_15 = e0
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1802) gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_54_15 = e1
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (1803) imply:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) all_10_2 = e1
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1804) implies:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_10_2 = e1
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (1805) imply:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_56_15 = e1
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (391), (1805) imply:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) ~ (all_52_11 = e1)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (451), (1805) imply:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) ~ (e3 = e1)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1796), (1805) imply:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) ~ (e2 = e1)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1805) imply:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) op(e0, e0) = e1
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1811) gives:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1390), (1747), (1790), (1812), (function-axioms)
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1091.
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1813) implies:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) op(e0, e1) = all_56_11
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) op(e2, e1) = all_56_4
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) op(e3, e1) = all_56_1
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1, e2)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7))
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) all_56_11 = e3 | ( ~ (all_56_9 = e1) & op(e0, e3)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) ~ (all_56_15 = e1) | all_56_11 = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1817) gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) all_56_14 = e2
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (404), (1820) imply:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) e3 = e2
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1767), (1821) imply:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) all_58_9 = e2
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (407), (430), (435), (1396),
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822), (function-axioms) are inconsistent by
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1254.
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) ~ (all_56_14 = e2)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) ~ (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1824) implies:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) ~ (all_56_7 = e1)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) op(e1, e2) = all_56_7
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1819) gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) ~ (all_56_15 = e1)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1806), (1827) imply:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) $false
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1828) is inconsistent.
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) all_56_11 = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1814), (1829) imply:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) op(e0, e1) = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1818) gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) all_56_11 = e3
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1829), (1831) imply:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) e3 = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1832) imply:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) $false
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1833) is inconsistent.
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) ~ (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1834) implies:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) ~ (all_56_9 = e1)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) op(e0, e3) = all_56_9
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (1830) gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) all_52_11 = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_9,
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (1778), (1836) gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) all_56_9 = e3
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7, e2, e1, simplifying with (162), (1826)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) all_56_7 = all_52_6
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4, e1, e2, simplifying with (165), (1815)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) all_56_4 = all_52_9
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1,
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_1, e1, e3, simplifying with (430), (1816)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) all_56_1 = all_32_1
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (1837) imply:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) ~ (all_32_1 = e0)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1842) implies:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) ~ (all_32_1 = e0)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (1837) imply:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) ~ (e3 = e0)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1807), (1837) imply:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) ~ (e1 = e0)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) all_58_15 = e0 & op(e0, e0) = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (1846), (function-axioms) are
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1847) implies:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1849) gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) all_58_1 = e1 & op(e3, e2) = e1
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1850) implies:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) all_58_1 = e1
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) op(e3, e2) = e1
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1853) gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) all_58_0 = e0 & op(e3, e3) = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1854) implies:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) op(e3, e3) = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (162), (165),
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (218), (221), (222), (224), (227), (228),
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (235), (241), (242), (243),
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (407), (410), (426), (430), (435),
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (436), (440), (1747), (1748), (1767), (1777),
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783), (1810), (1843), (1848), (1851), (1852),
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855), (function-axioms) are inconsistent by
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1336.
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) all_58_1 = e0 & op(e3, e2) = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1851), (1856) are inconsistent by sub-proof
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1575.
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1857) gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) all_58_4 = e0 & op(e3, e1) = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1858) implies:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) op(e3, e1) = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (1843), (1859), (function-axioms) are
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1905.
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_58_9 = e0 & op(e3, e0) = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1860) implies:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) all_58_9 = e0
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1767), (1861) are inconsistent by sub-proof
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1606.
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) all_58_3 = e1 & op(e2, e2) = e1
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1783), (1862) are inconsistent by sub-proof
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1367.
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1863) gives:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) all_58_7 = e1 & op(e1, e2) = e1
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1864) implies:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) op(e1, e2) = e1
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1825), (1826), (1865), (function-axioms) are
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1789.
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) all_58_13 = e1 & op(e0, e2) = e1
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1866) implies:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) all_58_13 = e1
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (216),
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (358), (409), (1810), (1867),
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1118.
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1868) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1869) implies:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) op(e3, e0) = all_56_2
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0, e2)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) all_56_2 = e2 | ( ~ (all_56_0 = e0) & op(e3, e2) =
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1872) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) all_56_15 = e3
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1806), (1874) are inconsistent by sub-proof
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1090.
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) ~ (all_56_15 = e3)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1876) implies:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) ~ (all_56_9 = e0)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) op(e0, e3) = all_56_9
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1871) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) all_56_15 = e2
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1806), (1879) are inconsistent by sub-proof
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1089.
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) ~ (all_56_15 = e2)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) ~ (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1881) implies:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) ~ (all_56_10 = e0)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) op(e0, e2) = all_56_10
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_9,
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (1778), (1878) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) all_56_9 = e3
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_2,
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (1768), (1870) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_56_2 = e3
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) all_58_15 = e0 & op(e0, e0) = e0
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (1886), (function-axioms) are
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1887) implies:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1888) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_58_12 = e0 & op(e0, e3) = e0
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1777), (1890) are inconsistent by sub-proof
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1532.
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1891) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) all_58_13 = e0 & op(e0, e2) = e0
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1892) implies:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) op(e0, e2) = e0
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1882), (1883), (1893), (function-axioms) are
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1333.
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) all_58_14 = e0 & op(e0, e1) = e0
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1894) implies:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_58_14 = e0
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1896) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) all_58_4 = e2 & op(e3, e1) = e2
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1897) implies:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) all_58_4 = e2
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) op(e3, e1) = e2
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1900) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) all_58_0 = e1 & op(e3, e3) = e1
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1901) implies:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) op(e3, e3) = e1
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1396), (1902), (function-axioms) are
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_58_1 = e1 & op(e3, e2) = e1
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1903) implies:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) all_58_1 = e1
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) op(e3, e2) = e1
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1906) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) all_58_1 = e2 & op(e3, e2) = e2
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1904), (1907) are inconsistent by sub-proof
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1629.
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) all_58_3 = e2 & op(e2, e2) = e2
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1908) implies:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) all_58_3 = e2
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (407), (430), (435), (1396),
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767), (1783), (1909), (function-axioms) are
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1162.
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1910) gives:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_58_7 = e2 & op(e1, e2) = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1911) implies:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) all_58_7 = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1913) gives:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) all_58_12 = e2 & op(e0, e3) = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1914) implies:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_58_12 = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (165), (169), (216), (217), (218), (219),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (228), (229),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (239),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (245), (246), (355), (358),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (408), (409), (410), (426), (430), (435),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (1396), (1915), (function-axioms) are
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_58_13 = e2 & op(e0, e2) = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1916) implies:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) all_58_13 = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (165), (169), (216), (218), (219),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (224), (228), (229), (231), (233),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (240), (241), (242), (243), (244), (246),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (358), (407), (409), (410), (426), (430),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435), (436), (440), (1396), (1747), (1748),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767), (1777), (1783), (1810), (1873), (1882),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883), (1885), (1895), (1898), (1899), (1904),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905), (1912), (1917), (function-axioms) are
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1918) gives:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_58_14 = e2 & op(e0, e1) = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1919) implies:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) all_58_14 = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1895), (1920) imply:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) e2 = e0
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1898), (1921) imply:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_58_4 = e0
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (228), (229), (426),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895), (1922) are inconsistent by sub-proof
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1892.
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) all_58_15 = e2 & op(e0, e0) = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1923) implies:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) op(e0, e0) = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1810), (1924), (function-axioms) are
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_58_13 = e2 & op(e0, e2) = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1925) implies:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_58_13 = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1927) gives:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) all_58_6 = e2 & op(e1, e3) = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1928) implies:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) op(e1, e3) = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1392), (1929), (function-axioms) are
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) all_58_7 = e2 & op(e1, e2) = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1930) implies:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) all_58_7 = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (165), (169), (216), (218), (219),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (224), (228), (229), (231), (233),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (240), (241), (242), (243), (244), (246),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (358), (407), (409), (410), (426), (430),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435), (436), (440), (1396), (1747), (1748),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767), (1777), (1783), (1810), (1873), (1882),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883), (1885), (1895), (1898), (1899), (1904),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905), (1926), (1931), (function-axioms) are
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1932) gives:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_58_8 = e2 & op(e1, e1) = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (407), (426), (430), (435),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1767), (1933), (function-axioms) are
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1166.
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) all_58_11 = e2 & op(e1, e0) = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1934) implies:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) all_58_11 = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1936) gives:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_58_4 = e1 & op(e3, e1) = e1
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1937) implies:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_58_4 = e1
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1898), (1938) imply:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) e2 = e1
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1935), (1939) imply:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) all_58_11 = e1
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (1767), (1810),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889), (1940), (function-axioms) are inconsistent
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1297.
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_58_5 = e1 & op(e2, e1) = e1
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (157), (160),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (165), (169), (218), (219), (221), (222),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (228), (229), (231), (233), (235), (240),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (244), (246), (355), (407),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (409), (410), (426), (430), (435), (436), (440),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1747), (1748), (1767), (1777), (1783),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810), (1873), (1885), (1895), (1898), (1899),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904), (1905), (1926), (1941), (function-axioms)
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1088.
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (218),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (426), (1777), (1810), (1942),
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1087.
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1943) gives:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_58_4 = e1 & op(e3, e1) = e1
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1898), (1944) are inconsistent by sub-proof
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1766.
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) all_58_9 = e1 & op(e3, e0) = e1
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1767), (1945) are inconsistent by sub-proof
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1762.
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) all_58_5 = e2 & op(e2, e1) = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1946) implies:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) all_58_5 = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1948) gives:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_58_1 = e2 & op(e3, e2) = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1949) implies:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) all_58_1 = e2
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (163), (216),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (223), (224), (225), (228), (235), (236),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (240), (358), (426), (1392), (1396),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767), (1777), (1783), (1810), (1873), (1882),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883), (1885), (1947), (1951), (function-axioms)
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1084.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1952) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) all_58_8 = e2 & op(e1, e1) = e2
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (407), (426), (430), (435),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1767), (1953), (function-axioms) are
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1166.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_58_11 = e2 & op(e1, e0) = e2
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1954) implies:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) all_58_11 = e2
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1956) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_58_1 = e1 & op(e3, e2) = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1957) implies:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_58_1 = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1950), (1958) imply:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) e2 = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1955), (1959) imply:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) all_58_11 = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (1767), (1810),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889), (1960), (function-axioms) are inconsistent
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1297.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_58_3 = e1 & op(e2, e2) = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1783), (1961) are inconsistent by sub-proof
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1367.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1962) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_58_7 = e1 & op(e1, e2) = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1963) implies:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) all_58_7 = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (9), (235), (1783), (1873), (1882),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883), (1885), (1964), (function-axioms) are
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1307.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) all_58_13 = e1 & op(e0, e2) = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1965) implies:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_58_13 = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (218), (1777), (1810), (1895),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966), (function-axioms) are inconsistent by
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1174.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) all_58_3 = e2 & op(e2, e2) = e2
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (407), (430), (435), (1396),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767), (1783), (1967), (function-axioms) are
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1083.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1968) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) all_58_7 = e2 & op(e1, e2) = e2
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (218),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (228), (235), (236), (237),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (240), (358), (426), (1396), (1767),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777), (1783), (1810), (1873), (1882), (1883),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885), (1947), (1969), (function-axioms) are
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1085.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_58_13 = e2 & op(e0, e2) = e2
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1970) implies:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_58_13 = e2
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (163), (216),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (223), (224), (225), (228), (235), (236),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (240), (358), (426), (1392), (1396),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767), (1777), (1783), (1810), (1873), (1882),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883), (1885), (1947), (1972), (function-axioms)
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1084.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1973) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) all_58_8 = e2 & op(e1, e1) = e2
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (407), (426), (430), (435),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1767), (1974), (function-axioms) are
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) all_58_11 = e2 & op(e1, e0) = e2
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1975) implies:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) all_58_11 = e2
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1977) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) all_58_2 = e1 & op(e2, e3) = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1978) implies:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) all_58_2 = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1980) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_58_0 = e0 & op(e3, e3) = e0
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1981) implies:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) op(e3, e3) = e0
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1396), (1982), (function-axioms) are
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_58_2 = e0 & op(e2, e3) = e0
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1979), (1983) are inconsistent by sub-proof
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1082.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1984) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) all_58_6 = e0 & op(e1, e3) = e0
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1985) implies:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) all_58_6 = e0
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1987) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_58_6 = e1 & op(e1, e3) = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1986), (1988) are inconsistent by sub-proof
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1836.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_58_7 = e1 & op(e1, e2) = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1989) implies:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_58_7 = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (9), (235), (1783), (1873), (1882),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883), (1885), (1990), (function-axioms) are
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1307.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1991) gives:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_58_8 = e1 & op(e1, e1) = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (426), (1992) are inconsistent by sub-proof
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1888.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) all_58_11 = e1 & op(e1, e0) = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1993) implies:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_58_11 = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (1767), (1810),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889), (1994), (function-axioms) are inconsistent
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1297.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) all_58_12 = e0 & op(e0, e3) = e0
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1995) implies:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_58_12 = e0
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (157), (169),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (240), (242), (246), (355), (407), (409),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430), (435), (1396), (1767), (1810), (1971),
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996), (function-axioms) are inconsistent by
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1100.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) all_58_3 = e1 & op(e2, e2) = e1
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1783), (1997) are inconsistent by sub-proof
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1367.
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1998) gives:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) all_58_5 = e1 & op(e2, e1) = e1
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1999) implies:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_58_5 = e1
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1947), (2000) imply:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) e2 = e1
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2001) implies:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) e2 = e1
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1976), (2002) imply:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_58_11 = e1
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (1767), (1810),
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889), (2003), (function-axioms) are inconsistent
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1297.
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_58_10 = e1 & op(e2, e0) = e1
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2004) implies:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_58_10 = e1
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2006) gives:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_58_0 = e0 & op(e3, e3) = e0
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2007) implies:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) op(e3, e3) = e0
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1396), (2008), (function-axioms) are
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) all_58_1 = e0 & op(e3, e2) = e0
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1873), (1885), (2009), (function-axioms) are
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1309.
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2010) gives:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) all_58_4 = e0 & op(e3, e1) = e0
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2011) implies:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) all_58_4 = e0
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (228), (229), (426),
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895), (2012) are inconsistent by sub-proof
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1892.
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_58_9 = e0 & op(e3, e0) = e0
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (234), (239),
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (243), (408), (1767), (1777), (1783),
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005), (2013), (function-axioms) are inconsistent
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1081.
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2014) gives:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_58_8 = e2 & op(e1, e1) = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (407), (426), (430), (435),
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1767), (2015), (function-axioms) are
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_58_14 = e2 & op(e0, e1) = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2016) implies:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) all_58_14 = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1895), (2017) are inconsistent by sub-proof
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1769.
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1387), (1414), (1751), (2018), (function-axioms)
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1080.
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) all_54_15 = e0
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (358), (2019) are inconsistent by sub-proof
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | #1323.
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | (2020) all_30_2 = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | (2021) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0)))
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2021) implies:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | (2022) op(e2, e0) = all_30_1
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (2020) imply:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | (2023) all_10_2 = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2023) implies:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | (2024) all_10_2 = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (2024) imply:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | (2025) all_42_2 = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (2024) imply:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | (2026) all_56_15 = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (2024) imply:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | (2027) ~ (all_52_13 = e2)
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (2024) imply:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | (2028) op(e0, e0) = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | (2029) ~ (all_42_2 = e2)
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2025), (2029) imply:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | (2030) $false
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2030) is inconsistent.
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | (2031) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2031) implies:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | (2032) op(e2, e0) = all_42_1
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | (2033) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2033) gives:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) all_58_2 = e2 & op(e2, e3) = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2034) implies:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) all_58_2 = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (239), (241), (1396),
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (1777), (2035), (function-axioms) are inconsistent
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1235.
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_58_3 = e2 & op(e2, e2) = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (407), (430), (435), (1396),
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (1767), (1783), (2036), (function-axioms) are
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1083.
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | (2037) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2037) gives:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) all_58_5 = e2 & op(e2, e1) = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2038) implies:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) all_58_5 = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) op(e2, e1) = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2041) gives:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_58_6 = e2 & op(e1, e3) = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2042) implies:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) op(e1, e3) = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1392), (2043), (function-axioms) are
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) all_58_7 = e2 & op(e1, e2) = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2044) implies:
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_58_7 = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) op(e1, e2) = e2
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 198.01/32.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (2046) gives:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) all_52_6 = e2
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (2022)
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) all_52_13 = all_30_1
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (2032)
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_52_13 = all_42_1
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (2040) gives:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_52_9 = e2
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2048), (2049) imply:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_42_1 = all_30_1
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (2048) imply:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) all_54_7 = all_30_1
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (2047) imply:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) ~ (all_52_14 = e2)
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2053) implies:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) ~ (all_52_14 = e2)
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1412), (2050) imply:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) ~ (all_14_1 = e2)
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (2048) imply:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) ~ (all_52_14 = all_30_1)
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2056) implies:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) ~ (all_52_14 = all_30_1)
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1754), (2048) imply:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) ~ (all_30_1 = e3)
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2027), (2048) imply:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) ~ (all_30_1 = e2)
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_54_2 = e3
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (450), (2060) are inconsistent by sub-proof
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1879.
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) all_54_14 = e3
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (2062) imply:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) all_52_11 = e3
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (2063) imply:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) $false
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2064) is inconsistent.
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) all_54_11 = e3
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (2066) imply:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) all_52_14 = e3
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (410), (2067) imply:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) $false
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2068) is inconsistent.
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) all_54_7 = e3
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2052), (2058), (2070) are inconsistent by
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1079.
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2072) gives:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2073) implies:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) op(e0, e2) = all_56_10
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2, e1)
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_4 & $i(all_56_4))
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_56_10 = e1 | ( ~ (all_56_11 = e2) & op(e0, e1)
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) ~ (all_56_15 = e2) | all_56_10 = e0
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (118), (125), (157), (158), (165),
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (255), (270), (408), (430), (436), (440),
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441), (444), (446), (1751), (2026), (2061),
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065), (2074), (2075), (2076), (2077),
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1292.
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2078) implies:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) op(e2, e1) = all_56_4
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) all_56_14 = e0 | ( ~ (all_56_8 = e1) & op(e1, e0)
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_8 & $i(all_56_8))
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1, e2)
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7))
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0) =
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 & $i(all_56_5))
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2080) gives:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) all_56_14 = e0
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (404), (2083) imply:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) e3 = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2084) imply:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) $false
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2085) is inconsistent.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) ~ (all_56_14 = e0)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) ~ (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2087) implies:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) ~ (all_56_8 = e1)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) op(e1, e0) = all_56_8
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2081) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_56_14 = e2
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (404), (2090) imply:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) e3 = e2
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1767), (2091) imply:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) all_58_9 = e2
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (407), (430), (435), (1396),
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092), (function-axioms) are inconsistent by
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1254.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) ~ (all_56_14 = e2)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) ~ (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2094) implies:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) ~ (all_56_7 = e1)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) op(e1, e2) = all_56_7
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8, e0, e1, simplifying with (160), (2089)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) all_56_8 = all_52_14
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_56_7,
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (2046), (2096) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) all_56_7 = e2
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_56_4,
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (2040), (2079) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) all_56_4 = e2
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2088), (2097) imply:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) ~ (all_52_14 = e1)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2101) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) all_58_9 = e1 & op(e3, e0) = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1767), (2102) are inconsistent by sub-proof
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1762.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) all_58_10 = e1 & op(e2, e0) = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2103) implies:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) all_58_10 = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) op(e2, e0) = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2106) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) all_58_2 = e0 & op(e2, e3) = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2107) implies:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_58_2 = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2109) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) all_58_6 = e1 & op(e1, e3) = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (223), (224),
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (232), (234), (239), (241), (243), (408),
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426), (1777), (1783), (2039), (2045), (2082),
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099), (2105), (2108), (2110), (function-axioms)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1075.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) all_58_7 = e1 & op(e1, e2) = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2111) implies:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) op(e1, e2) = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2095), (2096), (2112), (function-axioms) are
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1789.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2113) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_58_8 = e1 & op(e1, e1) = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (426), (2114) are inconsistent by sub-proof
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1894.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_58_11 = e1 & op(e1, e0) = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2115) implies:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) all_58_11 = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2117) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) all_58_0 = e1 & op(e3, e3) = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2118) implies:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) op(e3, e3) = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1396), (2119), (function-axioms) are
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_58_2 = e1 & op(e2, e3) = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2120) implies:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) all_58_2 = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2108), (2121) imply:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) e1 = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2122) implies:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) e1 = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2116), (2123) imply:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) all_58_11 = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (224), (225), (426),
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045), (2082), (2099), (2105), (2124),
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1076.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2125) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) all_58_6 = e1 & op(e1, e3) = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (223), (224),
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (232), (234), (239), (241), (243), (408),
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426), (1777), (1783), (2039), (2045), (2082),
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099), (2105), (2108), (2126), (function-axioms)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1075.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) all_58_12 = e1 & op(e0, e3) = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2127) implies:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) all_58_12 = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1777), (2128) are inconsistent by sub-proof
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1673.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) all_58_3 = e0 & op(e2, e2) = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2129) implies:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) all_58_3 = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (234), (239),
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (243), (408), (1777), (2104), (2130),
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1209.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2131) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) all_58_5 = e0 & op(e2, e1) = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2039), (2132) are inconsistent by sub-proof
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1320.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) all_58_10 = e0 & op(e2, e0) = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2104), (2133) are inconsistent by sub-proof
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1074.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2134) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) all_58_11 = e1 & op(e1, e0) = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2135) implies:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_58_11 = e1
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2137) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) all_58_6 = e0 & op(e1, e3) = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2138) implies:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) all_58_6 = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2082) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) all_56_4 = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2099), (2140) imply:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) e2 = e0
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (224), (225), (426),
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045), (2139), (2141) are inconsistent by
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1073.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) ~ (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2142) implies:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) ~ (all_56_5 = e1)
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) op(e2, e0) = all_56_5
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2069) gives:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) all_54_11 = e2
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (2145) imply:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) all_52_14 = e2
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2054), (2146) imply:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) $false
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2147) is inconsistent.
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) all_54_11 = e1 | all_54_11 = e0
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2148) gives:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) all_54_11 = e1
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (2149) imply:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_52_14 = e1
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2100), (2150) imply:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) $false
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2151) is inconsistent.
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) all_54_11 = e0
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (2152) imply:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) all_52_14 = e0
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2057), (2153) imply:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) ~ (all_30_1 = e0)
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2154) implies:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) ~ (all_30_1 = e0)
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2022), (2052), (2059), (2071), (2143), (2144),
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155), (function-axioms) are inconsistent by
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1072.
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_58_7 = e0 & op(e1, e2) = e0
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2045), (2156) are inconsistent by sub-proof
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1358.
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2157) gives:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) all_58_8 = e0 & op(e1, e1) = e0
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (426), (2158) are inconsistent by sub-proof
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1902.
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) all_58_11 = e0 & op(e1, e0) = e0
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2136), (2159) are inconsistent by sub-proof
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1298.
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) all_58_15 = e1 & op(e0, e0) = e1
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2160) implies:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) op(e0, e0) = e1
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2028), (2161), (function-axioms) are
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2162) gives:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2163) implies:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) op(e2, e0) = all_56_5
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) op(e3, e0) = all_56_2
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) all_56_15 = e1 | ( ~ (all_56_11 = e0) & op(e0, e1)
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0, e2)
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3)
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1) =
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_1 & $i(all_56_1))
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) all_56_2 = e2 | ( ~ (all_56_0 = e0) & op(e3, e2) =
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) ~ (all_56_13 = e0) | all_56_5 = e2
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2166) gives:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) all_56_15 = e1
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2026), (2172) imply:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) e2 = e1
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2173) implies:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) e2 = e1
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2045), (2174) imply:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) all_58_7 = e1
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (235), (1768), (1778), (1783),
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165), (2167), (2168), (2170), (2172), (2175),
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1306.
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) ~ (all_56_15 = e1)
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) ~ (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2177) implies:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) ~ (all_56_11 = e0)
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) op(e0, e1) = all_56_11
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2168) gives:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) all_56_15 = e3
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2026), (2180) imply:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) e3 = e2
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1767), (2181) imply:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) all_58_9 = e2
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (407), (430), (435), (1396),
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182), (function-axioms) are inconsistent by
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1254.
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_30_1,
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e0, e2, simplifying with (2022), (2164)
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) all_56_5 = all_30_1
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_2,
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (1768), (2165) gives:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) all_56_2 = e3
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2185) gives:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) all_58_4 = e0 & op(e3, e1) = e0
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2186) implies:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) op(e3, e1) = e0
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2169) gives:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) all_56_2 = e1
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2184), (2188) imply:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) e3 = e1
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2189) implies:
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) e3 = e1
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2190) imply:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) $false
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2191) is inconsistent.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1)
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2192) implies:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) ~ (all_56_1 = e0)
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) op(e3, e1) = all_56_1
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2187), (2193), (2194), (function-axioms) are
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1071.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) all_58_5 = e0 & op(e2, e1) = e0
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2039), (2195) are inconsistent by sub-proof
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1320.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2196) gives:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) all_58_8 = e0 & op(e1, e1) = e0
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2197) implies:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) all_58_8 = e0
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (2198) imply:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) e3 = e0
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1751), (2199) imply:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) all_56_13 = e0
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (164), (2022), (2025), (2027), (2164),
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171), (2200), (function-axioms) are inconsistent
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1423.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) all_58_14 = e0 & op(e0, e1) = e0
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2201) implies:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) op(e0, e1) = e0
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2178), (2179), (2202), (function-axioms) are
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1318.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1387), (1414), (1751), (2203), (function-axioms)
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1080.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2204) gives:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_58_8 = e2 & op(e1, e1) = e2
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (407), (426), (430), (435),
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396), (1767), (2205), (function-axioms) are
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_58_11 = e2 & op(e1, e0) = e2
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2206) implies:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) all_58_11 = e2
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) all_58_15 = e0 & op(e0, e0) = e0
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (2208), (function-axioms) are
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2209) implies:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2211) gives:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) all_58_9 = e1 & op(e3, e0) = e1
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1767), (2212) are inconsistent by sub-proof
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1762.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_58_10 = e1 & op(e2, e0) = e1
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2213) implies:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) all_58_10 = e1
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2210) gives:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) all_58_9 = e0 & op(e3, e0) = e0
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (234), (239),
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (243), (408), (1767), (1777), (1783),
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214), (2215), (function-axioms) are inconsistent
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1081.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2216) gives:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) all_58_10 = e0 & op(e2, e0) = e0
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2217) implies:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_58_10 = e0
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (220), (1767), (2028), (2207),
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218), (function-axioms) are inconsistent by
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) all_58_11 = e0 & op(e1, e0) = e0
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2219) implies:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) all_58_11 = e0
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2207), (2220) imply:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) e2 = e0
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2221) imply:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) $false
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2222) is inconsistent.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2028), (2207), (2223), (function-axioms) are
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1353.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) all_58_10 = e2 & op(e2, e0) = e2
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2224) implies:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) op(e2, e0) = e2
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (164), (2022), (2025), (2027), (2225),
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | | #1424.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | (2226) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (408), (1754), (2226),
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | | #1399.
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | | |
% 198.01/32.70 | | | | | | | | | | | | | | End of split
% 198.01/32.70 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | Case 2:
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | (2227) all_58_2 = e2 & op(e2, e3) = e2
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | ALPHA: (2227) implies:
% 198.01/32.71 | | | | | | | | | | | | | | (2228) all_58_2 = e2
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 198.01/32.71 | | | | | | | | | | | | | | (245), (355), (1396), (2228), (function-axioms)
% 198.01/32.71 | | | | | | | | | | | | | | are inconsistent by sub-proof #1234.
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | End of split
% 198.01/32.71 | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | Case 2:
% 198.01/32.71 | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | (2229) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 198.01/32.71 | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 198.01/32.71 | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | BETA: splitting (2229) gives:
% 198.01/32.71 | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | Case 1:
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | (2230) all_58_6 = e2 & op(e1, e3) = e2
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | ALPHA: (2230) implies:
% 198.01/32.71 | | | | | | | | | | | | | | (2231) op(e1, e3) = e2
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | REF_CLOSE: (163), (1392), (2231), (function-axioms) are
% 198.01/32.71 | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | Case 2:
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | (2232) all_58_12 = e2 & op(e0, e3) = e2
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | ALPHA: (2232) implies:
% 198.01/32.71 | | | | | | | | | | | | | | (2233) all_58_12 = e2
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 198.01/32.71 | | | | | | | | | | | | | | (160), (165), (169), (216), (217), (218), (219),
% 198.01/32.71 | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (228), (229),
% 198.01/32.71 | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (239),
% 198.01/32.71 | | | | | | | | | | | | | | (240), (241), (242), (245), (246), (355), (358),
% 198.01/32.71 | | | | | | | | | | | | | | (407), (408), (409), (410), (426), (430), (435),
% 198.01/32.71 | | | | | | | | | | | | | | (451), (1396), (2233), (function-axioms) are
% 198.01/32.71 | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | End of split
% 198.01/32.71 | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | End of split
% 198.01/32.71 | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | End of split
% 198.01/32.71 | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | End of split
% 198.01/32.71 | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | Case 2:
% 198.01/32.71 | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | (2234) all_10_2 = e3
% 198.01/32.71 | | | | | | | | | | (2235) op(e3, e0) = all_10_1 & $i(all_10_1) & ( ~
% 198.01/32.71 | | | | | | | | | | (all_10_1 = e2) | ( ~ (all_10_0 = e1) & op(e2,
% 198.01/32.71 | | | | | | | | | | e0) = all_10_0 & $i(all_10_0)))
% 198.01/32.71 | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | ALPHA: (2235) implies:
% 198.01/32.71 | | | | | | | | | | (2236) op(e3, e0) = all_10_1
% 198.01/32.71 | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | COMBINE_EQS: (337), (2234) imply:
% 198.01/32.71 | | | | | | | | | | (2237) all_24_2 = e3
% 198.01/32.71 | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | COMBINE_EQS: (254), (2234) imply:
% 198.01/32.71 | | | | | | | | | | (2238) all_56_15 = e3
% 198.01/32.71 | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | REDUCE: (373), (2234) imply:
% 198.01/32.71 | | | | | | | | | | (2239) ~ (all_52_3 = e3)
% 198.01/32.71 | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | REDUCE: (392), (2234) imply:
% 198.01/32.71 | | | | | | | | | | (2240) ~ (all_52_12 = e3)
% 198.01/32.71 | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | BETA: splitting (246) gives:
% 198.01/32.71 | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | Case 1:
% 198.01/32.71 | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | (2241) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 198.01/32.71 | | | | | | | | | | | & op(e3, e2) = e3)
% 198.01/32.71 | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | BETA: splitting (2241) gives:
% 198.01/32.71 | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | Case 1:
% 198.01/32.71 | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | (2242) all_58_0 = e3 & op(e3, e3) = e3
% 198.01/32.71 | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | REF_CLOSE: (51), (355), (2242), (function-axioms) are
% 198.01/32.71 | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 198.01/32.71 | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | Case 2:
% 198.01/32.71 | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | (2243) all_58_1 = e3 & op(e3, e2) = e3
% 198.01/32.71 | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | ALPHA: (2243) implies:
% 198.01/32.71 | | | | | | | | | | | | (2244) all_58_1 = e3
% 198.01/32.71 | | | | | | | | | | | | (2245) op(e3, e2) = e3
% 198.01/32.71 | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | BETA: splitting (67) gives:
% 198.01/32.71 | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | Case 1:
% 198.01/32.71 | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | (2246) ~ (all_24_2 = e3)
% 198.01/32.71 | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | REDUCE: (2237), (2246) imply:
% 198.01/32.71 | | | | | | | | | | | | | (2247) $false
% 198.01/32.71 | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | CLOSE: (2247) is inconsistent.
% 198.01/32.71 | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | Case 2:
% 198.01/32.71 | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | (2248) op(e3, e0) = all_24_1 & $i(all_24_1) & ( ~
% 198.01/32.71 | | | | | | | | | | | | | (all_24_1 = e1) | ( ~ (all_24_0 = e2) & op(e1,
% 198.01/32.71 | | | | | | | | | | | | | e0) = all_24_0 & $i(all_24_0)))
% 198.01/32.71 | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | ALPHA: (2248) implies:
% 198.01/32.71 | | | | | | | | | | | | | (2249) op(e3, e0) = all_24_1
% 198.01/32.71 | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | BETA: splitting (219) gives:
% 198.01/32.71 | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | Case 1:
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | (2250) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 198.01/32.71 | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | BETA: splitting (2250) gives:
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | Case 1:
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | (2251) all_58_12 = e3 & op(e0, e3) = e3
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | ALPHA: (2251) implies:
% 198.01/32.71 | | | | | | | | | | | | | | | (2252) op(e0, e3) = e3
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | REF_CLOSE: (159), (2239), (2252), (function-axioms) are
% 198.01/32.71 | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | Case 2:
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | (2253) all_58_13 = e3 & op(e0, e2) = e3
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | ALPHA: (2253) implies:
% 198.01/32.71 | | | | | | | | | | | | | | | (2254) all_58_13 = e3
% 198.01/32.71 | | | | | | | | | | | | | | | (2255) op(e0, e2) = e3
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (235), (236), (237),
% 198.01/32.71 | | | | | | | | | | | | | | | (2244), (2254), (2255), (function-axioms) are
% 198.01/32.71 | | | | | | | | | | | | | | | inconsistent by sub-proof #1390.
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | End of split
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | Case 2:
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | (2256) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 198.01/32.71 | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | BETA: splitting (2256) gives:
% 198.01/32.71 | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | Case 1:
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | (2257) all_58_14 = e3 & op(e0, e1) = e3
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | ALPHA: (2257) implies:
% 198.01/32.71 | | | | | | | | | | | | | | | (2258) op(e0, e1) = e3
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | REF_CLOSE: (157), (409), (2258), (function-axioms) are
% 198.01/32.71 | | | | | | | | | | | | | | | inconsistent by sub-proof #1841.
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | Case 2:
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | (2259) all_58_15 = e3 & op(e0, e0) = e3
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | ALPHA: (2259) implies:
% 198.01/32.71 | | | | | | | | | | | | | | | (2260) all_58_15 = e3
% 198.01/32.71 | | | | | | | | | | | | | | | (2261) op(e0, e0) = e3
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 198.01/32.71 | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | Case 1:
% 198.01/32.71 | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | (2262) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 198.01/32.71 | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 198.01/32.71 | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | BETA: splitting (2262) gives:
% 198.01/32.71 | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2263) all_58_0 = e3 & op(e3, e3) = e3
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (2263), (function-axioms) are
% 198.01/32.71 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2264) all_58_2 = e3 & op(e2, e3) = e3
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | ALPHA: (2264) implies:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2265) all_58_2 = e3
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2266) op(e2, e3) = e3
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 198.01/32.71 | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (2266) gives:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2267) all_52_1 = e3
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 198.01/32.71 | | | | | | | | | | | | | | | | | all_10_1, e0, e3, simplifying with (168), (2236)
% 198.01/32.71 | | | | | | | | | | | | | | | | | gives:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2268) all_52_12 = all_10_1
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 198.01/32.71 | | | | | | | | | | | | | | | | | all_24_1, e0, e3, simplifying with (168), (2249)
% 198.01/32.71 | | | | | | | | | | | | | | | | | gives:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2269) all_52_12 = all_24_1
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 198.01/32.71 | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (2245) gives:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2270) all_52_4 = e3
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2268), (2269) imply:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2271) all_24_1 = all_10_1
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | SIMP: (2271) implies:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2272) all_24_1 = all_10_1
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (2268) imply:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2273) all_54_3 = all_10_1
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | REDUCE: (146), (2267) imply:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2274) ~ (all_52_9 = e3)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | REDUCE: (145), (2267) imply:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2275) ~ (all_52_13 = e3)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | SIMP: (2275) implies:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2276) ~ (all_52_13 = e3)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | REDUCE: (135), (2270) imply:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2277) ~ (all_52_7 = e3)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | SIMP: (2277) implies:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2278) ~ (all_52_7 = e3)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | REDUCE: (442), (2270) imply:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2279) ~ (all_32_1 = e3)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | REDUCE: (366), (2270) imply:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2280) ~ (all_14_2 = e3)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | REDUCE: (374), (2270) imply:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2281) ~ (all_6_2 = e3)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | SIMP: (2281) implies:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2282) ~ (all_6_2 = e3)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | REDUCE: (113), (2268) imply:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2283) ~ (all_52_13 = all_10_1)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | SIMP: (2283) implies:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2284) ~ (all_52_13 = all_10_1)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | REDUCE: (448), (2268) imply:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2285) ~ (all_32_1 = all_10_1)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | SIMP: (2285) implies:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2286) ~ (all_32_1 = all_10_1)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | REDUCE: (370), (2268) imply:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2287) ~ (all_14_2 = all_10_1)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | SIMP: (2287) implies:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2288) ~ (all_14_2 = all_10_1)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | REDUCE: (2240), (2268) imply:
% 198.01/32.71 | | | | | | | | | | | | | | | | | (2289) ~ (all_10_1 = e3)
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 198.01/32.71 | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.71 | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | (2290) all_54_5 = e3
% 198.01/32.71 | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (2282), (2290) are inconsistent by
% 198.01/32.71 | | | | | | | | | | | | | | | | | | sub-proof #1928.
% 198.01/32.71 | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.71 | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | (2291) ~ (all_54_5 = e3)
% 198.01/32.71 | | | | | | | | | | | | | | | | | | (2292) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 198.01/32.71 | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | BETA: splitting (2292) gives:
% 198.01/32.71 | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.71 | | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | (2293) all_54_5 = e2
% 198.01/32.71 | | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (356), (2293) are inconsistent by sub-proof
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | #1927.
% 198.01/32.71 | | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.71 | | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | (2294) ~ (all_54_5 = e2)
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | (2295) all_54_5 = e1 | all_54_5 = e0
% 198.01/32.71 | | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | BETA: splitting (2295) gives:
% 198.01/32.71 | | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | | (2296) all_54_5 = e1
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (396), (2296) are inconsistent by sub-proof
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | | #1926.
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | | (2297) all_54_5 = e0
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (2297) imply:
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | | (2298) all_6_2 = e0
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | | SIMP: (2298) implies:
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | | (2299) all_6_2 = e0
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (2299) imply:
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | | (2300) all_20_2 = e0
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.71 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (2299) imply:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | (2301) all_26_2 = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (2299) imply:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | (2302) all_56_13 = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (2299) imply:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | (2303) ~ (all_52_7 = e0)
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (2299) imply:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | (2304) ~ (all_52_9 = e0)
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (2299) imply:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | (2305) ~ (all_52_13 = e0)
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (2282), (2299) imply:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | (2306) ~ (e3 = e0)
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (2299) imply:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | (2307) ~ (e2 = e0)
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (2299) imply:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | (2308) ~ (e1 = e0)
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2299) imply:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | (2309) op(e2, e2) = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | (2310) ~ (all_20_2 = e0)
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2300), (2310) imply:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | (2311) $false
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2311) is inconsistent.
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | (2312) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | e2) = all_20_0 & $i(all_20_0)))
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2312) implies:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | (2313) op(e0, e2) = all_20_1
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | (2314) ~ (all_26_2 = e0)
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2301), (2314) imply:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | (2315) $false
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2315) is inconsistent.
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | (2316) op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | e2) = all_26_0 & $i(all_26_0)))
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2316) implies:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | (2317) op(e0, e2) = all_26_1
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | (2318) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2318) gives:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (2319) all_58_2 = e0 & op(e2, e3) = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2265), (2319) are inconsistent by sub-proof
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | #1387.
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (2320) all_58_3 = e0 & op(e2, e2) = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2320) implies:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (2321) all_58_3 = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (52),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (73), (82), (85), (97), (110), (117), (118),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (125), (157), (158), (159), (160), (162), (163),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (197), (198), (201), (202),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (204), (214), (216), (217), (218), (219), (220),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (236), (237), (238), (239),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (245), (246),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (290), (292), (300), (323), (332),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (334), (355), (358), (362), (364), (404), (407),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (408), (409), (410), (426), (430), (431), (435),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (441), (444), (449), (450), (2236), (2238),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (2244), (2245), (2260), (2261), (2265), (2266),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (2273), (2276), (2278), (2284), (2286), (2288),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (2289), (2302), (2303), (2304), (2305), (2313),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (2317), (2321), (function-axioms) are inconsistent
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1036.
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | (2322) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2322) gives:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (2323) all_58_5 = e0 & op(e2, e1) = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2323) implies:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (2324) op(e2, e1) = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2304), (2324), (function-axioms) are
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (2325) all_58_10 = e0 & op(e2, e0) = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2325) implies:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | (2326) all_58_10 = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | (2327) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2327) gives:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) all_58_2 = e2 & op(e2, e3) = e2
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2265), (2328) are inconsistent by sub-proof
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) all_58_3 = e2 & op(e2, e2) = e2
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2329) implies:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) all_58_3 = e2
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) op(e2, e2) = e2
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2309), (2331) gives:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) e2 = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2330), (2332) imply:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) all_58_3 = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (52),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (73), (82), (85), (97), (110), (117), (118),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (157), (158), (159), (160), (162), (163),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (197), (198), (201), (202),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (214), (216), (217), (218), (219), (220),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (236), (237), (238), (239),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (245), (246),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (290), (292), (300), (323), (332),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (334), (355), (358), (362), (364), (404), (407),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (409), (410), (426), (430), (431), (435),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (441), (444), (449), (450), (2236), (2238),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2244), (2245), (2260), (2261), (2265), (2266),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2273), (2276), (2278), (2284), (2286), (2288),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2289), (2302), (2303), (2304), (2305), (2313),
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2317), (2333), (function-axioms) are inconsistent
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1036.
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | (2334) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2334) gives:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) all_58_5 = e2 & op(e2, e1) = e2
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2335) implies:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_58_5 = e2
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2337) gives:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) all_58_2 = e1 & op(e2, e3) = e1
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2265), (2338) are inconsistent by sub-proof
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1901.
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) all_58_3 = e1 & op(e2, e2) = e1
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2339) implies:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) all_58_3 = e1
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) op(e2, e2) = e1
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e2,
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2309), (2341) gives:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) e1 = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2340), (2342) imply:
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) all_58_3 = e0
% 198.01/32.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (52),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (73), (82), (85), (97), (110), (117), (118),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (157), (158), (159), (160), (162), (163),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (197), (198), (201), (202),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (214), (216), (217), (218), (219), (220),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (236), (237), (238), (239),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (245), (246),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (290), (292), (300), (323), (332),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (334), (355), (358), (362), (364), (404), (407),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (409), (410), (426), (430), (431), (435),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441), (444), (449), (450), (2236), (2238),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244), (2245), (2260), (2261), (2265), (2266),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273), (2276), (2278), (2284), (2286), (2288),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289), (2302), (2303), (2304), (2305), (2313),
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317), (2343), (function-axioms) are inconsistent
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1036.
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (2326), (2336), (2344) are inconsistent
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1094.
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) all_58_10 = e2 & op(e2, e0) = e2
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2345) implies:
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) all_58_10 = e2
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2326), (2346) are inconsistent by sub-proof
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | | #1886.
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | Case 2:
% 198.01/32.73 | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | (2347) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 198.01/32.73 | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 198.01/32.73 | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | BETA: splitting (2347) gives:
% 198.01/32.73 | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.73 | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | (2348) all_58_6 = e3 & op(e1, e3) = e3
% 198.01/32.73 | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | ALPHA: (2348) implies:
% 198.01/32.73 | | | | | | | | | | | | | | | | | (2349) op(e1, e3) = e3
% 198.01/32.73 | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 198.01/32.73 | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (2349) gives:
% 198.01/32.73 | | | | | | | | | | | | | | | | | (2350) all_52_2 = e3
% 198.01/32.73 | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | REDUCE: (405), (2350) imply:
% 198.01/32.73 | | | | | | | | | | | | | | | | | (2351) $false
% 198.01/32.73 | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | CLOSE: (2351) is inconsistent.
% 198.01/32.73 | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.73 | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | (2352) all_58_12 = e3 & op(e0, e3) = e3
% 198.01/32.73 | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | ALPHA: (2352) implies:
% 198.01/32.73 | | | | | | | | | | | | | | | | | (2353) op(e0, e3) = e3
% 198.01/32.73 | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 198.01/32.73 | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (2353) gives:
% 198.01/32.73 | | | | | | | | | | | | | | | | | (2354) all_52_3 = e3
% 198.01/32.73 | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | REDUCE: (2239), (2354) imply:
% 198.01/32.73 | | | | | | | | | | | | | | | | | (2355) $false
% 198.01/32.73 | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | | CLOSE: (2355) is inconsistent.
% 198.01/32.73 | | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | Case 2:
% 198.01/32.73 | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | (2356) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 198.01/32.73 | | | | | | | | | | | & op(e3, e0) = e3)
% 198.01/32.73 | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | BETA: splitting (2356) gives:
% 198.01/32.73 | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | Case 1:
% 198.01/32.73 | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | (2357) all_58_4 = e3 & op(e3, e1) = e3
% 198.01/32.73 | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | ALPHA: (2357) implies:
% 198.01/32.73 | | | | | | | | | | | | (2358) op(e3, e1) = e3
% 198.01/32.73 | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | REF_CLOSE: (169), (407), (430), (435), (2358),
% 198.01/32.73 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.73 | | | | | | | | | | | | #1930.
% 198.01/32.73 | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | Case 2:
% 198.01/32.73 | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | (2359) all_58_9 = e3 & op(e3, e0) = e3
% 198.01/32.73 | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | ALPHA: (2359) implies:
% 198.01/32.73 | | | | | | | | | | | | (2360) op(e3, e0) = e3
% 198.01/32.73 | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | | REF_CLOSE: (67), (168), (2236), (2237), (2240), (2360),
% 198.01/32.73 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.73 | | | | | | | | | | | | #1034.
% 198.01/32.73 | | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | | |
% 198.01/32.73 | | | | | | | | | End of split
% 198.01/32.73 | | | | | | | | |
% 198.01/32.73 | | | | | | | | End of split
% 198.01/32.73 | | | | | | | |
% 198.01/32.73 | | | | | | | End of split
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | Case 2:
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | (2361) all_58_14 = e3 & op(e0, e1) = e3
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | ALPHA: (2361) implies:
% 198.01/32.73 | | | | | | | (2362) op(e0, e1) = e3
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | REF_CLOSE: (157), (409), (2362), (function-axioms) are
% 198.01/32.73 | | | | | | | inconsistent by sub-proof #1841.
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | End of split
% 198.01/32.73 | | | | | |
% 198.01/32.73 | | | | | End of split
% 198.01/32.73 | | | | |
% 198.01/32.73 | | | | Case 2:
% 198.01/32.73 | | | | |
% 198.01/32.73 | | | | | (2363) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 198.01/32.73 | | | | |
% 198.01/32.73 | | | | | REF_CLOSE: (296), (357), (395), (398), (2363) are inconsistent by
% 198.01/32.73 | | | | | sub-proof #1033.
% 198.01/32.73 | | | | |
% 198.01/32.73 | | | | End of split
% 198.01/32.73 | | | |
% 198.01/32.73 | | | Case 2:
% 198.01/32.73 | | | |
% 198.01/32.73 | | | | (2364) all_8_2 = e2
% 198.01/32.73 | | | | (2365) op(e2, e1) = all_8_1 & $i(all_8_1) & ( ~ (all_8_1 = e0) | ( ~
% 198.01/32.73 | | | | (all_8_0 = e3) & op(e0, e1) = all_8_0 & $i(all_8_0)))
% 198.01/32.73 | | | |
% 198.01/32.73 | | | | ALPHA: (2365) implies:
% 198.01/32.73 | | | | (2366) op(e2, e1) = all_8_1
% 198.01/32.73 | | | | (2367) ~ (all_8_1 = e0) | ( ~ (all_8_0 = e3) & op(e0, e1) = all_8_0
% 198.01/32.73 | | | | & $i(all_8_0))
% 198.01/32.73 | | | |
% 198.01/32.73 | | | | COMBINE_EQS: (347), (2364) imply:
% 198.01/32.73 | | | | (2368) all_4_2 = e2
% 198.01/32.73 | | | |
% 198.01/32.73 | | | | COMBINE_EQS: (318), (2368) imply:
% 198.01/32.73 | | | | (2369) all_48_2 = e2
% 198.01/32.73 | | | |
% 198.01/32.73 | | | | COMBINE_EQS: (266), (2368) imply:
% 198.01/32.73 | | | | (2370) all_56_14 = e2
% 198.01/32.73 | | | |
% 198.01/32.73 | | | | REDUCE: (372), (2368) imply:
% 198.01/32.73 | | | | (2371) ~ (all_52_2 = e2)
% 198.01/32.73 | | | |
% 198.01/32.73 | | | | REDUCE: (383), (2368) imply:
% 198.01/32.73 | | | | (2372) ~ (all_52_6 = e2)
% 198.01/32.73 | | | |
% 198.01/32.73 | | | | REDUCE: (385), (2368) imply:
% 198.01/32.73 | | | | (2373) ~ (all_52_8 = e2)
% 198.01/32.73 | | | |
% 198.01/32.73 | | | | REDUCE: (386), (2368) imply:
% 198.01/32.73 | | | | (2374) ~ (all_52_9 = e2)
% 198.01/32.73 | | | |
% 198.01/32.73 | | | | REDUCE: (388), (2368) imply:
% 198.01/32.73 | | | | (2375) ~ (all_52_11 = e2)
% 198.01/32.73 | | | |
% 198.01/32.73 | | | | REDUCE: (390), (2368) imply:
% 198.01/32.73 | | | | (2376) ~ (all_52_14 = e2)
% 198.01/32.73 | | | |
% 198.01/32.73 | | | | BETA: splitting (225) gives:
% 198.01/32.73 | | | |
% 198.01/32.73 | | | | Case 1:
% 198.01/32.73 | | | | |
% 198.01/32.73 | | | | | (2377) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2 & op(e1,
% 198.01/32.73 | | | | | e2) = e2)
% 198.01/32.73 | | | | |
% 198.01/32.73 | | | | | BETA: splitting (2377) gives:
% 198.01/32.73 | | | | |
% 198.01/32.73 | | | | | Case 1:
% 198.01/32.73 | | | | | |
% 198.01/32.73 | | | | | | (2378) all_58_6 = e2 & op(e1, e3) = e2
% 198.01/32.73 | | | | | |
% 198.01/32.73 | | | | | | ALPHA: (2378) implies:
% 198.01/32.73 | | | | | | (2379) op(e1, e3) = e2
% 198.01/32.73 | | | | | |
% 198.01/32.73 | | | | | | REF_CLOSE: (163), (2371), (2379), (function-axioms) are inconsistent
% 198.01/32.73 | | | | | | by sub-proof #1271.
% 198.01/32.73 | | | | | |
% 198.01/32.73 | | | | | Case 2:
% 198.01/32.73 | | | | | |
% 198.01/32.73 | | | | | | (2380) all_58_7 = e2 & op(e1, e2) = e2
% 198.01/32.73 | | | | | |
% 198.01/32.73 | | | | | | ALPHA: (2380) implies:
% 198.01/32.73 | | | | | | (2381) op(e1, e2) = e2
% 198.01/32.73 | | | | | |
% 198.01/32.73 | | | | | | REF_CLOSE: (162), (2372), (2381), (function-axioms) are inconsistent
% 198.01/32.73 | | | | | | by sub-proof #1032.
% 198.01/32.73 | | | | | |
% 198.01/32.73 | | | | | End of split
% 198.01/32.73 | | | | |
% 198.01/32.73 | | | | Case 2:
% 198.01/32.73 | | | | |
% 198.01/32.73 | | | | | (2382) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 = e2 & op(e1,
% 198.01/32.73 | | | | | e0) = e2)
% 198.01/32.73 | | | | |
% 198.01/32.73 | | | | | BETA: splitting (2382) gives:
% 198.01/32.73 | | | | |
% 198.01/32.73 | | | | | Case 1:
% 198.01/32.73 | | | | | |
% 198.01/32.73 | | | | | | (2383) all_58_8 = e2 & op(e1, e1) = e2
% 198.01/32.73 | | | | | |
% 198.01/32.73 | | | | | | ALPHA: (2383) implies:
% 198.01/32.73 | | | | | | (2384) all_58_8 = e2
% 198.01/32.73 | | | | | |
% 198.01/32.73 | | | | | | BETA: splitting (103) gives:
% 198.01/32.73 | | | | | |
% 198.01/32.73 | | | | | | Case 1:
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | (2385) ~ (all_48_2 = e2)
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | REDUCE: (2369), (2385) imply:
% 198.01/32.73 | | | | | | | (2386) $false
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | CLOSE: (2386) is inconsistent.
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | Case 2:
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | (2387) op(e2, e1) = all_48_1 & $i(all_48_1) & ( ~ (all_48_1 =
% 198.01/32.73 | | | | | | | e3) | ( ~ (all_48_0 = e0) & op(e3, e1) = all_48_0 &
% 198.01/32.73 | | | | | | | $i(all_48_0)))
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | ALPHA: (2387) implies:
% 198.01/32.73 | | | | | | | (2388) op(e2, e1) = all_48_1
% 198.01/32.73 | | | | | | | (2389) ~ (all_48_1 = e3) | ( ~ (all_48_0 = e0) & op(e3, e1) =
% 198.01/32.73 | | | | | | | all_48_0 & $i(all_48_0))
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 198.01/32.73 | | | | | | | all_8_1, e1, e2, simplifying with (165), (2366)
% 198.01/32.73 | | | | | | | gives:
% 198.01/32.73 | | | | | | | (2390) all_52_9 = all_8_1
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 198.01/32.73 | | | | | | | all_48_1, e1, e2, simplifying with (165), (2388)
% 198.01/32.73 | | | | | | | gives:
% 198.01/32.73 | | | | | | | (2391) all_52_9 = all_48_1
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | COMBINE_EQS: (2390), (2391) imply:
% 198.01/32.73 | | | | | | | (2392) all_48_1 = all_8_1
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | SIMP: (2392) implies:
% 198.01/32.73 | | | | | | | (2393) all_48_1 = all_8_1
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | COMBINE_EQS: (270), (2390) imply:
% 198.01/32.73 | | | | | | | (2394) all_54_6 = all_8_1
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | REDUCE: (146), (2390) imply:
% 198.01/32.73 | | | | | | | (2395) ~ (all_52_1 = all_8_1)
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | REDUCE: (123), (2390) imply:
% 198.01/32.73 | | | | | | | (2396) ~ (all_52_8 = all_8_1)
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | REDUCE: (118), (2390) imply:
% 198.01/32.73 | | | | | | | (2397) ~ (all_52_11 = all_8_1)
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | SIMP: (2397) implies:
% 198.01/32.73 | | | | | | | (2398) ~ (all_52_11 = all_8_1)
% 198.01/32.73 | | | | | | |
% 198.01/32.73 | | | | | | | REDUCE: (117), (2390) imply:
% 198.01/32.74 | | | | | | | (2399) ~ (all_52_13 = all_8_1)
% 198.01/32.74 | | | | | | |
% 198.01/32.74 | | | | | | | SIMP: (2399) implies:
% 198.01/32.74 | | | | | | | (2400) ~ (all_52_13 = all_8_1)
% 198.01/32.74 | | | | | | |
% 198.01/32.74 | | | | | | | REDUCE: (380), (2390) imply:
% 198.01/32.74 | | | | | | | (2401) ~ (all_8_1 = all_6_2)
% 198.01/32.74 | | | | | | |
% 198.01/32.74 | | | | | | | REDUCE: (2374), (2390) imply:
% 198.01/32.74 | | | | | | | (2402) ~ (all_8_1 = e2)
% 198.01/32.74 | | | | | | |
% 198.01/32.74 | | | | | | | BETA: splitting (46) gives:
% 198.01/32.74 | | | | | | |
% 198.01/32.74 | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | |
% 198.01/32.74 | | | | | | | | (2403) ~ (all_10_2 = e3)
% 198.01/32.74 | | | | | | | |
% 198.01/32.74 | | | | | | | | BETA: splitting (52) gives:
% 198.01/32.74 | | | | | | | |
% 198.01/32.74 | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | |
% 198.01/32.74 | | | | | | | | | (2404) ~ (all_14_2 = e2)
% 198.01/32.74 | | | | | | | | |
% 198.01/32.74 | | | | | | | | | BETA: splitting (55) gives:
% 198.01/32.74 | | | | | | | | |
% 198.01/32.74 | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | (2405) ~ (all_16_2 = e3)
% 198.01/32.74 | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | REDUCE: (345), (2405) imply:
% 198.01/32.74 | | | | | | | | | | (2406) ~ (all_6_2 = e3)
% 198.01/32.74 | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | BETA: splitting (199) gives:
% 198.01/32.74 | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | (2407) all_54_5 = e3
% 198.01/32.74 | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | REF_CLOSE: (275), (2406), (2407) are inconsistent by
% 198.01/32.74 | | | | | | | | | | | sub-proof #1928.
% 198.01/32.74 | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | Case 2:
% 198.01/32.74 | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | (2408) ~ (all_54_5 = e3)
% 198.01/32.74 | | | | | | | | | | | (2409) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 198.01/32.74 | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | BETA: splitting (2409) gives:
% 198.01/32.74 | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | (2410) all_54_5 = e2
% 198.01/32.74 | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | REF_CLOSE: (275), (356), (2410) are inconsistent by sub-proof
% 198.01/32.74 | | | | | | | | | | | | #1927.
% 198.01/32.74 | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | Case 2:
% 198.01/32.74 | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | (2411) ~ (all_54_5 = e2)
% 198.01/32.74 | | | | | | | | | | | | (2412) all_54_5 = e1 | all_54_5 = e0
% 198.01/32.74 | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | BETA: splitting (2412) gives:
% 198.01/32.74 | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | (2413) all_54_5 = e1
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | REF_CLOSE: (275), (396), (2413) are inconsistent by sub-proof
% 198.01/32.74 | | | | | | | | | | | | | #1926.
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | Case 2:
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | (2414) all_54_5 = e0
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | COMBINE_EQS: (275), (2414) imply:
% 198.01/32.74 | | | | | | | | | | | | | (2415) all_6_2 = e0
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | SIMP: (2415) implies:
% 198.01/32.74 | | | | | | | | | | | | | (2416) all_6_2 = e0
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | COMBINE_EQS: (348), (2416) imply:
% 198.01/32.74 | | | | | | | | | | | | | (2417) all_20_2 = e0
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | COMBINE_EQS: (310), (2416) imply:
% 198.01/32.74 | | | | | | | | | | | | | (2418) all_26_2 = e0
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | COMBINE_EQS: (354), (2416) imply:
% 198.01/32.74 | | | | | | | | | | | | | (2419) all_56_13 = e0
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | REDUCE: (371), (2416) imply:
% 198.01/32.74 | | | | | | | | | | | | | (2420) ~ (all_52_1 = e0)
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | REDUCE: (374), (2416) imply:
% 198.01/32.74 | | | | | | | | | | | | | (2421) ~ (all_52_4 = e0)
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | REDUCE: (376), (2416) imply:
% 198.01/32.74 | | | | | | | | | | | | | (2422) ~ (all_52_6 = e0)
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | REDUCE: (378), (2416) imply:
% 198.01/32.74 | | | | | | | | | | | | | (2423) ~ (all_52_7 = e0)
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | REDUCE: (382), (2416) imply:
% 198.01/32.74 | | | | | | | | | | | | | (2424) ~ (all_52_13 = e0)
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | REDUCE: (2401), (2416) imply:
% 198.01/32.74 | | | | | | | | | | | | | (2425) ~ (all_8_1 = e0)
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | REDUCE: (2406), (2416) imply:
% 198.01/32.74 | | | | | | | | | | | | | (2426) ~ (e3 = e0)
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | REDUCE: (356), (2416) imply:
% 198.01/32.74 | | | | | | | | | | | | | (2427) ~ (e2 = e0)
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | REDUCE: (396), (2416) imply:
% 198.01/32.74 | | | | | | | | | | | | | (2428) ~ (e1 = e0)
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | REDUCE: (39), (2416) imply:
% 198.01/32.74 | | | | | | | | | | | | | (2429) op(e2, e2) = e0
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | BETA: splitting (61) gives:
% 198.01/32.74 | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | (2430) ~ (all_20_2 = e0)
% 198.01/32.74 | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | REDUCE: (2417), (2430) imply:
% 198.01/32.74 | | | | | | | | | | | | | | (2431) $false
% 198.01/32.74 | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | CLOSE: (2431) is inconsistent.
% 198.01/32.74 | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | Case 2:
% 198.01/32.74 | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | (2432) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 198.01/32.74 | | | | | | | | | | | | | | (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 198.01/32.74 | | | | | | | | | | | | | | e2) = all_20_0 & $i(all_20_0)))
% 198.01/32.74 | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | ALPHA: (2432) implies:
% 198.01/32.74 | | | | | | | | | | | | | | (2433) op(e0, e2) = all_20_1
% 198.01/32.74 | | | | | | | | | | | | | | (2434) ~ (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 198.01/32.74 | | | | | | | | | | | | | | e2) = all_20_0 & $i(all_20_0))
% 198.01/32.74 | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 198.01/32.74 | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | (2435) ~ (all_26_2 = e0)
% 198.01/32.74 | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | REDUCE: (2418), (2435) imply:
% 198.01/32.74 | | | | | | | | | | | | | | | (2436) $false
% 198.01/32.74 | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | CLOSE: (2436) is inconsistent.
% 198.01/32.74 | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | Case 2:
% 198.01/32.74 | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | (2437) op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~
% 198.01/32.74 | | | | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 198.01/32.74 | | | | | | | | | | | | | | | e2) = all_26_0 & $i(all_26_0)))
% 198.01/32.74 | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | ALPHA: (2437) implies:
% 198.01/32.74 | | | | | | | | | | | | | | | (2438) op(e0, e2) = all_26_1
% 198.01/32.74 | | | | | | | | | | | | | | | (2439) ~ (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 198.01/32.74 | | | | | | | | | | | | | | | e2) = all_26_0 & $i(all_26_0))
% 198.01/32.74 | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 198.01/32.74 | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | (2440) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 198.01/32.74 | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 198.01/32.74 | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | BETA: splitting (2440) gives:
% 198.01/32.74 | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | (2441) all_58_2 = e0 & op(e2, e3) = e0
% 198.01/32.74 | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | ALPHA: (2441) implies:
% 198.01/32.74 | | | | | | | | | | | | | | | | | (2442) all_58_2 = e0
% 198.01/32.74 | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 198.01/32.74 | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | (2443) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 198.01/32.74 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.01/32.74 | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2429), (2442), (2443), (function-axioms) are
% 198.01/32.74 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1030.
% 198.01/32.74 | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.74 | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | (2444) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 198.01/32.74 | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 198.01/32.74 | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | BETA: splitting (2444) gives:
% 198.01/32.74 | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | (2445) all_58_5 = e2 & op(e2, e1) = e2
% 198.01/32.74 | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | ALPHA: (2445) implies:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | (2446) all_58_5 = e2
% 198.01/32.74 | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | (2447) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2447) gives:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | (2448) all_58_2 = e1 & op(e2, e3) = e1
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2448) implies:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | (2449) all_58_2 = e1
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2442), (2449) are inconsistent by sub-proof
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | #1419.
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | (2450) all_58_3 = e1 & op(e2, e2) = e1
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2450) implies:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | (2451) all_58_3 = e1
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | (2452) op(e2, e2) = e1
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | (2453) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (2442), (2452), (2453),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | #1028.
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | (2454) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2454) gives:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (2455) all_58_5 = e3 & op(e2, e1) = e3
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2455) implies:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (2456) all_58_5 = e3
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2446), (2456) are inconsistent by sub-proof
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | #1027.
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e2,
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2429), (2452) gives:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (2457) e1 = e0
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2451), (2457) imply:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (2458) all_58_3 = e0
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (73),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (76), (82), (85), (91), (94), (97), (100), (110),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (120), (121), (125), (126), (128),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (148), (149), (157), (158),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (167), (168),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (189), (190), (191), (192), (193),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (197), (198), (200), (201), (202),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (203), (204), (214), (216), (217), (218), (219),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (244), (245), (246), (254),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (255), (256), (257), (258), (267), (268), (269),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (279), (280), (281), (282), (290), (292), (298),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (300), (316), (323), (328), (332), (334), (350),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (351), (355), (358), (360), (362), (364), (366),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (368), (373), (384), (391), (392), (393), (394),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (2366), (2370), (2371), (2373), (2375), (2376),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (2384), (2394), (2395), (2396), (2398), (2400),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (2402), (2403), (2404), (2419), (2420), (2421),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (2422), (2423), (2424), (2425), (2429), (2433),
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | (2434), (2438), (2439), (2458), (function-axioms)
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #761.
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | (2459) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2459) gives:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | (2460) all_58_5 = e1 & op(e2, e1) = e1
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2460) implies:
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | | (2461) all_58_5 = e1
% 198.01/32.74 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2446), (2461) are inconsistent by sub-proof
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | | #1898.
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | | (2462) all_58_10 = e1 & op(e2, e0) = e1
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2462) implies:
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | | (2463) all_58_10 = e1
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (234), (2429), (2442), (2446),
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | | (2463), (function-axioms) are inconsistent by
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | | sub-proof #760.
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.75 | | | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.75 | | | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | (2464) all_58_10 = e2 & op(e2, e0) = e2
% 198.01/32.75 | | | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | ALPHA: (2464) implies:
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | (2465) all_58_10 = e2
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | (2466) op(e2, e0) = e2
% 198.01/32.75 | | | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (234), (2429),
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | (2442), (2465), (2466), (function-axioms) are
% 198.01/32.75 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #756.
% 198.01/32.75 | | | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.75 | | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | End of split
% 198.01/32.75 | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.75 | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | (2467) all_58_3 = e0 & op(e2, e2) = e0
% 198.01/32.75 | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | ALPHA: (2467) implies:
% 198.01/32.75 | | | | | | | | | | | | | | | | | (2468) all_58_3 = e0
% 198.01/32.75 | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (73),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (76), (82), (85), (91), (94), (97), (100), (110),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (112), (113), (120), (121), (125), (126), (128),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (143), (144), (145), (148), (149), (157), (158),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (167), (168),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (169), (170), (189), (190), (191), (192), (193),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (195), (196), (197), (198), (200), (201), (202),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (203), (204), (214), (216), (217), (218), (219),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (241), (242), (243), (244), (245), (246), (254),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (255), (256), (257), (258), (267), (268), (269),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (279), (280), (281), (282), (290), (292), (298),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (300), (316), (323), (328), (332), (334), (350),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (351), (355), (358), (360), (362), (364), (366),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (368), (373), (384), (391), (392), (393), (394),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (2366), (2370), (2371), (2373), (2375), (2376),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (2384), (2394), (2395), (2396), (2398), (2400),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (2402), (2403), (2404), (2419), (2420), (2421),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (2422), (2423), (2424), (2425), (2429), (2433),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (2434), (2438), (2439), (2468), (function-axioms)
% 198.01/32.75 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #761.
% 198.01/32.75 | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | End of split
% 198.01/32.75 | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | Case 2:
% 198.01/32.75 | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | (2469) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 198.01/32.75 | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 198.01/32.75 | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | BETA: splitting (2469) gives:
% 198.01/32.75 | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.75 | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | (2470) all_58_5 = e0 & op(e2, e1) = e0
% 198.01/32.75 | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | ALPHA: (2470) implies:
% 198.01/32.75 | | | | | | | | | | | | | | | | | (2471) op(e2, e1) = e0
% 198.01/32.75 | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | REF_CLOSE: (2366), (2425), (2471), (function-axioms) are
% 198.01/32.75 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #907.
% 198.01/32.75 | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.75 | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | (2472) all_58_10 = e0 & op(e2, e0) = e0
% 198.01/32.75 | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | ALPHA: (2472) implies:
% 198.01/32.75 | | | | | | | | | | | | | | | | | (2473) all_58_10 = e0
% 198.01/32.75 | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (233), (234),
% 198.01/32.75 | | | | | | | | | | | | | | | | | (2429), (2473), (function-axioms) are inconsistent
% 198.01/32.75 | | | | | | | | | | | | | | | | | by sub-proof #755.
% 198.01/32.75 | | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | | End of split
% 198.01/32.75 | | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | End of split
% 198.01/32.75 | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | End of split
% 198.01/32.75 | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | End of split
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | End of split
% 198.01/32.75 | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | End of split
% 198.01/32.75 | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | End of split
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | Case 2:
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | (2474) all_16_2 = e3
% 198.01/32.75 | | | | | | | | | | (2475) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 198.01/32.75 | | | | | | | | | | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 198.01/32.75 | | | | | | | | | | e2) = all_16_0 & $i(all_16_0)))
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | ALPHA: (2475) implies:
% 198.01/32.75 | | | | | | | | | | (2476) op(e3, e2) = all_16_1
% 198.01/32.75 | | | | | | | | | | (2477) ~ (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 198.01/32.75 | | | | | | | | | | e2) = all_16_0 & $i(all_16_0))
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | COMBINE_EQS: (345), (2474) imply:
% 198.01/32.75 | | | | | | | | | | (2478) all_6_2 = e3
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | COMBINE_EQS: (349), (2478) imply:
% 198.01/32.75 | | | | | | | | | | (2479) all_38_2 = e3
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | COMBINE_EQS: (354), (2478) imply:
% 198.01/32.75 | | | | | | | | | | (2480) all_56_13 = e3
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | REDUCE: (371), (2478) imply:
% 198.01/32.75 | | | | | | | | | | (2481) ~ (all_52_1 = e3)
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | REDUCE: (374), (2478) imply:
% 198.01/32.75 | | | | | | | | | | (2482) ~ (all_52_4 = e3)
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | REDUCE: (376), (2478) imply:
% 198.01/32.75 | | | | | | | | | | (2483) ~ (all_52_6 = e3)
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | REDUCE: (378), (2478) imply:
% 198.01/32.75 | | | | | | | | | | (2484) ~ (all_52_7 = e3)
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | REDUCE: (382), (2478) imply:
% 198.01/32.75 | | | | | | | | | | (2485) ~ (all_52_13 = e3)
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | REDUCE: (2401), (2478) imply:
% 198.01/32.75 | | | | | | | | | | (2486) ~ (all_8_1 = e3)
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | REDUCE: (39), (2478) imply:
% 198.01/32.75 | | | | | | | | | | (2487) op(e2, e2) = e3
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | BETA: splitting (88) gives:
% 198.01/32.75 | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | Case 1:
% 198.01/32.75 | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | (2488) ~ (all_38_2 = e3)
% 198.01/32.75 | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | REDUCE: (2479), (2488) imply:
% 198.01/32.75 | | | | | | | | | | | (2489) $false
% 198.01/32.75 | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | CLOSE: (2489) is inconsistent.
% 198.01/32.75 | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | Case 2:
% 198.01/32.75 | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | (2490) op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 198.01/32.75 | | | | | | | | | | | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0,
% 198.01/32.75 | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 198.01/32.75 | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | ALPHA: (2490) implies:
% 198.01/32.75 | | | | | | | | | | | (2491) op(e3, e2) = all_38_1
% 198.01/32.75 | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | BETA: splitting (234) gives:
% 198.01/32.75 | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | Case 1:
% 198.01/32.75 | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | (2492) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 198.01/32.75 | | | | | | | | | | | | & op(e2, e2) = e3)
% 198.01/32.75 | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | BETA: splitting (2492) gives:
% 198.01/32.75 | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | Case 1:
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | (2493) all_58_2 = e3 & op(e2, e3) = e3
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | ALPHA: (2493) implies:
% 198.01/32.75 | | | | | | | | | | | | | (2494) all_58_2 = e3
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 198.01/32.75 | | | | | | | | | | | | | (163), (216), (219), (224), (225), (226), (227),
% 198.01/32.75 | | | | | | | | | | | | | (228), (230), (231), (232), (233), (236), (237),
% 198.01/32.75 | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 198.01/32.75 | | | | | | | | | | | | | (246), (355), (358), (2371), (2384), (2403),
% 198.01/32.75 | | | | | | | | | | | | | (2484), (2487), (2494), (function-axioms) are
% 198.01/32.75 | | | | | | | | | | | | | inconsistent by sub-proof #737.
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | Case 2:
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | (2495) all_58_3 = e3 & op(e2, e2) = e3
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | ALPHA: (2495) implies:
% 198.01/32.75 | | | | | | | | | | | | | (2496) all_58_3 = e3
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 198.01/32.75 | | | | | | | | | | | | | all_16_1, e2, e3, simplifying with (170), (2476)
% 198.01/32.75 | | | | | | | | | | | | | gives:
% 198.01/32.75 | | | | | | | | | | | | | (2497) all_52_4 = all_16_1
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 198.01/32.75 | | | | | | | | | | | | | all_38_1, e2, e3, simplifying with (170), (2491)
% 198.01/32.75 | | | | | | | | | | | | | gives:
% 198.01/32.75 | | | | | | | | | | | | | (2498) all_52_4 = all_38_1
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | COMBINE_EQS: (2497), (2498) imply:
% 198.01/32.75 | | | | | | | | | | | | | (2499) all_38_1 = all_16_1
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | SIMP: (2499) implies:
% 198.01/32.75 | | | | | | | | | | | | | (2500) all_38_1 = all_16_1
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | COMBINE_EQS: (282), (2497) imply:
% 198.01/32.75 | | | | | | | | | | | | | (2501) all_54_1 = all_16_1
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | REDUCE: (136), (2497) imply:
% 198.01/32.75 | | | | | | | | | | | | | (2502) ~ (all_52_6 = all_16_1)
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | SIMP: (2502) implies:
% 198.01/32.75 | | | | | | | | | | | | | (2503) ~ (all_52_6 = all_16_1)
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | REDUCE: (135), (2497) imply:
% 198.01/32.75 | | | | | | | | | | | | | (2504) ~ (all_52_7 = all_16_1)
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | SIMP: (2504) implies:
% 198.01/32.75 | | | | | | | | | | | | | (2505) ~ (all_52_7 = all_16_1)
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | REDUCE: (134), (2497) imply:
% 198.01/32.75 | | | | | | | | | | | | | (2506) ~ (all_52_8 = all_16_1)
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | SIMP: (2506) implies:
% 198.01/32.75 | | | | | | | | | | | | | (2507) ~ (all_52_8 = all_16_1)
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | REDUCE: (133), (2497) imply:
% 198.01/32.75 | | | | | | | | | | | | | (2508) ~ (all_52_12 = all_16_1)
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | SIMP: (2508) implies:
% 198.01/32.75 | | | | | | | | | | | | | (2509) ~ (all_52_12 = all_16_1)
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | REDUCE: (366), (2497) imply:
% 198.01/32.75 | | | | | | | | | | | | | (2510) ~ (all_16_1 = all_14_2)
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | REDUCE: (2482), (2497) imply:
% 198.01/32.75 | | | | | | | | | | | | | (2511) ~ (all_16_1 = e3)
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | BETA: splitting (73) gives:
% 198.01/32.75 | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | Case 1:
% 198.01/32.75 | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | (2512) ~ (all_28_2 = e1)
% 198.01/32.75 | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | REDUCE: (334), (2512) imply:
% 198.01/32.75 | | | | | | | | | | | | | | (2513) ~ (all_14_2 = e1)
% 198.01/32.75 | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 198.01/32.75 | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | Case 1:
% 198.01/32.75 | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | (2514) all_54_0 = e3
% 198.01/32.75 | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | COMBINE_EQS: (292), (2514) imply:
% 198.01/32.75 | | | | | | | | | | | | | | | (2515) all_14_2 = e3
% 198.01/32.75 | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | REDUCE: (355), (2515) imply:
% 198.01/32.75 | | | | | | | | | | | | | | | (2516) $false
% 198.01/32.75 | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | CLOSE: (2516) is inconsistent.
% 198.01/32.75 | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | Case 2:
% 198.01/32.75 | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | (2517) ~ (all_54_0 = e3)
% 198.01/32.75 | | | | | | | | | | | | | | | (2518) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 198.01/32.75 | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | BETA: splitting (2518) gives:
% 198.01/32.75 | | | | | | | | | | | | | | |
% 198.01/32.75 | | | | | | | | | | | | | | | Case 1:
% 198.01/32.75 | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | (2519) all_54_0 = e2
% 198.01/32.76 | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (2519) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | (2520) all_14_2 = e2
% 198.01/32.76 | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | REDUCE: (2404), (2520) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | (2521) $false
% 198.01/32.76 | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | CLOSE: (2521) is inconsistent.
% 198.01/32.76 | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | Case 2:
% 198.01/32.76 | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | (2522) ~ (all_54_0 = e2)
% 198.01/32.76 | | | | | | | | | | | | | | | | (2523) all_54_0 = e1 | all_54_0 = e0
% 198.01/32.76 | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | BETA: splitting (2523) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | (2524) all_54_0 = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (2524) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | (2525) all_14_2 = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | REDUCE: (2513), (2525) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | (2526) $false
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | CLOSE: (2526) is inconsistent.
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | (2527) all_54_0 = e0
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (2527) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | (2528) all_14_2 = e0
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (2528) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | (2529) all_56_12 = e0
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | REDUCE: (362), (2528) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | (2530) ~ (all_52_2 = e0)
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | REDUCE: (368), (2528) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | (2531) ~ (all_52_8 = e0)
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | REDUCE: (370), (2528) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | (2532) ~ (all_52_12 = e0)
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | REDUCE: (2510), (2528) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | (2533) ~ (all_16_1 = e0)
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | REDUCE: (355), (2528) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | (2534) ~ (e3 = e0)
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | REDUCE: (2404), (2528) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | (2535) ~ (e2 = e0)
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | REDUCE: (2513), (2528) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | (2536) ~ (e1 = e0)
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | REDUCE: (51), (2528) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | (2537) op(e3, e3) = e0
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | (2538) ~ (all_30_2 = e2)
% 198.01/32.76 | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | REDUCE: (328), (2538) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | (2539) ~ (all_10_2 = e2)
% 198.01/32.76 | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | (2540) all_54_15 = e3
% 198.01/32.76 | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (2403), (2540) are inconsistent by
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | sub-proof #1381.
% 198.01/32.76 | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | (2541) ~ (all_54_15 = e3)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | (2542) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 198.01/32.76 | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | BETA: splitting (2542) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | (2543) all_54_15 = e2
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (2539), (2543) are inconsistent by
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | sub-proof #1380.
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | (2544) ~ (all_54_15 = e2)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | (2545) all_54_15 = e1 | all_54_15 = e0
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2545) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | (2546) all_54_15 = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (2546) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | (2547) all_10_2 = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | SIMP: (2547) implies:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | (2548) all_10_2 = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (2548) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | (2549) ~ (all_52_12 = e1)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2403), (2548) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | (2550) ~ (e3 = e1)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2539), (2548) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | (2551) ~ (e2 = e1)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (2548) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | (2552) op(e0, e0) = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | (2553) all_54_1 = e3
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2501), (2553) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | (2554) all_16_1 = e3
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2511), (2554) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | (2555) $false
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2555) is inconsistent.
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | (2556) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | (2557) all_54_2 = e3
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (2557) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | (2558) all_52_8 = e3
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2558) implies:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | (2559) all_52_8 = e3
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2559) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | (2560) ~ (all_52_11 = e3)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2560) implies:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | (2561) ~ (all_52_11 = e3)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2559) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | (2562) ~ (all_52_12 = e3)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2562) implies:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | (2563) ~ (all_52_12 = e3)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2507), (2559) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | (2564) ~ (all_16_1 = e3)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2396), (2559) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | (2565) ~ (all_8_1 = e3)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | (2566) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2566) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2567) all_58_0 = e1 & op(e3, e3) = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2567) implies:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2568) op(e3, e3) = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2537), (2568), (function-axioms) are
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2569) all_58_1 = e1 & op(e3, e2) = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2569) implies:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2570) all_58_1 = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (201), (216), (218), (219), (222),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (228), (230), (232), (233),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (237), (241), (243), (244), (245),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (280), (358), (2371), (2384), (2477), (2484),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2485), (2487), (2501), (2509), (2532), (2533),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2537), (2549), (2552), (2556), (2561), (2563),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2570), (function-axioms) are inconsistent by
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #722.
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | (2571) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2571) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2572) all_58_4 = e1 & op(e3, e1) = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2572) implies:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2573) all_58_4 = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (157), (230), (2366), (2384), (2486),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2561), (2573), (function-axioms) are inconsistent
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #720.
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2574) all_58_9 = e1 & op(e3, e0) = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2574) implies:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2575) all_58_9 = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (2576) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2576) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2577) all_58_4 = e3 & op(e3, e1) = e3
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2577) implies:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) all_58_4 = e3
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2579) all_54_3 = e3
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (2563), (2579) are inconsistent by
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1878.
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2580) ~ (all_54_3 = e3)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2581) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2582) all_54_3 = e2
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (2582) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583) all_52_12 = e2
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2583) implies:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2584) all_52_12 = e2
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2509), (2584) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2585) ~ (all_16_1 = e2)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2585) implies:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586) ~ (all_16_1 = e2)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2563), (2584) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2587) ~ (e3 = e2)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2556) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588) all_54_1 = e2
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2501), (2588) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2589) all_16_1 = e2
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2586), (2589) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2590) $false
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2590) is inconsistent.
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2591) ~ (all_54_1 = e2)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) all_54_1 = e1 | all_54_1 = e0
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2592) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_54_1 = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2501), (2593) imply:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) all_16_1 = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2595) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) all_58_1 = e2 & op(e3, e2) = e2
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2596) implies:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_58_1 = e2
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2598) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) all_58_2 = e2 & op(e2, e3) = e2
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2599) implies:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) all_58_2 = e2
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) op(e2, e3) = e2
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (2537), (2601), (2602),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #736.
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2603) gives:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) all_58_6 = e1 & op(e1, e3) = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2604) implies:
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) all_58_6 = e1
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (163), (216), (218), (219), (224), (225),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (231), (232), (233),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (241), (242),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (355), (358), (2366),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371), (2384), (2403), (2484), (2486), (2487),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537), (2552), (2561), (2578), (2597), (2600),
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605), (function-axioms) are inconsistent by
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #715.
% 198.01/32.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) all_58_12 = e1 & op(e0, e3) = e1
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2606) implies:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) all_58_12 = e1
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2608) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) all_58_12 = e2 & op(e0, e3) = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2609) implies:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) all_58_12 = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2607), (2610) imply:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) e2 = e1
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2611) implies:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) e2 = e1
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2597), (2612) imply:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) all_58_1 = e1
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (201), (216), (218), (219), (222),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (228), (230), (232), (233),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (237), (241), (243), (244), (245),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (280), (358), (2371), (2384), (2477), (2484),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485), (2487), (2501), (2509), (2532), (2533),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537), (2549), (2552), (2556), (2561), (2563),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613), (function-axioms) are inconsistent by
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #722.
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) all_58_13 = e2 & op(e0, e2) = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (235), (236),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (241), (243), (245), (2371), (2487),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537), (2597), (2600), (2614), (function-axioms)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #716.
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (227), (228), (2384),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2552), (2578), (2615), (function-axioms) are
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #854.
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) all_58_3 = e2 & op(e2, e2) = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2487), (2616), (function-axioms) are
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (216),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (227), (228), (242), (244), (358),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376), (2384), (2537), (2552), (2575), (2578),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617), (function-axioms) are inconsistent by
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #713.
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) all_58_3 = e2 & op(e2, e2) = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2487), (2618), (function-axioms) are
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2619) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) all_58_7 = e2 & op(e1, e2) = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (163),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (223), (224), (226), (241), (243), (245),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371), (2384), (2484), (2537), (2552), (2561),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620), (function-axioms) are inconsistent by
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #729.
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) all_58_13 = e2 & op(e0, e2) = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2621) implies:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) all_58_13 = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2623) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) all_58_2 = e2 & op(e2, e3) = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2624) implies:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) all_58_2 = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) op(e2, e3) = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (2537), (2626), (2627),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #736.
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2628) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) all_58_6 = e1 & op(e1, e3) = e1
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2629) implies:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) all_58_6 = e1
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (216), (219), (224), (225), (226), (227),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (236), (237),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (355), (358), (2371), (2384), (2403),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2487), (2537), (2631), (function-axioms)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #719.
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2632) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) all_58_6 = e3 & op(e1, e3) = e3
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2633) implies:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) all_58_6 = e3
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2630), (2634) imply:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) e3 = e1
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (157), (230), (2366), (2384), (2486),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561), (2578), (2635), (function-axioms) are
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #718.
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) all_58_12 = e3 & op(e0, e3) = e3
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2636) implies:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) all_58_12 = e3
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) all_58_15 = e0 & op(e0, e0) = e0
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (2638), (function-axioms) are
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2639) implies:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2641) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_58_1 = e0 & op(e3, e2) = e0
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2642) implies:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) all_58_1 = e0
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2644) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) all_58_0 = e2 & op(e3, e3) = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2645) implies:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) op(e3, e3) = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (239), (241), (2625),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637), (2646), (function-axioms) are inconsistent
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1235.
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) all_58_1 = e2 & op(e3, e2) = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2647) implies:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648) all_58_1 = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (163), (216), (218), (219), (224), (225),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (231), (232), (233),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (241), (242),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (355), (358), (2366),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371), (2384), (2403), (2484), (2486), (2487),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537), (2552), (2561), (2578), (2625), (2630),
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648), (function-axioms) are inconsistent by
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #715.
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2649) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2649) gives:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650) all_58_4 = e2 & op(e3, e1) = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2650) implies:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) all_58_4 = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (228), (230),
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (243), (245), (2371), (2384), (2537),
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622), (2625), (2640), (2651), (function-axioms)
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #711.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) all_58_9 = e2 & op(e3, e0) = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2652) implies:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) all_58_9 = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (242), (2537), (2578), (2643),
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653), (function-axioms) are inconsistent by
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #710.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) all_58_3 = e0 & op(e2, e2) = e0
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2654) implies:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) op(e2, e2) = e0
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2487), (2655), (function-axioms) are
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2656) gives:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) all_58_7 = e0 & op(e1, e2) = e0
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2657) implies:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2658) op(e1, e2) = e0
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2477), (2594), (2658), (function-axioms) are
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2659) all_58_13 = e0 & op(e0, e2) = e0
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (2371), (2537), (2622), (2625), (2659),
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #717.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660) all_58_12 = e1 & op(e0, e3) = e1
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2660) implies:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2661) all_58_12 = e1
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2662) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2662) gives:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2663) all_58_12 = e3 & op(e0, e3) = e3
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2663) implies:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2664) all_58_12 = e3
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2661), (2664) imply:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2665) e3 = e1
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (157), (230), (2366), (2384), (2486),
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561), (2578), (2665), (function-axioms) are
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #718.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2666) all_58_13 = e3 & op(e0, e2) = e3
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2666) implies:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2667) op(e0, e2) = e3
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2484), (2667), (function-axioms) are
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2668) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (2552), (2561), (2668),
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1840.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2669) all_58_3 = e2 & op(e2, e2) = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2487), (2669), (function-axioms) are
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (216),
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (227), (228), (242), (244), (358),
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376), (2384), (2537), (2552), (2575), (2578),
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670), (function-axioms) are inconsistent by
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #713.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) all_54_1 = e0
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2501), (2671) imply:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) all_16_1 = e0
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2533), (2672) imply:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) $false
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2673) is inconsistent.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) all_54_3 = e1 | all_54_3 = e0
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (2532), (2549), (2674) are inconsistent by
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1712.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) all_58_5 = e3 & op(e2, e1) = e3
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2366), (2486), (2675), (function-axioms) are
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #721.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2676) gives:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) all_58_8 = e3 & op(e1, e1) = e3
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2384), (2677) are inconsistent by sub-proof
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1005.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) all_58_14 = e3 & op(e0, e1) = e3
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2678) implies:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679) op(e0, e1) = e3
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (2561), (2679), (function-axioms) are
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1841.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | (2680) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (190), (198), (255), (281), (2367),
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | (2373), (2375), (2394), (2396), (2398), (2402),
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | (2486), (2531), (2680), (function-axioms) are
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #708.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | (2681) all_54_15 = e0
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (358), (2681) are inconsistent by sub-proof
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | #1323.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.78 | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | (2682) all_30_2 = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | | (2683) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 198.01/32.78 | | | | | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 198.01/32.78 | | | | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0)))
% 198.01/32.78 | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | ALPHA: (2683) implies:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | (2684) op(e2, e0) = all_30_1
% 198.01/32.78 | | | | | | | | | | | | | | | | | | (2685) ~ (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 198.01/32.78 | | | | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0))
% 198.01/32.78 | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (2682) imply:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | (2686) all_10_2 = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (2686) imply:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | (2687) all_42_2 = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (2686) imply:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | (2688) all_56_15 = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | REDUCE: (393), (2686) imply:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | (2689) ~ (all_52_13 = e2)
% 198.01/32.78 | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | REDUCE: (2403), (2686) imply:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | (2690) ~ (e3 = e2)
% 198.01/32.78 | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | REDUCE: (45), (2686) imply:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | (2691) op(e0, e0) = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 198.01/32.78 | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | (2692) ~ (all_42_2 = e2)
% 198.01/32.78 | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | REDUCE: (2687), (2692) imply:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | (2693) $false
% 198.01/32.78 | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | CLOSE: (2693) is inconsistent.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | (2694) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 198.01/32.78 | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | ALPHA: (2694) implies:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | (2695) op(e2, e0) = all_42_1
% 198.01/32.78 | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | (2696) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2696) gives:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | (2697) all_58_0 = e2 & op(e3, e3) = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2697) implies:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | (2698) op(e3, e3) = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2537), (2698), (function-axioms) are
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | (2699) all_58_1 = e2 & op(e3, e2) = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2699) implies:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | (2700) all_58_1 = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | (2701) op(e3, e2) = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | (2702) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2702) gives:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | | (2703) all_58_2 = e2 & op(e2, e3) = e2
% 198.01/32.78 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (113), (120), (121), (141), (149), (157),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (167), (168), (169),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (190), (193), (196), (197), (198), (201), (202),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (214), (217), (219), (222), (227), (228), (230),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (239), (241), (242), (243), (245),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (246), (255), (258), (268), (269), (280), (281),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (2366), (2367), (2370), (2375), (2384), (2394),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (2395), (2396), (2398), (2400), (2403), (2476),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (2484), (2485), (2486), (2487), (2507), (2509),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (2511), (2530), (2531), (2532), (2533), (2537),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (2684), (2685), (2688), (2689), (2691), (2700),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (2701), (2703), (function-axioms) are inconsistent
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #693.
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (2704) all_58_3 = e2 & op(e2, e2) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2487), (2704), (function-axioms) are
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | (2705) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2705) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (2706) all_58_5 = e2 & op(e2, e1) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2706) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (2707) all_58_5 = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | (2708) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2708) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2709) all_58_0 = e2 & op(e3, e3) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2709) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2710) op(e3, e3) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2537), (2710), (function-axioms) are
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2711) all_58_2 = e2 & op(e2, e3) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (113), (120), (121), (141), (149), (157),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (167), (168), (169),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (190), (193), (196), (197), (198), (201), (202),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (214), (217), (219), (222), (227), (228), (230),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (239), (241), (242), (243), (245),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (246), (255), (258), (268), (269), (280), (281),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2366), (2367), (2370), (2375), (2384), (2394),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2395), (2396), (2398), (2400), (2403), (2476),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2485), (2486), (2487), (2507), (2509),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2511), (2530), (2531), (2532), (2533), (2537),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2684), (2685), (2688), (2689), (2691), (2700),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2701), (2711), (function-axioms) are inconsistent
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #693.
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | (2712) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2712) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2713) all_58_6 = e2 & op(e1, e3) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2713) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2714) op(e1, e3) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2371), (2714), (function-axioms) are
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2715) all_58_12 = e2 & op(e0, e3) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2715) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2716) all_58_12 = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (169), (227),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (241), (243), (245), (2371), (2384),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2531), (2537), (2707), (2716), (function-axioms)
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #691.
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (2717) all_58_10 = e2 & op(e2, e0) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2717) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (2718) op(e2, e0) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2684), (2689), (2695), (2718),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | #1425.
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | (2719) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2719) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | (2720) all_58_4 = e2 & op(e3, e1) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2720) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | (2721) all_58_4 = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (163), (164),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | (169), (216), (223), (224), (226), (227), (228),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | (230), (233), (237), (241), (242), (243), (245),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | (246), (358), (2371), (2384), (2476), (2487),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | (2511), (2531), (2537), (2684), (2689), (2695),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | (2721), (function-axioms) are inconsistent by
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | sub-proof #686.
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | (2722) all_58_9 = e2 & op(e3, e0) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2722) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | (2723) all_58_9 = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | (2724) op(e3, e0) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | (2725) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2476), (2511), (2537), (2725),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | #707.
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | (2726) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2726) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (2727) all_58_4 = e3 & op(e3, e1) = e3
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2727) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | (2728) all_58_4 = e3
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | (2729) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2729) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2730) all_58_0 = e2 & op(e3, e3) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2730) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2731) op(e3, e3) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2537), (2731), (function-axioms) are
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2732) all_58_2 = e2 & op(e2, e3) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2732) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2733) all_58_2 = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2734) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) all_58_0 = e1 & op(e3, e3) = e1
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2735) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) op(e3, e3) = e1
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2537), (2736), (function-axioms) are
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) all_58_1 = e1 & op(e3, e2) = e1
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2737) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) all_58_1 = e1
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (242), (2487), (2537), (2723),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728), (2739), (function-axioms) are inconsistent
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #685.
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2740) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) all_58_7 = e2 & op(e1, e2) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2741) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) all_58_7 = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (163), (164),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (216), (220), (223), (224), (226), (227),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (233), (237), (241), (242), (243),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (358), (2371), (2384),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476), (2487), (2511), (2531), (2537), (2684),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689), (2691), (2695), (2723), (2728), (2738),
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742), (function-axioms) are inconsistent by
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #683.
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) all_58_13 = e2 & op(e0, e2) = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2743) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) all_58_13 = e2
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) all_58_15 = e0 & op(e0, e0) = e0
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (2745), (function-axioms) are
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2746) implies:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (242), (2487), (2537), (2723),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728), (2748), (function-axioms) are inconsistent
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #682.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2749) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) all_58_7 = e0 & op(e1, e2) = e0
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2750) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) all_58_7 = e0
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2752) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) all_58_9 = e3 & op(e3, e0) = e3
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2753) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) all_58_9 = e3
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2723), (2754) imply:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) e3 = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2755) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) e3 = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2728), (2756) imply:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) all_58_4 = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (163), (216),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (228), (230), (237), (241),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (245), (358), (2371), (2384),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487), (2537), (2733), (2738), (2754), (2757),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #688.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) all_58_10 = e3 & op(e2, e0) = e3
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2758) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) op(e2, e0) = e3
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2485), (2759), (function-axioms) are
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2760) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) all_58_11 = e3 & op(e1, e0) = e3
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2761) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) all_58_11 = e3
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (224), (225),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (242), (244), (2384), (2537), (2691),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723), (2728), (2738), (2747), (2751), (2762),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #681.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) all_58_15 = e3 & op(e0, e0) = e3
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (2403), (2763), (function-axioms) are
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) all_58_13 = e0 & op(e0, e2) = e0
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (2371), (2537), (2733), (2744), (2764),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #717.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2765) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) all_58_4 = e1 & op(e3, e1) = e1
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2728), (2766) are inconsistent by sub-proof
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1008.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) all_58_9 = e1 & op(e3, e0) = e1
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2723), (2767) are inconsistent by sub-proof
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1674.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | (2768) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2768) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | (2769) all_58_6 = e2 & op(e1, e3) = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2769) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | (2770) op(e1, e3) = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2371), (2770), (function-axioms) are
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | (2771) all_58_12 = e2 & op(e0, e3) = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2771) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | (2772) all_58_12 = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2773) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) all_58_0 = e1 & op(e3, e3) = e1
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2774) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) op(e3, e3) = e1
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2537), (2775), (function-axioms) are
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) all_58_1 = e1 & op(e3, e2) = e1
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2776) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) all_58_1 = e1
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2778) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) all_58_2 = e2 & op(e2, e3) = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2779) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) all_58_2 = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) op(e2, e3) = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (2537), (2781), (2782),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #736.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2783) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) all_58_6 = e1 & op(e1, e3) = e1
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2784) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) all_58_6 = e1
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) op(e1, e3) = e1
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (242), (2487), (2537), (2723),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728), (2787), (function-axioms) are inconsistent
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #685.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2788) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) all_58_7 = e2 & op(e1, e2) = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2789) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) all_58_7 = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (163), (164),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (216), (220), (223), (224), (226), (227),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (233), (237), (241), (242), (243),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (358), (2371), (2384),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476), (2487), (2511), (2531), (2537), (2684),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689), (2691), (2695), (2723), (2728), (2777),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790), (function-axioms) are inconsistent by
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #683.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) all_58_13 = e2 & op(e0, e2) = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2791) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) all_58_13 = e2
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2793) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) all_58_6 = e3 & op(e1, e3) = e3
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2785), (2794) are inconsistent by sub-proof
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #968.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) all_58_7 = e3 & op(e1, e2) = e3
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2795) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) all_58_7 = e3
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) op(e1, e2) = e3
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) all_58_15 = e0 & op(e0, e0) = e0
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (2798), (function-axioms) are
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2799) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2800) gives:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) all_58_12 = e0 & op(e0, e3) = e0
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2801) implies:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) all_58_12 = e0
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (2371), (2537), (2780), (2802),
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #919.
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2803) gives:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) all_58_13 = e0 & op(e0, e2) = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2804) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) all_58_13 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2792), (2805) imply:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) e2 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (2371), (2537), (2780), (2806),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #712.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) all_58_14 = e0 & op(e0, e1) = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2807) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) all_58_14 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2809) gives:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) all_58_9 = e3 & op(e3, e0) = e3
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2810) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) all_58_9 = e3
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2723), (2811) imply:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) e3 = e2
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2812) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) e3 = e2
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2728), (2813) imply:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) all_58_4 = e2
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (163), (164),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (216), (223), (224), (226), (227), (228),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (233), (237), (241), (242), (243), (245),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (2371), (2384), (2487), (2531), (2537),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2684), (2689), (2695), (2772), (2777), (2811),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814), (function-axioms) are inconsistent by
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #687.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) all_58_10 = e3 & op(e2, e0) = e3
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2815) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) op(e2, e0) = e3
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2485), (2816), (function-axioms) are
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2817) gives:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) all_58_11 = e3 & op(e1, e0) = e3
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2818) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) all_58_11 = e3
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (242), (2487), (2537), (2723),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728), (2820), (function-axioms) are inconsistent
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #682.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2821) gives:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) all_58_7 = e0 & op(e1, e2) = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2822) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) all_58_7 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2796), (2823) imply:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) e3 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2824) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) e3 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2819), (2825) imply:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) all_58_11 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2496), (2825) imply:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) all_58_3 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (214), (224),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (230), (238), (2370), (2371),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (2529), (2724), (2728), (2777), (2786),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792), (2796), (2797), (2808), (2826), (2827),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #960.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) all_58_13 = e0 & op(e0, e2) = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2828) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) all_58_13 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2792), (2829) imply:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) e2 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (2371), (2537), (2780), (2830),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #712.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_58_15 = e3 & op(e0, e0) = e3
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (2403), (2831), (function-axioms) are
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2832) gives:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) all_58_8 = e3 & op(e1, e1) = e3
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2833) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_58_8 = e3
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2384), (2834) imply:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) e3 = e2
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2728), (2835) imply:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) all_58_4 = e2
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (163), (216),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (241), (243), (245), (358), (2371),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (2537), (2780), (2792), (2836),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #689.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) all_58_11 = e3 & op(e1, e0) = e3
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2837) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) all_58_11 = e3
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) all_58_15 = e0 & op(e0, e0) = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (2839), (function-axioms) are
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2840) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (242), (2487), (2537), (2723),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728), (2842), (function-axioms) are inconsistent
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #682.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2843) gives:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) all_58_7 = e0 & op(e1, e2) = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2844) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) all_58_7 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (224), (225),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (242), (244), (2384), (2537), (2691),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723), (2728), (2777), (2838), (2841), (2845),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #681.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) all_58_13 = e0 & op(e0, e2) = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2846) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) all_58_13 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2792), (2847) imply:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) e2 = e0
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (2371), (2537), (2780), (2848),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #712.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) all_58_12 = e1 & op(e0, e3) = e1
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2772), (2849) are inconsistent by sub-proof
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1734.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) all_58_3 = e2 & op(e2, e2) = e2
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2487), (2850), (function-axioms) are
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2851) gives:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) all_58_5 = e2 & op(e2, e1) = e2
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2852) implies:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) all_58_5 = e2
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (227), (228), (2384),
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728), (2853) are inconsistent by sub-proof #970.
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.01/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_58_10 = e2 & op(e2, e0) = e2
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2854) implies:
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) op(e2, e0) = e2
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2684), (2689), (2695), (2855),
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1425.
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2856) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) all_58_4 = e1 & op(e3, e1) = e1
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2728), (2857) are inconsistent by sub-proof
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1008.
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) all_58_9 = e1 & op(e3, e0) = e1
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2723), (2858) are inconsistent by sub-proof
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1674.
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | (2859) all_58_9 = e3 & op(e3, e0) = e3
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2859) implies:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | (2860) all_58_9 = e3
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2723), (2860) are inconsistent by sub-proof
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | #1865.
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | Case 2:
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | (2861) all_28_2 = e1
% 198.70/32.82 | | | | | | | | | | | | | | (2862) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 198.70/32.82 | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 198.70/32.82 | | | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0)))
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | ALPHA: (2862) implies:
% 198.70/32.82 | | | | | | | | | | | | | | (2863) op(e1, e3) = all_28_1
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | COMBINE_EQS: (334), (2861) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2864) all_14_2 = e1
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | COMBINE_EQS: (290), (2864) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2865) all_56_12 = e1
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | REDUCE: (362), (2864) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2866) ~ (all_52_2 = e1)
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | REDUCE: (364), (2864) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2867) ~ (all_52_3 = e1)
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | REDUCE: (2510), (2864) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2868) ~ (all_16_1 = e1)
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | REDUCE: (355), (2864) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2869) ~ (e3 = e1)
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | REDUCE: (2404), (2864) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2870) ~ (e2 = e1)
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | REDUCE: (51), (2864) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2871) op(e3, e3) = e1
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 198.70/32.82 | | | | | | | | | | | | | | all_28_1, e3, e1, simplifying with (163), (2863)
% 198.70/32.82 | | | | | | | | | | | | | | gives:
% 198.70/32.82 | | | | | | | | | | | | | | (2872) all_52_2 = all_28_1
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | COMBINE_EQS: (268), (2872) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2873) all_54_8 = all_28_1
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | REDUCE: (149), (2872) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2874) ~ (all_52_1 = all_28_1)
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | REDUCE: (144), (2872) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2875) ~ (all_52_3 = all_28_1)
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | SIMP: (2875) implies:
% 198.70/32.82 | | | | | | | | | | | | | | (2876) ~ (all_52_3 = all_28_1)
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | REDUCE: (143), (2872) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2877) ~ (all_52_6 = all_28_1)
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | SIMP: (2877) implies:
% 198.70/32.82 | | | | | | | | | | | | | | (2878) ~ (all_52_6 = all_28_1)
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | REDUCE: (141), (2872) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2879) ~ (all_52_14 = all_28_1)
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | SIMP: (2879) implies:
% 198.70/32.82 | | | | | | | | | | | | | | (2880) ~ (all_52_14 = all_28_1)
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | REDUCE: (2371), (2872) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2881) ~ (all_28_1 = e2)
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | REDUCE: (2866), (2872) imply:
% 198.70/32.82 | | | | | | | | | | | | | | (2882) ~ (all_28_1 = e1)
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 198.70/32.82 | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | (2883) ~ (all_30_2 = e2)
% 198.70/32.82 | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | REDUCE: (328), (2883) imply:
% 198.70/32.82 | | | | | | | | | | | | | | | (2884) ~ (all_10_2 = e2)
% 198.70/32.82 | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 198.70/32.82 | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | (2885) all_54_15 = e3
% 198.70/32.82 | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | REF_CLOSE: (298), (2403), (2885) are inconsistent by
% 198.70/32.82 | | | | | | | | | | | | | | | | sub-proof #1381.
% 198.70/32.82 | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | Case 2:
% 198.70/32.82 | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | (2886) ~ (all_54_15 = e3)
% 198.70/32.82 | | | | | | | | | | | | | | | | (2887) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 198.70/32.82 | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | BETA: splitting (2887) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | (2888) all_54_15 = e2
% 198.70/32.82 | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (2884), (2888) are inconsistent by
% 198.70/32.82 | | | | | | | | | | | | | | | | | sub-proof #1380.
% 198.70/32.82 | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.82 | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | (2889) ~ (all_54_15 = e2)
% 198.70/32.82 | | | | | | | | | | | | | | | | | (2890) all_54_15 = e1 | all_54_15 = e0
% 198.70/32.82 | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | BETA: splitting (2890) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | (2891) all_54_15 = e1
% 198.70/32.82 | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (2891) imply:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | (2892) all_10_2 = e1
% 198.70/32.82 | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | SIMP: (2892) implies:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | (2893) all_10_2 = e1
% 198.70/32.82 | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (2893) imply:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | (2894) all_40_2 = e1
% 198.70/32.82 | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (2893) imply:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | (2895) all_56_15 = e1
% 198.70/32.82 | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | REDUCE: (394), (2893) imply:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | (2896) ~ (all_52_14 = e1)
% 198.70/32.82 | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | REDUCE: (45), (2893) imply:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | (2897) op(e0, e0) = e1
% 198.70/32.82 | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | (2898) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.70/32.82 | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (2898) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | (2899) all_58_2 = e1 & op(e2, e3) = e1
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | ALPHA: (2899) implies:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | (2900) all_58_2 = e1
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | (2901) op(e2, e3) = e1
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | (2902) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2871), (2901), (2902), (function-axioms) are
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #917.
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | (2903) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2903) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | (2904) all_58_6 = e2 & op(e1, e3) = e2
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2904) implies:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | (2905) op(e1, e3) = e2
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2371), (2905), (function-axioms) are
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | (2906) all_58_12 = e2 & op(e0, e3) = e2
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2906) implies:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | (2907) all_58_12 = e2
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | (2908) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2908) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | (2909) all_58_0 = e3 & op(e3, e3) = e3
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2871), (2909), (function-axioms) are
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | (2910) all_58_2 = e3 & op(e2, e3) = e3
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2910) implies:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | (2911) all_58_2 = e3
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | (216), (219), (224), (225), (226), (227), (228),
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (233), (236), (237), (238), (239),
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (244), (245), (246), (355),
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | (358), (2384), (2403), (2484), (2487), (2907),
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | (2911), (function-axioms) are inconsistent by
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #738.
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | (2912) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2912) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | (2913) all_58_6 = e3 & op(e1, e3) = e3
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2913) implies:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | (2914) all_58_6 = e3
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2915) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2915) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) all_58_2 = e2 & op(e2, e3) = e2
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2916) implies:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) all_58_2 = e2
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (239), (2871), (2907), (2914),
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (2917), (function-axioms) are inconsistent by
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #680.
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) all_58_3 = e2 & op(e2, e2) = e2
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2487), (2918), (function-axioms) are
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2919) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2919) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) all_58_5 = e2 & op(e2, e1) = e2
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2920) implies:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) all_58_5 = e2
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (158), (2484), (2907), (2922),
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | #679.
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2923) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) all_58_14 = e3 & op(e0, e1) = e3
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2924) implies:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) all_58_14 = e3
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (230),
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (2921), (2925) are inconsistent by
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #750.
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) all_58_15 = e3 & op(e0, e0) = e3
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (2403), (2926), (function-axioms) are
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) all_58_10 = e2 & op(e2, e0) = e2
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2927) implies:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) all_58_10 = e2
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2929) gives:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) all_58_2 = e0 & op(e2, e3) = e0
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2900), (2930) are inconsistent by sub-proof
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1082.
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) all_58_3 = e0 & op(e2, e2) = e0
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2931) implies:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) op(e2, e2) = e0
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2487), (2932), (function-axioms) are
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2933) gives:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) all_58_5 = e0 & op(e2, e1) = e0
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2934) implies:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_58_5 = e0
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (158), (2484), (2907), (2936),
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #679.
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2937) gives:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) all_58_14 = e3 & op(e0, e1) = e3
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2938) implies:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) all_58_14 = e3
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (223),
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (236), (237), (240),
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (358), (2384), (2476), (2487), (2511),
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871), (2907), (2914), (2928), (2935), (2939),
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #676.
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) all_58_15 = e3 & op(e0, e0) = e3
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (2403), (2940), (function-axioms) are
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) all_58_10 = e0 & op(e2, e0) = e0
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2941) implies:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2942) all_58_10 = e0
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2928), (2942) are inconsistent by sub-proof
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1886.
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | (2943) all_58_12 = e3 & op(e0, e3) = e3
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2943) implies:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | (2944) all_58_12 = e3
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2907), (2944) are inconsistent by sub-proof
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | | #1405.
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | (2945) all_58_3 = e1 & op(e2, e2) = e1
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | ALPHA: (2945) implies:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | (2946) op(e2, e2) = e1
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2487), (2946), (function-axioms) are
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | End of split
% 198.70/32.83 | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | (2947) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.70/32.83 | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (2947) gives:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | (2948) all_58_5 = e1 & op(e2, e1) = e1
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | ALPHA: (2948) implies:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | (2949) all_58_5 = e1
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | (2950) op(e2, e1) = e1
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | (2951) ~ (all_40_2 = e1)
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2894), (2951) imply:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | (2952) $false
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2952) is inconsistent.
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | (2953) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | e0) = all_40_0 & $i(all_40_0)))
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2953) implies:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | (2954) op(e1, e0) = all_40_1
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | (2955) ~ (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | e0) = all_40_0 & $i(all_40_0))
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | (2956) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2956) gives:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2957) all_58_6 = e1 & op(e1, e3) = e1
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2957) implies:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2958) all_58_6 = e1
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | (163), (216), (219), (224), (225), (226), (227),
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (236), (237),
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | (246), (355), (358), (2371), (2384), (2403),
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2484), (2487), (2871), (2958), (function-axioms)
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #674.
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2959) all_58_7 = e1 & op(e1, e2) = e1
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2959) implies:
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2960) all_58_7 = e1
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2961) op(e1, e2) = e1
% 198.70/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | all_40_1, e0, e1, simplifying with (160), (2954)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2962) all_52_14 = all_40_1
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (2961) gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2963) all_52_6 = e1
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_1, e1,
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (2366), (2950) gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2964) all_8_1 = e1
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (2962) imply:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2965) all_54_11 = all_40_1
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2395), (2964) imply:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2966) ~ (all_52_1 = e1)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2878), (2963) imply:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2967) ~ (all_28_1 = e1)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (2962) imply:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2968) ~ (all_52_13 = all_40_1)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2880), (2962) imply:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2969) ~ (all_40_1 = all_28_1)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2376), (2962) imply:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2970) ~ (all_40_1 = e2)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2896), (2962) imply:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | (2971) ~ (all_40_1 = e1)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | (2972) all_54_11 = e3
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2965), (2972) imply:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | (2973) all_40_1 = e3
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2969), (2973) imply:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | (2974) ~ (all_28_1 = e3)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2974) implies:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | (2975) ~ (all_28_1 = e3)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2976) all_54_8 = e3
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2873), (2975), (2976) are inconsistent by
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1475.
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2977) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2978) gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) all_58_9 = e3 & op(e3, e0) = e3
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2979) implies:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) all_58_9 = e3
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2977) gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) all_54_8 = e2
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2873), (2881), (2981) are inconsistent by
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #851.
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) all_54_8 = e1 | all_54_8 = e0
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (148), (157),
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (200), (227), (230), (240), (244), (257),
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279), (2366), (2384), (2481), (2486), (2867),
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871), (2873), (2874), (2876), (2882), (2949),
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966), (2980), (2982), (function-axioms) are
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #670.
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) all_58_10 = e3 & op(e2, e0) = e3
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2983) implies:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) op(e2, e0) = e3
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2485), (2984), (function-axioms) are
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2985) gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) all_58_11 = e3 & op(e1, e0) = e3
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2986) implies:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) all_58_11 = e3
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2977) gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) all_54_8 = e2
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2873), (2881), (2988) are inconsistent by
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #851.
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) all_54_8 = e1 | all_54_8 = e0
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2476), (2511), (2871), (2990),
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #678.
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2991) gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) all_58_4 = e3 & op(e3, e1) = e3
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2992) implies:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) all_58_4 = e3
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2994) gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) all_58_4 = e0 & op(e3, e1) = e0
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2993), (2995) are inconsistent by sub-proof
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #912.
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_58_5 = e0 & op(e2, e1) = e0
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2949), (2996) are inconsistent by sub-proof
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1114.
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2997) gives:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) all_58_8 = e0 & op(e1, e1) = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2384), (2998) are inconsistent by sub-proof
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) all_58_14 = e0 & op(e0, e1) = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2999) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) all_58_14 = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3001) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) all_58_6 = e0 & op(e1, e3) = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3002) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) all_58_6 = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3004) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) all_58_12 = e3 & op(e0, e3) = e3
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3005) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) all_58_12 = e3
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2955) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) ~ (all_40_1 = e3)
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2973), (3007) imply:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) $false
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3008) is inconsistent.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) ~ (all_40_0 = e2) & op(e3, e0) = all_40_0 &
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_0)
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3009) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) ~ (all_40_0 = e2)
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) op(e3, e0) = all_40_0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3012) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) all_58_0 = e2 & op(e3, e3) = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3013) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) op(e3, e3) = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2871), (3014), (function-axioms) are
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) all_58_2 = e2 & op(e2, e3) = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3015) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) all_58_2 = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3017) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) all_58_12 = e2 & op(e0, e3) = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3018) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) all_58_12 = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (239), (245), (2871),
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016), (3019), (function-axioms) are inconsistent
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #889.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) all_58_13 = e2 & op(e0, e2) = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3020) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) all_58_13 = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3022) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) all_58_2 = e0 & op(e2, e3) = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3016), (3023) are inconsistent by sub-proof
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1535.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) all_58_3 = e0 & op(e2, e2) = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3024) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) all_58_3 = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) op(e2, e2) = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (236), (238),
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (244), (2384), (2871), (2949),
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960), (2993), (3000), (3021), (3025), (3026),
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #862.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3027) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) all_58_5 = e0 & op(e2, e1) = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3028) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) all_58_5 = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (228), (2384), (2993), (3000),
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) are inconsistent by sub-proof #880.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030) all_58_10 = e0 & op(e2, e0) = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3030) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3031) all_58_10 = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (160), (221), (2376), (2897), (3010),
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011), (3031), (function-axioms) are inconsistent
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #668.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3032) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (227), (228), (2384),
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897), (2993), (3032), (function-axioms) are
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #854.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3033) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3033) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3034) all_58_6 = e2 & op(e1, e3) = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3034) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3035) op(e1, e3) = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2371), (3035), (function-axioms) are
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036) all_58_12 = e2 & op(e0, e3) = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3036) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3037) all_58_12 = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3006), (3037) imply:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3038) e3 = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2993), (3038) imply:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039) all_58_4 = e2
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (228), (230), (2384),
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000), (3039) are inconsistent by sub-proof #727.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3040) all_58_13 = e3 & op(e0, e2) = e3
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3040) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3041) op(e0, e2) = e3
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2484), (3041), (function-axioms) are
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3042) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3042) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3043) all_58_14 = e3 & op(e0, e1) = e3
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3043) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3044) all_58_14 = e3
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3000), (3044) imply:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3045) e3 = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3045) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3046) e3 = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2987), (3046) imply:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3047) all_58_11 = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960), (3003), (3047) are inconsistent by
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1013.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3048) all_58_15 = e3 & op(e0, e0) = e3
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3048) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3049) op(e0, e0) = e3
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2897), (3049), (function-axioms) are
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3050) all_58_7 = e0 & op(e1, e2) = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3050) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3051) all_58_7 = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2960), (3051) imply:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3052) e1 = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2949), (3052) imply:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3053) all_58_5 = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (228), (2384), (2993), (3000),
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3053) are inconsistent by sub-proof #880.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3054) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3055) all_58_8 = e0 & op(e1, e1) = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2384), (3055) are inconsistent by sub-proof
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056) all_58_11 = e0 & op(e1, e0) = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2987), (3056) are inconsistent by sub-proof
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #723.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3057) all_58_9 = e3 & op(e3, e0) = e3
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3057) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3058) all_58_9 = e3
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (148), (157),
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (200), (227), (230), (240), (244), (257),
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279), (2366), (2384), (2481), (2486), (2867),
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871), (2873), (2874), (2876), (2882), (2949),
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966), (2989), (3058), (function-axioms) are
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #670.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3059) all_58_15 = e3 & op(e0, e0) = e3
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3059) implies:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3060) op(e0, e0) = e3
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2897), (3060), (function-axioms) are
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | (3061) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | (3062) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 199.02/32.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | (163), (216), (219), (224), (225), (226), (227),
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (236), (237),
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | (246), (355), (358), (2371), (2384), (2403),
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2487), (2871), (3062), (function-axioms)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #675.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3063) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3063) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (3064) all_58_6 = e3 & op(e1, e3) = e3
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3064) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (3065) all_58_6 = e3
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3066) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3066) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3067) all_58_6 = e0 & op(e1, e3) = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3065), (3067) are inconsistent by sub-proof
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1452.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3068) all_58_7 = e0 & op(e1, e2) = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2960), (3068) are inconsistent by sub-proof
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1335.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3069) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3070) all_58_8 = e0 & op(e1, e1) = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2384), (3070) are inconsistent by sub-proof
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3071) all_58_11 = e0 & op(e1, e0) = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3071) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) all_58_11 = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3073) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) all_58_9 = e3 & op(e3, e0) = e3
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3074) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) all_58_9 = e3
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3061) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) all_54_11 = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2965), (2970), (3076) are inconsistent by
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1477.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) ~ (all_54_11 = e2)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) all_54_11 = e1 | all_54_11 = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3078) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) all_54_11 = e1
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2965), (2971), (3079) are inconsistent by
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1476.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) all_54_11 = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2965), (3080) imply:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) all_40_1 = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3081) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) all_40_1 = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2969), (3082) imply:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) ~ (all_28_1 = e0)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3083) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) ~ (all_28_1 = e0)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2970), (3082) imply:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) ~ (e2 = e0)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2971), (3082) imply:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) ~ (e1 = e0)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) all_54_8 = e3
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2873), (3087) imply:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) all_28_1 = e3
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3088) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) all_28_1 = e3
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2876), (3089) imply:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) ~ (all_52_3 = e3)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3091) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_58_9 = e2 & op(e3, e0) = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3075), (3092) are inconsistent by sub-proof
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1565.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) all_58_10 = e2 & op(e2, e0) = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3093) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) all_58_10 = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3095) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) all_58_2 = e0 & op(e2, e3) = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3096) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) all_58_2 = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (2871), (3097), (3098),
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #667.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3099) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) all_58_6 = e2 & op(e1, e3) = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3100) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) op(e1, e3) = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2371), (3101), (function-axioms) are
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) all_58_12 = e2 & op(e0, e3) = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3102) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) all_58_12 = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) op(e0, e3) = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3105) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) all_58_0 = e2 & op(e3, e3) = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3106) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) op(e3, e3) = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2871), (3107), (function-axioms) are
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3108) all_58_1 = e2 & op(e3, e2) = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3108) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) all_58_1 = e2
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3110) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) all_58_1 = e0 & op(e3, e2) = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3109), (3111) are inconsistent by sub-proof
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1286.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) all_58_3 = e0 & op(e2, e2) = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3112) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) op(e2, e2) = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (234), (2949), (3094), (3097),
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113), (function-axioms) are inconsistent by
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #757.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3114) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) all_58_7 = e0 & op(e1, e2) = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3115) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) all_58_7 = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (3072), (3116) are inconsistent by
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #989.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) all_58_13 = e0 & op(e0, e2) = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3117) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) op(e0, e2) = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (2484), (3090), (3119),
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #666.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3120) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) all_58_14 = e3 & op(e0, e1) = e3
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3121) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) all_58_14 = e3
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) op(e0, e1) = e3
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3124) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) all_58_4 = e0 & op(e3, e1) = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3125) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) all_58_4 = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) op(e3, e1) = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) all_58_15 = e0 & op(e0, e0) = e0
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (3128), (function-axioms) are
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3129) implies:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3131) gives:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3132) implies:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) op(e0, e2) = all_56_10
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3)
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2484), (3104), (3133), (3134),
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #664.
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3135) implies:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) op(e3, e1) = all_56_1
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3137) all_56_1 = e0 | ( ~ (all_56_2 = e1) & op(e3, e0) =
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 & $i(all_56_2))
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3138) ~ (all_56_12 = e1) | all_56_1 = e3
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3138) gives:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3139) ~ (all_56_12 = e1)
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2865), (3139) imply:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3140) $false
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3140) is inconsistent.
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3141) all_56_1 = e3
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3137) gives:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3142) all_56_1 = e0
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3141), (3142) imply:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3143) e3 = e0
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3065), (3143) imply:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3144) all_58_6 = e0
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960), (3075), (3094), (3130), (3144) are
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #741.
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3145) ~ (all_56_1 = e0)
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_56_1,
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (3127), (3136) gives:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3146) all_56_1 = e0
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3145), (3146) imply:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3147) $false
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3147) is inconsistent.
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3148) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3148) gives:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3149) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3149) implies:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3150) all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0, e2)
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3150) gives:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3151) all_56_15 = e2
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2895), (3151) imply:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3152) e2 = e1
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3109), (3152) imply:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153) all_58_1 = e1
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (2871), (3075), (3126),
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153), (function-axioms) are inconsistent by
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1288.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) ~ (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10)
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3154) implies:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) ~ (all_56_10 = e0)
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) op(e0, e2) = all_56_10
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3118), (3155), (3156), (function-axioms) are
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1333.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3157) implies:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) op(e0, e3) = all_56_9
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) all_56_9 = e1 | ( ~ (all_56_11 = e3) & op(e0, e1)
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160) all_56_9 = e2 | ( ~ (all_56_10 = e3) & op(e0, e2)
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3159) gives:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) all_56_9 = e1
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3160) gives:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) all_56_9 = e2
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3161), (3162) imply:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) e2 = e1
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3163) implies:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) e2 = e1
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3109), (3164) imply:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) all_58_1 = e1
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (2871), (3075), (3126),
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165), (function-axioms) are inconsistent by
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1288.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) ~ (all_56_9 = e2)
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3104), (3158), (3166), (function-axioms) are
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #663.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3123), (3167), (function-axioms) are inconsistent
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #825.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) all_58_5 = e0 & op(e2, e1) = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3168) implies:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) all_58_5 = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (223),
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (228), (236), (237), (240),
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (358), (2384), (2476), (2487), (2511),
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871), (3065), (3094), (3103), (3122), (3169),
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #676.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3170) gives:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) all_58_8 = e0 & op(e1, e1) = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2384), (3171) are inconsistent by sub-proof
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) all_58_14 = e0 & op(e0, e1) = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3172) implies:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) all_58_14 = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3122), (3173) imply:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) e3 = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3174) implies:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) e3 = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3065), (3175) imply:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) all_58_6 = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (3072), (3176) are inconsistent by
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1012.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) all_58_15 = e3 & op(e0, e0) = e3
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3177) implies:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) op(e0, e0) = e3
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2897), (3178), (function-axioms) are
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (227), (230), (2384),
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949), (3075), (3179) are inconsistent by
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #671.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) all_58_3 = e0 & op(e2, e2) = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3180) implies:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) op(e2, e2) = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2487), (3181), (function-axioms) are
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3182) gives:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) all_58_5 = e0 & op(e2, e1) = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3183) implies:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) all_58_5 = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2949), (3184) imply:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) e1 = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2960), (3185) imply:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) all_58_7 = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (3072), (3186) are inconsistent by
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #989.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) all_58_10 = e0 & op(e2, e0) = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3094), (3187) are inconsistent by sub-proof
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1313.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3188) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (2376), (2897), (3188),
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #953.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2873), (2881), (2882), (3084), (3189) are
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #850.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3190) all_58_10 = e3 & op(e2, e0) = e3
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3190) implies:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191) op(e2, e0) = e3
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2485), (3191), (function-axioms) are
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3192) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3192) gives:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3193) all_58_11 = e3 & op(e1, e0) = e3
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3193) implies:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194) all_58_11 = e3
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3072), (3194) imply:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3195) e3 = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3065), (3195) imply:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196) all_58_6 = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (3072), (3196) are inconsistent by
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1012.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3197) all_58_15 = e3 & op(e0, e0) = e3
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3197) implies:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198) op(e0, e0) = e3
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2897), (3198), (function-axioms) are
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (3199) all_58_12 = e3 & op(e0, e3) = e3
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3199) implies:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (3200) op(e0, e3) = e3
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3061) gives:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3201) all_54_11 = e2
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2965), (2970), (3201) are inconsistent by
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1477.
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3202) all_54_11 = e1 | all_54_11 = e0
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3202) gives:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_54_11 = e1
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2965), (3203) imply:
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) all_40_1 = e1
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2971), (3204) imply:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) $false
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3205) is inconsistent.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) all_54_11 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2965), (3206) imply:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) all_40_1 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2969), (3207) imply:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) ~ (all_28_1 = e0)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3208) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) ~ (all_28_1 = e0)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (196), (2873), (2876), (2881), (2882),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200), (3209), (function-axioms) are inconsistent
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #662.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | (3210) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3210) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | (3211) all_58_8 = e1 & op(e1, e1) = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2384), (3211) are inconsistent by sub-proof
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | #950.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | (3212) all_58_11 = e1 & op(e1, e0) = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3212) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | (3213) all_58_11 = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (216),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (358), (2485), (2897), (3213),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | #660.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | (3214) all_58_10 = e1 & op(e2, e0) = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (3214) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | (3215) all_58_10 = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | (3216) op(e2, e0) = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | (3217) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3217) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | (3218) all_58_9 = e2 & op(e3, e0) = e2
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3218) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | (3219) all_58_9 = e2
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | (3220) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (2485), (3219), (3220),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | #726.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | (3221) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3221) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | (3222) all_58_11 = e3 & op(e1, e0) = e3
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3222) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | (3223) all_58_11 = e3
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | (3224) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2476), (2511), (2871), (3224),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | #678.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | (3225) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3225) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) all_58_4 = e3 & op(e3, e1) = e3
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3226) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) all_58_4 = e3
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3228) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) all_58_6 = e1 & op(e1, e3) = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3229) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) all_58_6 = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (216), (219), (224), (225), (226), (227),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (236), (237),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (355), (358), (2371), (2384), (2403),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2487), (2871), (3230), (function-axioms)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #674.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) all_58_7 = e1 & op(e1, e2) = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3231) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232) all_58_7 = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3233) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3233) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3234) all_58_4 = e1 & op(e3, e1) = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3234) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3235) all_58_4 = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3227), (3235) imply:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) e3 = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3223), (3236) imply:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237) all_58_11 = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (216),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (358), (2485), (2897), (3237),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #660.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3238) all_58_5 = e1 & op(e2, e1) = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3238) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3239) all_58_5 = e1
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3240) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3240) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241) all_58_4 = e0 & op(e3, e1) = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3227), (3241) are inconsistent by sub-proof
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #912.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242) all_58_5 = e0 & op(e2, e1) = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3242) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243) all_58_5 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3239), (3243) are inconsistent by sub-proof
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1592.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3244) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3244) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245) all_58_8 = e0 & op(e1, e1) = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (160), (221), (2376), (2384), (2897),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216), (3219), (3245), (function-axioms) are
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #659.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246) all_58_14 = e0 & op(e0, e1) = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3246) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247) all_58_14 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3248) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) all_58_6 = e0 & op(e1, e3) = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3249) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) all_58_6 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) all_58_15 = e0 & op(e0, e0) = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (3251), (function-axioms) are
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3252) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3253) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3254) all_58_9 = e0 & op(e3, e0) = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3254) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255) all_58_9 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (160), (221), (2376), (2897), (3216),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255), (function-axioms) are inconsistent by
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #897.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3256) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3256) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3257) all_58_10 = e0 & op(e2, e0) = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3257) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3258) all_58_10 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3215), (3258) imply:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3259) e1 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3259) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3260) e1 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3239), (3260) imply:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) all_58_5 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (228), (2384), (3227), (3247),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) are inconsistent by sub-proof #880.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3262) all_58_11 = e0 & op(e1, e0) = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3262) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3263) all_58_11 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232), (3250), (3263) are inconsistent by
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1013.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3264) all_58_7 = e0 & op(e1, e2) = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3264) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3265) all_58_7 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3232), (3265) imply:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3266) e1 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3266) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267) e1 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3239), (3267) imply:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) all_58_5 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (228), (2384), (3227), (3247),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) are inconsistent by sub-proof #880.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3269) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3269) gives:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3270) all_58_8 = e0 & op(e1, e1) = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (160), (221), (2376), (2384), (2897),
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216), (3219), (3270), (function-axioms) are
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #659.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3271) all_58_11 = e0 & op(e1, e0) = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3271) implies:
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3272) all_58_11 = e0
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3223), (3272) are inconsistent by sub-proof
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #951.
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3273) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3273) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3274) all_58_8 = e1 & op(e1, e1) = e1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (221), (227),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (240), (244), (246), (2366), (2376),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (2476), (2486), (2511), (2871), (2897),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216), (3219), (3274), (function-axioms) are
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #653.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3275) all_58_14 = e1 & op(e0, e1) = e1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3275) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3276) all_58_14 = e1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (164),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (222), (358), (2484),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485), (2897), (3223), (3276), (function-axioms)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #651.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3277) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3277) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3278) all_58_8 = e1 & op(e1, e1) = e1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (221), (227),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (240), (244), (246), (2366), (2376),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (2476), (2486), (2511), (2871), (2897),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216), (3219), (3278), (function-axioms) are
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #653.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3279) all_58_11 = e1 & op(e1, e0) = e1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3279) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3280) all_58_11 = e1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (216),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (358), (2485), (2897), (3280),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #660.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (3281) all_58_9 = e3 & op(e3, e0) = e3
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3219), (3281) are inconsistent by sub-proof
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | #979.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | (3282) all_58_15 = e3 & op(e0, e0) = e3
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3282) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | (3283) op(e0, e0) = e3
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2897), (3283), (function-axioms) are
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | (3284) all_58_10 = e2 & op(e2, e0) = e2
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3284) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | (3285) op(e2, e0) = e2
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3216), (3285), (function-axioms) are
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1785.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | (3286) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (2376), (2897), (3286),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | #953.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | (3287) all_54_15 = e0
% 199.02/32.89 | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (358), (3287) are inconsistent by sub-proof
% 199.02/32.89 | | | | | | | | | | | | | | | | | | #1323.
% 199.02/32.89 | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | End of split
% 199.02/32.89 | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | (3288) all_30_2 = e2
% 199.02/32.89 | | | | | | | | | | | | | | | (3289) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 199.02/32.89 | | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 199.02/32.89 | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0)))
% 199.02/32.89 | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | ALPHA: (3289) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | (3290) op(e2, e0) = all_30_1
% 199.02/32.89 | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | COMBINE_EQS: (328), (3288) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | (3291) all_10_2 = e2
% 199.02/32.89 | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | SIMP: (3291) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | (3292) all_10_2 = e2
% 199.02/32.89 | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | COMBINE_EQS: (350), (3292) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | (3293) all_42_2 = e2
% 199.02/32.89 | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | COMBINE_EQS: (254), (3292) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | (3294) all_56_15 = e2
% 199.02/32.89 | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | REDUCE: (393), (3292) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | (3295) ~ (all_52_13 = e2)
% 199.02/32.89 | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | REDUCE: (2403), (3292) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | (3296) ~ (e3 = e2)
% 199.02/32.89 | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | REDUCE: (45), (3292) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | (3297) op(e0, e0) = e2
% 199.02/32.89 | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 199.02/32.89 | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | (3298) ~ (all_42_2 = e2)
% 199.02/32.89 | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | REDUCE: (3293), (3298) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | | (3299) $false
% 199.02/32.89 | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | CLOSE: (3299) is inconsistent.
% 199.02/32.89 | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | (3300) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 199.02/32.89 | | | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 199.02/32.89 | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 199.02/32.89 | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | ALPHA: (3300) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | (3301) op(e2, e0) = all_42_1
% 199.02/32.89 | | | | | | | | | | | | | | | | (3302) ~ (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 199.02/32.89 | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0))
% 199.02/32.89 | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | (3303) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 199.02/32.89 | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 199.02/32.89 | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | BETA: splitting (3303) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | (3304) all_58_0 = e2 & op(e3, e3) = e2
% 199.02/32.89 | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | ALPHA: (3304) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | (3305) op(e3, e3) = e2
% 199.02/32.89 | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2871), (3305), (function-axioms) are
% 199.02/32.89 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 199.02/32.89 | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | (3306) all_58_1 = e2 & op(e3, e2) = e2
% 199.02/32.89 | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | ALPHA: (3306) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | (3307) all_58_1 = e2
% 199.02/32.89 | | | | | | | | | | | | | | | | | | (3308) op(e3, e2) = e2
% 199.02/32.89 | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | (3309) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (3309) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3310) all_58_2 = e2 & op(e2, e3) = e2
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | ALPHA: (3310) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3311) all_58_2 = e2
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3312) op(e2, e3) = e2
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (3290)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3313) all_52_13 = all_30_1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (3301)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3314) all_52_13 = all_42_1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (3312) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3315) all_52_1 = e2
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1, e2,
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (2476), (3308) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3316) all_16_1 = e2
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3313), (3314) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3317) all_42_1 = all_30_1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | SIMP: (3317) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3318) all_42_1 = all_30_1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (3313) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3319) all_54_7 = all_30_1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3315) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3320) ~ (all_52_3 = e2)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | SIMP: (3320) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3321) ~ (all_52_3 = e2)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (2874), (3315) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3322) ~ (all_28_1 = e2)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (2505), (3316) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3323) ~ (all_52_7 = e2)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (2400), (3313) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3324) ~ (all_30_1 = all_8_1)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (2485), (3313) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3325) ~ (all_30_1 = e3)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (3295), (3313) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | (3326) ~ (all_30_1 = e2)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | (3327) all_54_9 = e3
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (2483), (3327) are inconsistent by
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | sub-proof #1690.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | (3328) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | (3329) all_54_12 = e3
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (3329) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | (3330) all_52_3 = e3
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3330) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | (3331) ~ (all_52_7 = e3)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (3330) imply:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | (3332) ~ (all_52_11 = e3)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3332) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | (3333) ~ (all_52_11 = e3)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | (3334) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3334) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | (3335) all_58_6 = e3 & op(e1, e3) = e3
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (45), (157), (158), (219), (239),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | (2403), (2484), (2871), (3311), (3333), (3335),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | #649.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | (3336) all_58_7 = e3 & op(e1, e2) = e3
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3336) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | (3337) all_58_7 = e3
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | (3338) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | (163), (216), (219), (224), (225), (226), (227),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (236), (237),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | (246), (355), (358), (2371), (2384), (2403),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2487), (2871), (3338), (function-axioms)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #675.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | (3339) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3339) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (3340) all_58_6 = e3 & op(e1, e3) = e3
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (45), (157), (158), (219), (239),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2403), (2484), (2871), (3311), (3333), (3340),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | #649.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (3341) all_58_12 = e3 & op(e0, e3) = e3
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3341) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (3342) all_58_12 = e3
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3343) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (244), (246),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476), (2487), (2511), (2871), (3343),
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | #648.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3344) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3344) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3345) all_58_7 = e1 & op(e1, e2) = e1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3337), (3345) are inconsistent by sub-proof
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1727.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3346) all_58_13 = e1 & op(e0, e2) = e1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3346) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3347) all_58_13 = e1
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348) all_58_15 = e0 & op(e0, e0) = e0
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (3348), (function-axioms) are
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3349) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3349) implies:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3350) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3350) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3351) all_58_12 = e0 & op(e0, e3) = e0
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3342), (3351) are inconsistent by sub-proof
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1532.
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3352) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3352) gives:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3353) all_58_13 = e0 & op(e0, e2) = e0
% 199.02/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3347), (3353) are inconsistent by sub-proof
% 199.28/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1345.
% 199.28/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3354) all_58_14 = e0 & op(e0, e1) = e0
% 199.28/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3354) implies:
% 199.28/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3355) all_58_14 = e0
% 199.28/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 199.28/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3356) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3356) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3357) all_58_4 = e3 & op(e3, e1) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3357) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3358) all_58_4 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3359) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3359) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3360) all_58_9 = e3 & op(e3, e0) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3360) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3361) all_58_9 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (240), (2871), (3307), (3358),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3361), (function-axioms) are inconsistent by
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #673.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3362) all_58_10 = e3 & op(e2, e0) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3362) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3363) op(e2, e0) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2485), (3363), (function-axioms) are
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3364) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3364) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3365) all_58_11 = e3 & op(e1, e0) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3365) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3366) all_58_11 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) op(e1, e0) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (217), (219), (224), (225), (226), (227),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (235), (236), (239), (240), (242),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (2366), (2384), (2403),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2486), (2487), (2871), (3297), (3302),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3307), (3311), (3318), (3319), (3324), (3325),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3326), (3333), (3342), (3366), (3367),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #637.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) all_58_15 = e3 & op(e0, e0) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3368) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) all_58_15 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (157), (217), (218),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (3333), (3342), (3347), (3355), (3369),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1221.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) all_58_5 = e3 & op(e2, e1) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2366), (2486), (3370), (function-axioms) are
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #721.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3371) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3372) all_58_8 = e3 & op(e1, e1) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3372) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3373) all_58_8 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2384), (3373) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3374) e3 = e2
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3374) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) e3 = e2
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3337), (3375) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3376) all_58_7 = e2
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (235), (238), (3307),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3347), (3376) are inconsistent by sub-proof #636.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3377) all_58_14 = e3 & op(e0, e1) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3377) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3378) op(e0, e1) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (3333), (3378), (function-axioms) are
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1841.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | (3379) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3379) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3380) all_58_8 = e3 & op(e1, e1) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3380) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3381) all_58_8 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2384), (3381) are inconsistent by sub-proof
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | #1897.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3382) all_58_11 = e3 & op(e1, e0) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3382) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3383) all_58_11 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3384) op(e1, e0) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | (3385) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | (163), (216), (219), (224), (225), (226), (227),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (236), (237),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | (246), (355), (358), (2371), (2384), (2403),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2487), (2871), (3385), (function-axioms)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #675.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | (3386) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3386) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3387) all_58_6 = e3 & op(e1, e3) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (45), (157), (158), (219), (239),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (2403), (2484), (2871), (3311), (3333), (3387),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | #649.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3388) all_58_12 = e3 & op(e0, e3) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3388) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3389) all_58_12 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (217), (219), (224), (225), (226), (227),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (235), (236), (239), (240), (242),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (2366), (2384), (2403),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2486), (2487), (2871), (3297), (3302),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3307), (3311), (3318), (3319), (3324), (3325),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3326), (3333), (3383), (3384), (3389),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | #637.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | (3390) ~ (all_54_12 = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | (3391) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (3390) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | (3392) ~ (all_52_3 = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3391) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | (3393) all_54_12 = e2
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (3393) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | (3394) all_52_3 = e2
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3321), (3394) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | (3395) $false
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3395) is inconsistent.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | (3396) ~ (all_54_12 = e2)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | (3397) all_54_12 = e1 | all_54_12 = e0
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3397) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3398) all_54_12 = e1
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (3398) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3399) all_52_3 = e1
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2867), (3399) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3400) $false
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3400) is inconsistent.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3401) all_54_12 = e0
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (3401) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3402) all_52_3 = e0
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3402) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3403) ~ (all_52_7 = e0)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3403) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3404) ~ (all_52_7 = e0)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2876), (3402) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3405) ~ (all_28_1 = e0)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3405) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3406) ~ (all_28_1 = e0)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3321), (3402) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3407) ~ (e2 = e0)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2867), (3402) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | (3408) ~ (e1 = e0)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | (3409) all_54_8 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2873), (3409) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | (3410) all_28_1 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2880), (3410) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | (3411) ~ (all_52_14 = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3412) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (2484), (3392), (3412),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | #666.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3413) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3413) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3414) all_58_14 = e3 & op(e0, e1) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3414) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3415) all_58_14 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3416) op(e0, e1) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3417) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3417) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3418) all_58_9 = e3 & op(e3, e0) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3418) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3419) all_58_9 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3420) op(e3, e0) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3421) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3421) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3422) all_58_12 = e1 & op(e0, e3) = e1
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3422) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3423) all_58_12 = e1
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3424) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (2871), (3311), (3424),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1534.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3425) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3425) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3426) all_58_6 = e0 & op(e1, e3) = e0
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3426) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3427) all_58_6 = e0
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3428) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (216), (219), (224), (225), (226), (227),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (236), (237),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (355), (358), (2371), (2384), (2403),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2487), (2871), (3428), (function-axioms)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #675.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3429) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3429) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3430) all_58_6 = e3 & op(e1, e3) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3430) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3431) all_58_6 = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3427), (3431) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3432) e3 = e0
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3415), (3432) imply:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3433) all_58_14 = e0
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (45), (158), (219), (239), (2403),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2871), (3311), (3431), (3433),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #635.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3434) all_58_12 = e3 & op(e0, e3) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3434) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3435) op(e0, e3) = e3
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3392), (3435), (function-axioms) are
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3436) all_58_12 = e0 & op(e0, e3) = e0
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3423), (3436) are inconsistent by sub-proof
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #804.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3437) all_58_13 = e1 & op(e0, e2) = e1
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3437) implies:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3438) all_58_13 = e1
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3439) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (2871), (3311), (3439),
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1534.
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3440) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3440) gives:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3441) all_58_6 = e0 & op(e1, e3) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3441) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3442) all_58_6 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3443) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3443) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3444) all_58_6 = e3 & op(e1, e3) = e3
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3444) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3445) all_58_6 = e3
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3442), (3445) imply:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3446) e3 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3446) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3447) e3 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3415), (3447) imply:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3448) all_58_14 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (45), (158), (219), (239), (2403),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2871), (3311), (3445), (3448),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #635.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3449) all_58_7 = e3 & op(e1, e2) = e3
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3449) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3450) all_58_7 = e3
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3451) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3451) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3452) all_58_6 = e1 & op(e1, e3) = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3452) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3453) all_58_6 = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (216), (219), (224), (225), (226), (227),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (236), (237),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (355), (358), (2371), (2384), (2403),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2487), (2871), (3453), (function-axioms)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #674.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3454) all_58_7 = e1 & op(e1, e2) = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3450), (3454) are inconsistent by sub-proof
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1727.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3455) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (163), (216), (219), (223), (224), (225),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (231), (232), (233),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (355), (358), (2371),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (2403), (2484), (2487), (2496), (2871),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3307), (3392), (3419), (3438), (3442), (3450),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3455), (function-axioms) are inconsistent by
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #634.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3456) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (2384), (3411), (3456),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #633.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3457) all_58_12 = e0 & op(e0, e3) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3457) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3458) all_58_12 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3459) op(e0, e3) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3460) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3460) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3461) all_58_6 = e3 & op(e1, e3) = e3
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3461) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3462) all_58_6 = e3
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3463) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3463) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3464) all_58_4 = e1 & op(e3, e1) = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3464) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3465) all_58_4 = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3466) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3466) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3467) all_58_0 = e0 & op(e3, e3) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3467) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3468) op(e3, e3) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (163), (241), (243), (2371),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3458), (3462), (3468), (function-axioms) are
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #920.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3469) all_58_1 = e0 & op(e3, e2) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3307), (3469) are inconsistent by sub-proof
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1286.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3470) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3470) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3471) all_58_4 = e0 & op(e3, e1) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3471) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3472) all_58_4 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3465), (3472) are inconsistent by sub-proof
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1486.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3473) all_58_9 = e0 & op(e3, e0) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3473) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3474) all_58_9 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3419), (3474) imply:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3475) e3 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3475) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3476) e3 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3415), (3476) imply:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3477) all_58_14 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (45), (158), (219), (239), (2403),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2871), (3311), (3462), (3477),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #635.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3478) all_58_5 = e1 & op(e2, e1) = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3478) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3479) all_58_5 = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3480) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3480) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3481) all_58_4 = e0 & op(e3, e1) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3481) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3482) op(e3, e1) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3483) all_54_13 = e3
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (2484), (3483) are inconsistent by
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1294.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3484) ~ (all_54_13 = e3)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3485) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3486) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3487) all_58_2 = e0 & op(e2, e3) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3487) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3488) all_58_2 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3311), (3488) are inconsistent by sub-proof
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1664.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3489) all_58_3 = e0 & op(e2, e2) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3489) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3490) op(e2, e2) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2487), (3490), (function-axioms) are
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3491) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3491) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3492) all_58_5 = e0 & op(e2, e1) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3492) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3493) all_58_5 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3479), (3493) are inconsistent by sub-proof
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1592.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3494) all_58_10 = e0 & op(e2, e0) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3494) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3495) all_58_10 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3496) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3496) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3497) all_58_1 = e0 & op(e3, e2) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3307), (3497) are inconsistent by sub-proof
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1286.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3498) all_58_3 = e0 & op(e2, e2) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3498) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3499) all_58_3 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3500) op(e2, e2) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (234), (3311),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3495), (3499), (3500), (function-axioms) are
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #996.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3501) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3501) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3502) all_58_7 = e0 & op(e1, e2) = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3502) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3503) all_58_7 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3504) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3504) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3505) all_58_9 = e1 & op(e3, e0) = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3505) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3506) all_58_9 = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3419), (3506) imply:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3507) e3 = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3507) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3508) e3 = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3462), (3508) imply:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3509) all_58_6 = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (216), (219), (224), (225), (226), (227),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (236), (237),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (355), (358), (2371), (2384), (2403),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2487), (2871), (3509), (function-axioms)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #674.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3510) all_58_10 = e1 & op(e2, e0) = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3495), (3510) are inconsistent by sub-proof
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1416.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3511) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3511) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3512) all_58_11 = e1 & op(e1, e0) = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3512) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3513) all_58_11 = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3485) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3514) all_54_13 = e2
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (3323), (3514) are inconsistent by
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1284.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3515) ~ (all_54_13 = e2)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3516) all_54_13 = e1 | all_54_13 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3516) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3517) all_54_13 = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (3517) imply:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3518) all_52_7 = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3518) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3519) all_52_7 = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3519) imply:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3520) ~ (all_52_6 = e1)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (3519) imply:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3521) op(e0, e2) = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3328) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3522) all_54_9 = e2
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (2372), (3522) are inconsistent by
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1773.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3523) ~ (all_54_9 = e2)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3524) all_54_9 = e1 | all_54_9 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3525) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3525) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3526) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3526) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3527) op(e0, e2) = all_56_10
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3528) all_56_10 = e1 | ( ~ (all_56_11 = e2) & op(e0, e1)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3529) ~ (all_56_15 = e2) | all_56_10 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3529) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3530) ~ (all_56_15 = e2)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3294), (3530) imply:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3531) $false
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3531) is inconsistent.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3532) all_56_10 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3528) gives:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3533) all_56_10 = e1
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3532), (3533) imply:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3534) e1 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3534) implies:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3535) e1 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3513), (3535) imply:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3536) all_58_11 = e0
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (224), (2384), (3462), (3503),
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3536) are inconsistent by sub-proof #990.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3537) ~ (all_56_10 = e1)
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3521), (3527), (3537), (function-axioms) are
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #697.
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3538) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3416), (3521), (3538), (function-axioms) are
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #631.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3539) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3539) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3540) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3540) implies:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3541) op(e3, e0) = all_56_2
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3542) all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1) =
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_1 & $i(all_56_1))
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3524) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3543) all_54_9 = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (3520), (3543) are inconsistent by
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1243.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3544) all_54_9 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (3544) imply:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3545) all_52_6 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3545) implies:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3546) all_52_6 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (3546) imply:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3547) ~ (all_52_14 = e0)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3547) implies:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3548) ~ (all_52_14 = e0)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2483), (3546) imply:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3549) ~ (e3 = e0)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3550) all_54_11 = e3
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (3411), (3550) are inconsistent by
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1295.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3551) ~ (all_54_11 = e3)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3552) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3552) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3553) all_54_11 = e2
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2376), (3553) are inconsistent by
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1282.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3554) ~ (all_54_11 = e2)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3555) all_54_11 = e1 | all_54_11 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3542) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3556) all_56_2 = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3541), (3556) imply:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3557) op(e3, e0) = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3555) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3558) all_54_11 = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (3558) imply:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3559) all_52_14 = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3559) implies:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3560) all_52_14 = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e0,
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3420), (3557) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3561) e3 = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3462), (3561) imply:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3562) all_58_6 = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (216), (219), (224), (225), (226), (227),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (236), (237),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (355), (358), (2371), (2384), (2403),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2487), (2871), (3562), (function-axioms)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #674.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3563) all_54_11 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (3548), (3563) are inconsistent by
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3564) ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3564) implies:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3565) ~ (all_56_1 = e0)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3566) op(e3, e1) = all_56_1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3482), (3565), (3566), (function-axioms) are
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1071.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3567) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3567) implies:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3568) op(e0, e3) = all_56_9
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3569) all_56_9 = e1 | ( ~ (all_56_11 = e3) & op(e0, e1)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3570) all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0) =
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 & $i(all_56_5))
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3571) ~ (all_56_13 = e3) | all_56_3 = e2
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3569) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3572) all_56_9 = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3568), (3572) imply:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3573) op(e0, e3) = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3571) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3574) ~ (all_56_13 = e3)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2480), (3574) imply:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3575) $false
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3575) is inconsistent.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3576) all_56_3 = e2
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3570) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3577) all_56_3 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3576), (3577) imply:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3578) e2 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (3578) imply:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3579) $false
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3579) is inconsistent.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e3,
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3459), (3573) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3580) e1 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3513), (3580) imply:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3581) all_58_11 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (224), (2384), (3462), (3503),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3581) are inconsistent by sub-proof #990.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3582) ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3416), (3582), (function-axioms) are inconsistent
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #825.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3583) all_54_13 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (3404), (3583) are inconsistent by
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #630.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3584) all_58_15 = e1 & op(e0, e0) = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3584) implies:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3585) op(e0, e0) = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3297), (3585), (function-axioms) are
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3586) all_58_13 = e0 & op(e0, e2) = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3586) implies:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3587) all_58_13 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3438), (3587) are inconsistent by sub-proof
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1325.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3588) all_58_5 = e0 & op(e2, e1) = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3479), (3588) are inconsistent by sub-proof
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1114.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3589) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3589) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3590) all_58_8 = e0 & op(e1, e1) = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2384), (3590) are inconsistent by sub-proof
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3591) all_58_14 = e0 & op(e0, e1) = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3591) implies:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3592) all_58_14 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (45), (158), (219), (239), (2403),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2871), (3311), (3462), (3592),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #635.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3593) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3593) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3594) all_58_8 = e1 & op(e1, e1) = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (240), (244), (2384),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871), (3307), (3419), (3594), (function-axioms)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #791.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3595) all_58_14 = e1 & op(e0, e1) = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3595) implies:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3596) all_58_14 = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (45), (158), (219), (2403), (2484),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3458), (3596), (function-axioms) are inconsistent
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #638.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3597) all_58_7 = e3 & op(e1, e2) = e3
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3597) implies:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3598) all_58_7 = e3
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3599) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3599) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3600) all_58_6 = e0 & op(e1, e3) = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3600) implies:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3601) all_58_6 = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3602) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3602) gives:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3603) all_58_6 = e1 & op(e1, e3) = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3603) implies:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3604) all_58_6 = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (216), (219), (224), (225), (226), (227),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (236), (237),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (355), (358), (2371), (2384), (2403),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2487), (2871), (3604), (function-axioms)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #674.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3605) all_58_7 = e1 & op(e1, e2) = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3605) implies:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3606) all_58_7 = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3598), (3606) imply:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3607) e3 = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3415), (3607) imply:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3608) all_58_14 = e1
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (45), (158), (219), (2403), (2484),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3458), (3608), (function-axioms) are inconsistent
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #638.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3609) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (163), (216), (219), (223), (224), (225),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (231), (232), (233),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (355), (358), (2371),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (2403), (2484), (2487), (2496), (2871),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3307), (3392), (3419), (3438), (3598), (3601),
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3609), (function-axioms) are inconsistent by
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #634.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3610) all_58_7 = e0 & op(e1, e2) = e0
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3598), (3610) are inconsistent by sub-proof
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1619.
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3611) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3611) gives:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3612) all_58_8 = e0 & op(e1, e1) = e0
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2384), (3612) are inconsistent by sub-proof
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3613) all_58_11 = e0 & op(e1, e0) = e0
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3613) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3614) all_58_11 = e0
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3615) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3615) gives:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3616) all_58_6 = e1 & op(e1, e3) = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3616) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3617) all_58_6 = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (216), (219), (224), (225), (226), (227),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (236), (237),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (355), (358), (2371), (2384), (2403),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484), (2487), (2871), (3617), (function-axioms)
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #674.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3618) all_58_7 = e1 & op(e1, e2) = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3618) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3619) all_58_7 = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3598), (3619) imply:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3620) e3 = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3620) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3621) e3 = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3415), (3621) imply:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3622) all_58_14 = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (45), (158), (219), (2403), (2484),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3458), (3622), (function-axioms) are inconsistent
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #638.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3623) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3623) gives:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3624) all_58_8 = e1 & op(e1, e1) = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3624) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625) all_58_8 = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2384), (3625) imply:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3626) e2 = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3626) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3627) e2 = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3307), (3627) imply:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3628) all_58_1 = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (240), (244), (2871),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3419), (3628), (function-axioms) are inconsistent
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1287.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3629) all_58_11 = e1 & op(e1, e0) = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3614), (3629) are inconsistent by sub-proof
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1834.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3630) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (2384), (3411), (3630),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #633.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3631) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3631) gives:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3632) all_58_14 = e1 & op(e0, e1) = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3632) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633) all_58_14 = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3415), (3633) are inconsistent by sub-proof
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #985.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634) all_58_15 = e1 & op(e0, e0) = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3634) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3635) op(e0, e0) = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3297), (3635), (function-axioms) are
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3636) all_58_10 = e3 & op(e2, e0) = e3
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3636) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3637) op(e2, e0) = e3
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2485), (3637), (function-axioms) are
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (2403), (3411), (3638),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3639) all_58_15 = e3 & op(e0, e0) = e3
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (2403), (3639), (function-axioms) are
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | (3640) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2873), (2881), (2882), (3406), (3640) are
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #850.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | (3641) all_58_3 = e2 & op(e2, e2) = e2
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2487), (3641), (function-axioms) are
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | (3642) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 199.28/32.93 | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (3642) gives:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | (3643) all_58_5 = e2 & op(e2, e1) = e2
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | ALPHA: (3643) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | (3644) all_58_5 = e2
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | (3645) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3645) gives:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | (3646) all_58_4 = e3 & op(e3, e1) = e3
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3646) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | (3647) all_58_4 = e3
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (227), (228), (2384),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | (3644), (3647) are inconsistent by sub-proof #970.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | (3648) all_58_5 = e3 & op(e2, e1) = e3
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2366), (2486), (3648), (function-axioms) are
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #721.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | (3649) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3649) gives:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | (3650) all_58_8 = e3 & op(e1, e1) = e3
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2384), (3650) are inconsistent by sub-proof
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | #1005.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | (3651) all_58_14 = e3 & op(e0, e1) = e3
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3651) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | (3652) all_58_14 = e3
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (230),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | (2384), (3644), (3652) are inconsistent by
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | | sub-proof #750.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | (3653) all_58_10 = e2 & op(e2, e0) = e2
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | ALPHA: (3653) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | (3654) op(e2, e0) = e2
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3290), (3295), (3301), (3654),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | | #1425.
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | (3655) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 199.28/32.93 | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 199.28/32.93 | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | BETA: splitting (3655) gives:
% 199.28/32.93 | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | (3656) all_58_4 = e2 & op(e3, e1) = e2
% 199.28/32.93 | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | ALPHA: (3656) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | (3657) all_58_4 = e2
% 199.28/32.93 | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (230),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | (2366), (2384), (2486), (3657), (function-axioms)
% 199.28/32.93 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #654.
% 199.28/32.93 | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | (3658) all_58_9 = e2 & op(e3, e0) = e2
% 199.28/32.93 | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | ALPHA: (3658) implies:
% 199.28/32.93 | | | | | | | | | | | | | | | | | | (3659) all_58_9 = e2
% 199.28/32.93 | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (216),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | (220), (222), (358), (2403), (2485), (3297),
% 199.28/32.93 | | | | | | | | | | | | | | | | | | (3659), (function-axioms) are inconsistent by
% 199.28/32.93 | | | | | | | | | | | | | | | | | | sub-proof #625.
% 199.28/32.93 | | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | (3660) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 199.28/32.93 | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 199.28/32.93 | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | BETA: splitting (3660) gives:
% 199.28/32.93 | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | (3661) all_58_5 = e3 & op(e2, e1) = e3
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | REF_CLOSE: (2366), (2486), (3661), (function-axioms) are
% 199.28/32.93 | | | | | | | | | | | | | inconsistent by sub-proof #721.
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | (3662) all_58_10 = e3 & op(e2, e0) = e3
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | ALPHA: (3662) implies:
% 199.28/32.93 | | | | | | | | | | | | | (3663) op(e2, e0) = e3
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | REF_CLOSE: (164), (2485), (3663), (function-axioms) are
% 199.28/32.93 | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | |
% 199.28/32.93 | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | |
% 199.28/32.93 | | | | | | | | | (3664) all_14_2 = e2
% 199.28/32.93 | | | | | | | | | (3665) op(e2, e3) = all_14_1 & $i(all_14_1) & ( ~ (all_14_1
% 199.28/32.93 | | | | | | | | | = e1) | ( ~ (all_14_0 = e0) & op(e1, e3) =
% 199.28/32.93 | | | | | | | | | all_14_0 & $i(all_14_0)))
% 199.28/32.93 | | | | | | | | |
% 199.28/32.93 | | | | | | | | | ALPHA: (3665) implies:
% 199.28/32.93 | | | | | | | | | (3666) op(e2, e3) = all_14_1
% 199.28/32.93 | | | | | | | | | (3667) ~ (all_14_1 = e1) | ( ~ (all_14_0 = e0) & op(e1,
% 199.28/32.93 | | | | | | | | | e3) = all_14_0 & $i(all_14_0))
% 199.28/32.93 | | | | | | | | |
% 199.28/32.93 | | | | | | | | | COMBINE_EQS: (339), (3664) imply:
% 199.28/32.93 | | | | | | | | | (3668) all_22_2 = e2
% 199.28/32.93 | | | | | | | | |
% 199.28/32.93 | | | | | | | | | REDUCE: (360), (3664) imply:
% 199.28/32.93 | | | | | | | | | (3669) ~ (all_52_1 = e2)
% 199.28/32.93 | | | | | | | | |
% 199.28/32.93 | | | | | | | | | REDUCE: (366), (3664) imply:
% 199.28/32.93 | | | | | | | | | (3670) ~ (all_52_4 = e2)
% 199.28/32.93 | | | | | | | | |
% 199.28/32.93 | | | | | | | | | REDUCE: (355), (3664) imply:
% 199.28/32.93 | | | | | | | | | (3671) ~ (e3 = e2)
% 199.28/32.93 | | | | | | | | |
% 199.28/32.93 | | | | | | | | | REDUCE: (51), (3664) imply:
% 199.28/32.93 | | | | | | | | | (3672) op(e3, e3) = e2
% 199.28/32.93 | | | | | | | | |
% 199.28/32.93 | | | | | | | | | BETA: splitting (64) gives:
% 199.28/32.93 | | | | | | | | |
% 199.28/32.93 | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | (3673) ~ (all_22_2 = e2)
% 199.28/32.93 | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | REDUCE: (3668), (3673) imply:
% 199.28/32.93 | | | | | | | | | | (3674) $false
% 199.28/32.93 | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | CLOSE: (3674) is inconsistent.
% 199.28/32.93 | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | (3675) op(e2, e3) = all_22_1 & $i(all_22_1) & ( ~
% 199.28/32.93 | | | | | | | | | | (all_22_1 = e0) | ( ~ (all_22_0 = e1) & op(e0,
% 199.28/32.93 | | | | | | | | | | e3) = all_22_0 & $i(all_22_0)))
% 199.28/32.93 | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | ALPHA: (3675) implies:
% 199.28/32.93 | | | | | | | | | | (3676) op(e2, e3) = all_22_1
% 199.28/32.93 | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | BETA: splitting (233) gives:
% 199.28/32.93 | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | (3677) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 199.28/32.93 | | | | | | | | | | | & op(e2, e2) = e2)
% 199.28/32.93 | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (239),
% 199.28/32.93 | | | | | | | | | | | (241), (245), (355), (356), (3672), (3677),
% 199.28/32.93 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.93 | | | | | | | | | | | #623.
% 199.28/32.93 | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | (3678) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 199.28/32.93 | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 199.28/32.93 | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | BETA: splitting (3678) gives:
% 199.28/32.93 | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | (3679) all_58_5 = e2 & op(e2, e1) = e2
% 199.28/32.93 | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | ALPHA: (3679) implies:
% 199.28/32.93 | | | | | | | | | | | | (3680) op(e2, e1) = e2
% 199.28/32.93 | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | REF_CLOSE: (2366), (2402), (3680), (function-axioms) are
% 199.28/32.93 | | | | | | | | | | | | inconsistent by sub-proof #622.
% 199.28/32.93 | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | (3681) all_58_10 = e2 & op(e2, e0) = e2
% 199.28/32.93 | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | ALPHA: (3681) implies:
% 199.28/32.93 | | | | | | | | | | | | (3682) all_58_10 = e2
% 199.28/32.93 | | | | | | | | | | | | (3683) op(e2, e0) = e2
% 199.28/32.93 | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | BETA: splitting (237) gives:
% 199.28/32.93 | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | (3684) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 199.28/32.93 | | | | | | | | | | | | | & op(e2, e2) = e2)
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | BETA: splitting (3684) gives:
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | (3685) all_58_1 = e2 & op(e3, e2) = e2
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | ALPHA: (3685) implies:
% 199.28/32.93 | | | | | | | | | | | | | | (3686) op(e3, e2) = e2
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 199.28/32.93 | | | | | | | | | | | | | | e2, e3, simplifying with (170), (3686) gives:
% 199.28/32.93 | | | | | | | | | | | | | | (3687) all_52_4 = e2
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REDUCE: (3670), (3687) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3688) $false
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | CLOSE: (3688) is inconsistent.
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | (3689) all_58_3 = e2 & op(e2, e2) = e2
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (3689), (function-axioms) are
% 199.28/32.93 | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | End of split
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | (3690) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 199.28/32.93 | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | BETA: splitting (3690) gives:
% 199.28/32.93 | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | (3691) all_58_7 = e2 & op(e1, e2) = e2
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | ALPHA: (3691) implies:
% 199.28/32.93 | | | | | | | | | | | | | | (3692) op(e1, e2) = e2
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 199.28/32.93 | | | | | | | | | | | | | | e2, e1, simplifying with (162), (3692) gives:
% 199.28/32.93 | | | | | | | | | | | | | | (3693) all_52_6 = e2
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REDUCE: (2372), (3693) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3694) $false
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | CLOSE: (3694) is inconsistent.
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | (3695) all_58_13 = e2 & op(e0, e2) = e2
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | ALPHA: (3695) implies:
% 199.28/32.93 | | | | | | | | | | | | | | (3696) all_58_13 = e2
% 199.28/32.93 | | | | | | | | | | | | | | (3697) op(e0, e2) = e2
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 199.28/32.93 | | | | | | | | | | | | | | e2, e0, simplifying with (158), (3697) gives:
% 199.28/32.93 | | | | | | | | | | | | | | (3698) all_52_7 = e2
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 199.28/32.93 | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (3683) gives:
% 199.28/32.93 | | | | | | | | | | | | | | (3699) all_52_13 = e2
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 199.28/32.93 | | | | | | | | | | | | | | all_14_1, e3, e2, simplifying with (167), (3666)
% 199.28/32.93 | | | | | | | | | | | | | | gives:
% 199.28/32.93 | | | | | | | | | | | | | | (3700) all_52_1 = all_14_1
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 199.28/32.93 | | | | | | | | | | | | | | all_22_1, e3, e2, simplifying with (167), (3676)
% 199.28/32.93 | | | | | | | | | | | | | | gives:
% 199.28/32.93 | | | | | | | | | | | | | | (3701) all_52_1 = all_22_1
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | COMBINE_EQS: (3700), (3701) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3702) all_22_1 = all_14_1
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | COMBINE_EQS: (279), (3700) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3703) all_54_4 = all_14_1
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REDUCE: (149), (3700) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3704) ~ (all_52_2 = all_14_1)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | SIMP: (3704) implies:
% 199.28/32.93 | | | | | | | | | | | | | | (3705) ~ (all_52_2 = all_14_1)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REDUCE: (148), (3700) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3706) ~ (all_52_3 = all_14_1)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | SIMP: (3706) implies:
% 199.28/32.93 | | | | | | | | | | | | | | (3707) ~ (all_52_3 = all_14_1)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REDUCE: (2395), (3700) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3708) ~ (all_14_1 = all_8_1)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REDUCE: (371), (3700) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3709) ~ (all_14_1 = all_6_2)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REDUCE: (3669), (3700) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3710) ~ (all_14_1 = e2)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REDUCE: (140), (3698) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3711) ~ (all_52_3 = e2)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REDUCE: (125), (3698) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3712) ~ (all_52_11 = e2)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REDUCE: (113), (3699) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3713) ~ (all_52_12 = e2)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REDUCE: (110), (3699) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3714) ~ (all_52_14 = e2)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REDUCE: (393), (3699) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3715) ~ (all_10_2 = e2)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | SIMP: (3715) implies:
% 199.28/32.93 | | | | | | | | | | | | | | (3716) ~ (all_10_2 = e2)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REDUCE: (2400), (3699) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3717) ~ (all_8_1 = e2)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | REDUCE: (382), (3699) imply:
% 199.28/32.93 | | | | | | | | | | | | | | (3718) ~ (all_6_2 = e2)
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 199.28/32.93 | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | (3719) all_54_15 = e3
% 199.28/32.93 | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | REF_CLOSE: (298), (2403), (3719) are inconsistent by
% 199.28/32.93 | | | | | | | | | | | | | | | sub-proof #1381.
% 199.28/32.93 | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | (3720) ~ (all_54_15 = e3)
% 199.28/32.93 | | | | | | | | | | | | | | | (3721) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 199.28/32.93 | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | BETA: splitting (3721) gives:
% 199.28/32.93 | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | (3722) all_54_15 = e2
% 199.28/32.93 | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | REF_CLOSE: (298), (3716), (3722) are inconsistent by
% 199.28/32.93 | | | | | | | | | | | | | | | | sub-proof #1380.
% 199.28/32.93 | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | Case 2:
% 199.28/32.93 | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | (3723) ~ (all_54_15 = e2)
% 199.28/32.93 | | | | | | | | | | | | | | | | (3724) all_54_15 = e1 | all_54_15 = e0
% 199.28/32.93 | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | BETA: splitting (3724) gives:
% 199.28/32.93 | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.93 | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | (3725) all_54_15 = e1
% 199.28/32.93 | | | | | | | | | | | | | | | | |
% 199.28/32.93 | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (3725) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | (3726) all_10_2 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | SIMP: (3726) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | (3727) all_10_2 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (3727) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | (3728) all_40_2 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (3727) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | (3729) all_56_15 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | REDUCE: (373), (3727) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | (3730) ~ (all_52_3 = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | REDUCE: (391), (3727) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | (3731) ~ (all_52_11 = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | REDUCE: (392), (3727) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | (3732) ~ (all_52_12 = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | REDUCE: (394), (3727) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | (3733) ~ (all_52_14 = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | REDUCE: (2403), (3727) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | (3734) ~ (e3 = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | REDUCE: (3716), (3727) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | (3735) ~ (e2 = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | REDUCE: (45), (3727) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | (3736) op(e0, e0) = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | (3737) ~ (all_40_2 = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | REDUCE: (3728), (3737) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | (3738) $false
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | CLOSE: (3738) is inconsistent.
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | (3739) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 199.28/32.94 | | | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 199.28/32.94 | | | | | | | | | | | | | | | | | | e0) = all_40_0 & $i(all_40_0)))
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | ALPHA: (3739) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | (3740) op(e1, e0) = all_40_1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | (3741) ~ (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 199.28/32.94 | | | | | | | | | | | | | | | | | | e0) = all_40_0 & $i(all_40_0))
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 199.28/32.94 | | | | | | | | | | | | | | | | | | all_40_1, e0, e1, simplifying with (160), (3740)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | (3742) all_52_14 = all_40_1
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (3742) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | (3743) all_54_11 = all_40_1
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | REDUCE: (141), (3742) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | (3744) ~ (all_52_2 = all_40_1)
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | REDUCE: (126), (3742) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | (3745) ~ (all_52_6 = all_40_1)
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | REDUCE: (112), (3742) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | (3746) ~ (all_52_12 = all_40_1)
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | REDUCE: (2376), (3742) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | (3747) ~ (all_40_1 = e2)
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | REDUCE: (3733), (3742) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | (3748) ~ (all_40_1 = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | (3749) ~ (all_16_2 = e3)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | REDUCE: (345), (3749) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | (3750) ~ (all_6_2 = e3)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | (3751) all_54_5 = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (3750), (3751) are inconsistent by
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | sub-proof #1928.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | (3752) ~ (all_54_5 = e3)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | (3753) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3753) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | (3754) all_54_5 = e2
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (356), (3754) are inconsistent by sub-proof
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | #1927.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | (3755) ~ (all_54_5 = e2)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | (3756) all_54_5 = e1 | all_54_5 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3756) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | (3757) all_54_5 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (396), (3757) are inconsistent by sub-proof
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | #1926.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | (3758) all_54_5 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (3758) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | (3759) all_6_2 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3759) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | (3760) all_6_2 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3709), (3760) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | (3761) ~ (all_14_1 = e0)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2401), (3760) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | (3762) ~ (all_8_1 = e0)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3750), (3760) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | (3763) ~ (e3 = e0)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (3760) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | (3764) ~ (e2 = e0)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (3760) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | (3765) ~ (e1 = e0)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (3760) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | (3766) op(e2, e2) = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | (3767) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3767) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | (3768) all_58_1 = e0 & op(e3, e2) = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3768) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | (3769) all_58_1 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | (3770) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3766), (3769), (3770), (function-axioms) are
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #902.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | (3771) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3771) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) all_58_7 = e3 & op(e1, e2) = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3772) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) all_58_7 = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (3672), (3769), (3774),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1122.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3775) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) all_58_4 = e1 & op(e3, e1) = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3776) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) all_58_4 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3778) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) all_58_1 = e1 & op(e3, e2) = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3769), (3779) are inconsistent by sub-proof
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1799.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) all_58_3 = e1 & op(e2, e2) = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2366), (3762), (3777), (3781),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #893.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3782) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) all_58_8 = e0 & op(e1, e1) = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3783) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) all_58_8 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2384), (3784) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) e2 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3785) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) e2 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3682), (3786) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) all_58_10 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3788) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) all_58_2 = e2 & op(e2, e3) = e2
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3789) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) all_58_2 = e2
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (3672), (3790), (function-axioms)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1234.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) all_58_3 = e2 & op(e2, e2) = e2
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3791) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) all_58_3 = e2
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (236), (3696), (3769), (3773),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) are inconsistent by sub-proof #620.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3678) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) all_58_5 = e2 & op(e2, e1) = e2
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3793) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) all_58_5 = e2
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3780) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) all_58_3 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) op(e2, e2) = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e2,
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3766), (3796) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) e1 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3795), (3797) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) all_58_3 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (234), (3766),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787), (3794), (3798), (function-axioms) are
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #993.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3681), (3787) are inconsistent by sub-proof
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1521.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) all_58_14 = e0 & op(e0, e1) = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3799) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) all_58_14 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3801) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) all_58_12 = e3 & op(e0, e3) = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3802) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) all_58_12 = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) all_58_15 = e0 & op(e0, e0) = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (3804), (function-axioms) are
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3805) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3807) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) all_58_6 = e1 & op(e1, e3) = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3808) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) all_58_6 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (234), (239),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672), (3682), (3683), (3766), (3803), (3809),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #618.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) all_58_7 = e1 & op(e1, e2) = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3810) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) all_58_7 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3773), (3811) are inconsistent by sub-proof
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1803.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (218),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (358), (2384), (3682), (3696),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736), (3803), (3806), (3812), (function-axioms)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #615.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) all_58_13 = e3 & op(e0, e2) = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3813) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) all_58_13 = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3696), (3814) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) e3 = e2
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3815) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) e3 = e2
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3773), (3816) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) all_58_7 = e2
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (236), (238), (3766),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769), (3814), (3817), (function-axioms) are
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #614.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3818) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) all_58_14 = e3 & op(e0, e1) = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3819) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) all_58_14 = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3800), (3820) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) e3 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3773), (3821) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) all_58_7 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (218),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (224), (227), (232), (233),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (242),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (2366), (2384), (3672), (3682), (3683),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696), (3736), (3762), (3766), (3822),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #610.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) all_58_15 = e3 & op(e0, e0) = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3823) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) op(e0, e0) = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3736), (3824), (function-axioms) are
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3825) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) all_58_7 = e1 & op(e1, e2) = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3773), (3826) are inconsistent by sub-proof
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1727.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) all_58_13 = e1 & op(e0, e2) = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3696), (3827) are inconsistent by sub-proof
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1672.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) all_58_9 = e1 & op(e3, e0) = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (216), (222),
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (3682), (3736), (3828), (function-axioms)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #611.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (3829) all_58_13 = e3 & op(e0, e2) = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3829) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (3830) all_58_13 = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3696), (3830) are inconsistent by sub-proof
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | #1825.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | (3831) all_58_3 = e0 & op(e2, e2) = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3831) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | (3832) all_58_3 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | (3833) all_54_14 = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (3833) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | (3834) all_52_11 = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (3834) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | (3835) ~ (all_52_8 = e3)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2398), (3834) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | (3836) ~ (all_8_1 = e3)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3836) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | (3837) ~ (all_8_1 = e3)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (3834) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | (3838) op(e0, e1) = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (3839) all_54_6 = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2394), (3837), (3839) are inconsistent by
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (3840) ~ (all_54_6 = e3)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (3841) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3841) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3842) all_54_6 = e2
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2394), (2402), (3842) are inconsistent by
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #946.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843) ~ (all_54_6 = e2)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3844) all_54_6 = e1 | all_54_6 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3844) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3845) all_54_6 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2394), (3845) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3846) all_8_1 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3846) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3847) all_8_1 = e1
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2396), (3847) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3848) ~ (all_52_8 = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3708), (3847) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3849) ~ (all_14_1 = e1)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3850) all_54_2 = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (3835), (3850) are inconsistent by
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #983.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3851) ~ (all_54_2 = e3)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3852) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3853) all_54_4 = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3703), (3853) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3854) all_14_1 = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3854) implies:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3855) all_14_1 = e3
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3705), (3855) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3856) ~ (all_52_2 = e3)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3707), (3855) imply:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857) ~ (all_52_3 = e3)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3852) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3858) all_54_2 = e2
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (2373), (3858) are inconsistent by
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #982.
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3859) ~ (all_54_2 = e2)
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3860) all_54_2 = e1 | all_54_2 = e0
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3861) all_58_15 = e0 & op(e0, e0) = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (3861), (function-axioms) are
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3862) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3862) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3863) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3864) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3865) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (51), (159), (163), (245), (355),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3832), (3856), (3857), (3865), (function-axioms)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #606.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3866) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3866) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867) all_58_5 = e1 & op(e2, e1) = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3867) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868) all_58_5 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3869) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3869) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3870) all_58_2 = e3 & op(e2, e3) = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3870) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3871) all_58_2 = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3860) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3872) all_54_2 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (3848), (3872) are inconsistent by
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #944.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3873) all_54_2 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (3873) imply:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3874) all_52_8 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3874) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3875) all_52_8 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (3875) imply:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3876) ~ (all_52_4 = e0)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (3875) imply:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877) ~ (all_52_12 = e0)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3877) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3878) ~ (all_52_12 = e0)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (3875) imply:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3879) op(e3, e1) = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3880) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3880) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3881) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3881) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3882) op(e1, e2) = all_56_7
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3883) all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 & $i(all_56_6))
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3884) ~ (all_56_14 = e2) | all_56_7 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3885) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (51), (159), (163), (245), (355),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672), (3856), (3857), (3885), (function-axioms)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #605.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3886) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3886) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3887) all_58_6 = e1 & op(e1, e3) = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3887) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3888) all_58_6 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3889) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3889) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3890) all_58_6 = e0 & op(e1, e3) = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3890) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3891) all_58_6 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3888), (3891) imply:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3892) e1 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3892) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3893) e1 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3868), (3893) imply:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3894) all_58_5 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (3683), (3766), (3871),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3894), (function-axioms) are inconsistent by
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #846.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3895) all_58_7 = e0 & op(e1, e2) = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3895) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3896) all_58_7 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (218),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (224), (227), (232), (233),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (242),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (2366), (2384), (3672), (3682), (3683),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696), (3736), (3762), (3766), (3896),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #610.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3897) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3897) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3898) all_58_8 = e0 & op(e1, e1) = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (233), (234),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (3682), (3766), (3898), (function-axioms)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #613.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3899) all_58_11 = e0 & op(e1, e0) = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3899) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3900) all_58_11 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3901) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3901) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3902) all_58_0 = e1 & op(e3, e3) = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3902) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3903) op(e3, e3) = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3672), (3903), (function-axioms) are
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3904) all_58_1 = e1 & op(e3, e2) = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3904) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3905) all_58_1 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3906) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3906) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907) all_58_1 = e3 & op(e3, e2) = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (3856),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857), (3871), (3905), (3907), (function-axioms)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #604.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3908) all_58_3 = e3 & op(e2, e2) = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3908) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3909) op(e2, e2) = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (2384), (3696), (3888), (3900), (3905),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3909), (function-axioms) are inconsistent by
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #603.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3910) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3910) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3911) all_58_7 = e3 & op(e1, e2) = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3911) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3912) all_58_7 = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3913) op(e1, e2) = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (238), (2370), (3696), (3832),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3882), (3883), (3884), (3905), (3912), (3913),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #967.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3914) all_58_13 = e3 & op(e0, e2) = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3914) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3915) all_58_13 = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (3672), (3696), (3871), (3915),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1105.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3916) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3916) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3917) all_58_4 = e1 & op(e3, e1) = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3917) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3918) all_58_4 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (227), (230), (2384),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868), (3918) are inconsistent by sub-proof #602.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3919) all_58_9 = e1 & op(e3, e0) = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3919) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3920) all_58_9 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (222), (3682), (3736), (3900),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3920), (function-axioms) are inconsistent by
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #955.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3921) all_58_12 = e1 & op(e0, e3) = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3921) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3922) all_58_12 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3923) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (234),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672), (3682), (3683), (3766), (3923),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #619.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3924) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3924) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3925) all_58_6 = e0 & op(e1, e3) = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3925) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3926) all_58_6 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3927) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3927) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3928) all_58_6 = e1 & op(e1, e3) = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3928) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3929) all_58_6 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3926), (3929) imply:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3930) e1 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3868), (3930) imply:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3931) all_58_5 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (3683), (3766), (3871),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3931), (function-axioms) are inconsistent by
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #846.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3932) all_58_7 = e1 & op(e1, e2) = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3932) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3933) all_58_7 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3934) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (238), (3672), (3696), (3832),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3933), (3934), (function-axioms) are inconsistent
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1046.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3935) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3935) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3936) all_58_4 = e1 & op(e3, e1) = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3936) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3937) all_58_4 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (227), (230), (2384),
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868), (3937) are inconsistent by sub-proof #602.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3938) all_58_9 = e1 & op(e3, e0) = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3938) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3939) all_58_9 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3940) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (3682), (3939), (3940) are inconsistent
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #957.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3941) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3941) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3942) all_58_11 = e3 & op(e1, e0) = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3942) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3943) all_58_11 = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3863) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3944) all_58_12 = e0 & op(e0, e3) = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3944) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3945) all_58_12 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3922), (3945) are inconsistent by sub-proof
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1237.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3946) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3946) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3947) all_58_13 = e0 & op(e0, e2) = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3947) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3948) all_58_13 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3696), (3948) are inconsistent by sub-proof
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1372.
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3949) all_58_14 = e0 & op(e0, e1) = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3949) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3950) all_58_14 = e0
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3951) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3951) gives:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3952) all_58_12 = e3 & op(e0, e3) = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3952) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3953) all_58_12 = e3
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3922), (3953) imply:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3954) e3 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3954) implies:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3955) e3 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3943), (3955) imply:
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3956) all_58_11 = e1
% 199.28/32.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (221),
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (358), (3682), (3736), (3956),
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #616.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3957) all_58_13 = e3 & op(e0, e2) = e3
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3696), (3957) are inconsistent by sub-proof
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1838.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3958) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3958) gives:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3959) all_58_14 = e3 & op(e0, e1) = e3
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3959) implies:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3960) all_58_14 = e3
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3950), (3960) imply:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961) e3 = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3961) implies:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3962) e3 = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3943), (3962) imply:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3963) all_58_11 = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (222), (3682), (3736), (3939),
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3963), (function-axioms) are inconsistent by
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #955.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964) all_58_15 = e3 & op(e0, e0) = e3
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3964) implies:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3965) op(e0, e0) = e3
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3736), (3965), (function-axioms) are
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3966) all_58_15 = e3 & op(e0, e0) = e3
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3966) implies:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3967) op(e0, e0) = e3
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3736), (3967), (function-axioms) are
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3968) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3968) gives:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3969) all_58_8 = e1 & op(e1, e1) = e1
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2384), (3969) are inconsistent by sub-proof
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1018.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970) all_58_11 = e1 & op(e1, e0) = e1
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3970) implies:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971) all_58_11 = e1
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (221),
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (358), (3682), (3736), (3971),
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #616.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3972) all_58_12 = e0 & op(e0, e3) = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3972) implies:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3973) all_58_12 = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3922), (3973) imply:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3974) e1 = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3868), (3974) imply:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3975) all_58_5 = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (3683), (3766), (3871),
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3975), (function-axioms) are inconsistent by
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #846.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3976) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3976) implies:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3977) op(e0, e1) = all_56_11
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3978) all_56_11 = e3 | ( ~ (all_56_9 = e1) & op(e0, e3)
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3979) ~ (all_56_15 = e1) | all_56_11 = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3979) gives:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3980) ~ (all_56_15 = e1)
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3729), (3980) imply:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981) $false
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3981) is inconsistent.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3982) all_56_11 = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3978) gives:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3983) all_56_11 = e3
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3982), (3983) imply:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3984) e3 = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3984) implies:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3985) e3 = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3871), (3985) imply:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3986) all_58_2 = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (234), (3682),
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683), (3766), (3986), (function-axioms) are
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #756.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3987) ~ (all_56_11 = e3)
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3838), (3977), (3987), (function-axioms) are
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #832.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3988) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3988) gives:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3989) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3989) implies:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3990) op(e3, e0) = all_56_2
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3991) all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1) =
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_1 & $i(all_56_1))
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3992) all_54_3 = e3
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (3992) imply:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3993) all_52_12 = e3
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3993) implies:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3994) all_52_12 = e3
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3994) imply:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3995) ~ (all_52_4 = e3)
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (3994) imply:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3996) op(e3, e0) = e3
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3997) all_54_1 = e3
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (3995), (3997) are inconsistent by
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1709.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3998) ~ (all_54_1 = e3)
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3999) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3991) gives:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4000) all_56_2 = e1
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3990), (4000) imply:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4001) op(e3, e0) = e1
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3999) gives:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4002) all_54_1 = e2
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (3670), (4002) are inconsistent by
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1779.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4003) all_54_1 = e1 | all_54_1 = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (159), (163), (245), (282), (355), (3856),
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857), (3871), (3876), (3995), (3996), (4001),
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4003), (function-axioms) are inconsistent by
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #601.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4004) ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1)
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4004) implies:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4005) ~ (all_56_1 = e0)
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4006) op(e3, e1) = all_56_1
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3879), (4005), (4006), (function-axioms) are
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1071.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4007) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (3713), (3732), (3878), (4007) are
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1698.
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.28/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4008) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4008) implies:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4009) op(e1, e3) = all_56_6
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4010) all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) =
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4011) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4011) gives:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4012) all_58_0 = e1 & op(e3, e3) = e1
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4012) implies:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4013) op(e3, e3) = e1
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3672), (4013), (function-axioms) are
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4014) all_58_1 = e1 & op(e3, e2) = e1
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4014) implies:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4015) all_58_1 = e1
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4016) gives:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017) all_58_1 = e3 & op(e3, e2) = e3
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (3856),
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857), (3871), (4015), (4017), (function-axioms)
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #604.
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4018) all_58_3 = e3 & op(e2, e2) = e3
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4018) implies:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4019) op(e2, e2) = e3
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (231), (232), (3682),
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683), (3871), (4019), (function-axioms) are
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #744.
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4020) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4020) gives:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4021) all_58_7 = e3 & op(e1, e2) = e3
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4021) implies:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4022) op(e1, e2) = e3
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2371), (4009), (4010), (4022),
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #961.
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4023) all_58_13 = e3 & op(e0, e2) = e3
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4023) implies:
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4024) all_58_13 = e3
% 199.55/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (3672), (3696), (3871), (4024),
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1105.
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 199.56/32.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (222), (227), (230),
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (3682), (3736), (3864), (3868), (4025),
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #600.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4026) all_58_3 = e3 & op(e2, e2) = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4026) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4027) op(e2, e2) = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3766), (4027), (function-axioms) are
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2366), (3682), (3837), (4028),
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #599.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4029) all_58_10 = e1 & op(e2, e0) = e1
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4029) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4030) op(e2, e0) = e1
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3683), (4030), (function-axioms) are
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1785.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4031) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3703), (3710), (3761), (3849), (4031) are
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #598.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4032) all_54_6 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2394), (3762), (4032) are inconsistent by
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #942.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4033) ~ (all_54_14 = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4034) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (255), (4033) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4035) ~ (all_52_11 = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (4036) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4036) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4037) all_58_12 = e3 & op(e0, e3) = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4037) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4038) all_58_12 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4034) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4039) all_54_14 = e2
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (2375), (4039) are inconsistent by
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1518.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4040) all_54_14 = e1 | all_54_14 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4041) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (234),
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672), (3682), (3683), (3766), (4041),
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #619.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4042) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4042) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4043) all_58_6 = e0 & op(e1, e3) = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4043) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4044) op(e1, e3) = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4040) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4045) all_54_14 = e1
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (3731), (4045) are inconsistent by
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1517.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4046) all_54_14 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (4046) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4047) all_52_11 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4047) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4048) all_52_11 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (4048) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4049) ~ (all_52_3 = e0)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4050) all_54_12 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (4050) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051) all_52_3 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3707), (4051) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4052) ~ (all_14_1 = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4052) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4053) ~ (all_14_1 = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4054) all_54_4 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3703), (4053), (4054) are inconsistent by
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1219.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4055) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4055) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4056) all_54_4 = e2
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3703), (3710), (4056) are inconsistent by
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1218.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4057) all_54_4 = e1 | all_54_4 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3667) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4058) ~ (all_14_1 = e1)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3703), (3761), (4057), (4058) are inconsistent by
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1215.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4059) ~ (all_14_0 = e0) & op(e1, e3) = all_14_0 &
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_0)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4059) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4060) ~ (all_14_0 = e0)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4061) op(e1, e3) = all_14_0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_14_0,
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (4044), (4061) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4062) all_14_0 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4060), (4062) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4063) $false
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4063) is inconsistent.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4064) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (3711), (3730), (4049), (4064) are
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4065) all_58_12 = e0 & op(e0, e3) = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4038), (4065) are inconsistent by sub-proof
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1532.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4066) all_58_13 = e3 & op(e0, e2) = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4066) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4067) all_58_13 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3696), (4067) are inconsistent by sub-proof
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1825.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (4068) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3736), (4035), (4068),
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | #1840.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | (4069) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4069) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (4070) all_58_7 = e0 & op(e1, e2) = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4070) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (4071) all_58_7 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (218),
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (224), (227), (232), (233),
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (242),
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (358), (2366), (2384), (3672), (3682), (3683),
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (3696), (3736), (3762), (3766), (4071),
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | #610.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (4072) all_58_13 = e0 & op(e0, e2) = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4072) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (4073) all_58_13 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3696), (4073) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (4074) e2 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3682), (4074) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (4075) all_58_10 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (233), (234),
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (3766), (4075), (function-axioms) are inconsistent
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #755.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.97 | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | (4076) all_16_2 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | (4077) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0)))
% 199.56/32.97 | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | ALPHA: (4077) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | (4078) op(e3, e2) = all_16_1
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | (4079) ~ (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0))
% 199.56/32.97 | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (4076) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | (4080) all_6_2 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | SIMP: (4080) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | (4081) all_6_2 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | REDUCE: (374), (4081) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | (4082) ~ (all_52_4 = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | REDUCE: (376), (4081) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | (4083) ~ (all_52_6 = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | REDUCE: (2401), (4081) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | (4084) ~ (all_8_1 = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (4081) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | (4085) op(e2, e2) = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | (4086) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4086) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (4087) all_58_2 = e3 & op(e2, e3) = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4087) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (4088) all_58_2 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (231), (232), (3682),
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (3683), (4085), (4088), (function-axioms) are
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #744.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (4089) all_58_3 = e3 & op(e2, e2) = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4089) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (4090) all_58_3 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | all_16_1, e2, e3, simplifying with (170), (4078)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (4091) all_52_4 = all_16_1
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (4091) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (4092) all_54_1 = all_16_1
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (4091) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (4093) ~ (all_52_6 = all_16_1)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | SIMP: (4093) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (4094) ~ (all_52_6 = all_16_1)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (4091) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (4095) ~ (all_52_8 = all_16_1)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | SIMP: (4095) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (4096) ~ (all_52_8 = all_16_1)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (4091) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (4097) ~ (all_52_12 = all_16_1)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | SIMP: (4097) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (4098) ~ (all_52_12 = all_16_1)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4082), (4091) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (4099) ~ (all_16_1 = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3670), (4091) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | (4100) ~ (all_16_1 = e2)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | (4101) all_54_3 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (4101) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | (4102) all_52_12 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4102) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | (4103) all_52_12 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (4103) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | (4104) ~ (all_52_8 = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3746), (4103) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | (4105) ~ (all_40_1 = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4105) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | (4106) ~ (all_40_1 = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4098), (4103) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | (4107) ~ (all_16_1 = e3)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | (4108) all_54_11 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3743), (4108) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | (4109) all_40_1 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4106), (4109) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | (4110) $false
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4110) is inconsistent.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | (4111) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4111) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (4112) all_54_11 = e2
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3743), (4112) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (4113) all_40_1 = e2
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3747), (4113) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (4114) $false
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4114) is inconsistent.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | (4115) all_54_11 = e1 | all_54_11 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4115) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4116) all_54_11 = e1
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3743), (4116) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4117) all_40_1 = e1
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3748), (4117) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4118) $false
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4118) is inconsistent.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4119) all_54_11 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3743), (4119) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4120) all_40_1 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3745), (4120) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4121) ~ (all_52_6 = e0)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (4122) all_54_9 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (4083), (4122) are inconsistent by
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1690.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (4123) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4123) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4124) all_54_9 = e2
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (2372), (4124) are inconsistent by
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1773.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4125) all_54_9 = e1 | all_54_9 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4125) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4126) all_54_9 = e1
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (4126) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4127) all_52_6 = e1
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4127) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4128) all_52_6 = e1
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4094), (4128) imply:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4129) ~ (all_16_1 = e1)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4129) implies:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4130) ~ (all_16_1 = e1)
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4131) all_54_1 = e3
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4092), (4099), (4131) are inconsistent by
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #597.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4132) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4132) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4133) all_54_1 = e2
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4092), (4100), (4133) are inconsistent by
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #725.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4134) all_54_1 = e1 | all_54_1 = e0
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4134) gives:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4135) all_54_1 = e1
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4092), (4130), (4135) are inconsistent by
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1280.
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136) all_54_1 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4092), (4136) imply:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4137) all_16_1 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4137) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4138) all_16_1 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4096), (4138) imply:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4139) ~ (all_52_8 = e0)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4140) all_54_2 = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (4104), (4140) are inconsistent by
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #983.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4141) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (190), (198), (255), (281), (2367),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373), (2375), (2394), (2396), (2398), (2402),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4084), (4139), (4141), (function-axioms) are
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #708.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4142) all_54_9 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (4121), (4142) are inconsistent by
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1772.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | (4143) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | (4144) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (51), (235), (236),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | (355), (3696), (4085), (4090), (4144),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | #596.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | (4145) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4145) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | (4146) all_58_4 = e3 & op(e3, e1) = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4146) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | (4147) all_58_4 = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | (4148) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4148) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (4149) all_58_4 = e1 & op(e3, e1) = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4147), (4149) are inconsistent by sub-proof
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | #1008.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (4150) all_58_5 = e1 & op(e2, e1) = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4150) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) all_58_5 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4152) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4152) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4153) all_58_9 = e3 & op(e3, e0) = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4153) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) all_58_9 = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4143) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) all_54_3 = e2
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (3713), (4155) are inconsistent by
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1699.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) ~ (all_54_3 = e2)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) all_54_3 = e1 | all_54_3 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4158) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4158) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4159) all_58_0 = e1 & op(e3, e3) = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4159) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4160) op(e3, e3) = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3672), (4160), (function-axioms) are
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4161) all_58_1 = e1 & op(e3, e2) = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4161) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4162) all_58_1 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4163) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4163) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4164) all_58_2 = e0 & op(e2, e3) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4164) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4165) all_58_2 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4166) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4166) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4167) all_58_0 = e1 & op(e3, e3) = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4167) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4168) op(e3, e3) = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (240), (244), (4154),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4162), (4168), (function-axioms) are inconsistent
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1287.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169) all_58_2 = e1 & op(e2, e3) = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4169) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4170) all_58_2 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4165), (4170) are inconsistent by sub-proof
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1419.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4171) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4171) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172) all_58_6 = e1 & op(e1, e3) = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4172) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4173) all_58_6 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4174) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4174) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175) all_58_6 = e3 & op(e1, e3) = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4175) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4176) all_58_6 = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4173), (4176) imply:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4177) e3 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4177) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178) e3 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4147), (4178) imply:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179) all_58_4 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (227), (230), (2384),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151), (4179) are inconsistent by sub-proof #602.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180) all_58_7 = e3 & op(e1, e2) = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4180) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4181) all_58_7 = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4182) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4182) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183) all_58_4 = e0 & op(e3, e1) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4147), (4183) are inconsistent by sub-proof
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #912.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4184) all_58_5 = e0 & op(e2, e1) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4151), (4184) are inconsistent by sub-proof
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1114.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4185) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4185) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4186) all_58_8 = e0 & op(e1, e1) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2384), (4186) are inconsistent by sub-proof
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4187) all_58_14 = e0 & op(e0, e1) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4187) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4188) all_58_14 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4189) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4189) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4190) all_58_1 = e0 & op(e3, e2) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4190) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4191) all_58_1 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4162), (4191) imply:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4192) e1 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4151), (4192) imply:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193) all_58_5 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (228), (2384), (4147), (4188),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193) are inconsistent by sub-proof #880.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4194) all_58_3 = e0 & op(e2, e2) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4194) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4195) op(e2, e2) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (234), (3682), (4151), (4165),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4195), (function-axioms) are inconsistent by
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #757.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4196) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (3696), (4181), (4196) are inconsistent
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #595.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4197) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4197) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198) all_58_8 = e3 & op(e1, e1) = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4198) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4199) all_58_8 = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2384), (4199) imply:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4200) e3 = e2
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4200) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4201) e3 = e2
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4147), (4201) imply:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4202) all_58_4 = e2
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (227), (230), (2384),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151), (4202) are inconsistent by sub-proof #672.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4203) all_58_11 = e3 & op(e1, e0) = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4203) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4204) all_58_11 = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (120), (121),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (160), (190), (193), (202), (203), (216),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (230), (231),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (244), (255), (280), (281), (358),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366), (2373), (2375), (2376), (2384), (2398),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672), (3682), (3696), (3713), (3731), (3732),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736), (3741), (3743), (3746), (3747), (3748),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4079), (4085), (4092), (4096), (4098), (4099),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4100), (4147), (4151), (4157), (4204),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #593.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4205) all_58_12 = e1 & op(e0, e3) = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4205) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4206) all_58_12 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4207) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4207) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4208) all_58_0 = e3 & op(e3, e3) = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (4208), (function-axioms) are
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4209) all_58_2 = e3 & op(e2, e3) = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4209) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) all_58_2 = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (231), (232), (3682),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683), (4085), (4210), (function-axioms) are
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #744.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4211) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4211) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4212) all_58_6 = e3 & op(e1, e3) = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4212) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213) all_58_6 = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4214) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) all_58_0 = e0 & op(e3, e3) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4215) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4216) op(e3, e3) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (163), (241), (243), (2371),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4165), (4213), (4216), (function-axioms) are
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #923.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4217) all_58_1 = e0 & op(e3, e2) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4162), (4217) are inconsistent by sub-proof
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1575.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4218) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4218) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219) all_58_4 = e0 & op(e3, e1) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4147), (4219) are inconsistent by sub-proof
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #912.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220) all_58_9 = e0 & op(e3, e0) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4154), (4220) are inconsistent by sub-proof
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1505.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4221) all_58_12 = e3 & op(e0, e3) = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4221) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4222) all_58_12 = e3
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4206), (4222) imply:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4223) e3 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4223) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4224) e3 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4147), (4224) imply:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4225) all_58_4 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (227), (230), (2384),
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151), (4225) are inconsistent by sub-proof #602.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4226) all_58_3 = e0 & op(e2, e2) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4226) implies:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4227) op(e2, e2) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4085), (4227), (function-axioms) are
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4228) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4228) gives:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4229) all_58_5 = e0 & op(e2, e1) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4151), (4229) are inconsistent by sub-proof
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1114.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4230) all_58_10 = e0 & op(e2, e0) = e0
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3682), (4230) are inconsistent by sub-proof
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1313.
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4231) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 199.56/32.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4231) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4232) all_58_4 = e1 & op(e3, e1) = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4232) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4233) all_58_4 = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (227), (230), (2384),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151), (4233) are inconsistent by sub-proof #602.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4234) all_58_9 = e1 & op(e3, e0) = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (216), (222),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (3682), (3736), (4234), (function-axioms)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #611.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4235) all_58_10 = e3 & op(e2, e0) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4235) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4236) all_58_10 = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3682), (4236) imply:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4237) e3 = e2
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4237) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4238) e3 = e2
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4147), (4238) imply:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4239) all_58_4 = e2
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (227), (230), (2384),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151), (4239) are inconsistent by sub-proof #672.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4240) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4240) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4241) all_58_11 = e3 & op(e1, e0) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4241) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4242) all_58_11 = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4143) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4243) all_54_3 = e2
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (3713), (4243) are inconsistent by
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1699.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4244) ~ (all_54_3 = e2)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4245) all_54_3 = e1 | all_54_3 = e0
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (120), (121),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (160), (190), (193), (202), (203), (216),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (227), (230), (231),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (244), (255), (280), (281), (358),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366), (2373), (2375), (2376), (2384), (2398),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672), (3682), (3696), (3713), (3731), (3732),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736), (3741), (3743), (3746), (3747), (3748),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4079), (4085), (4092), (4096), (4098), (4099),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4100), (4147), (4151), (4242), (4245),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #593.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4246) all_58_15 = e3 & op(e0, e0) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4246) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247) op(e0, e0) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3736), (4247), (function-axioms) are
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | (4248) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4248) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4249) all_58_8 = e1 & op(e1, e1) = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2384), (4249) are inconsistent by sub-proof
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | #950.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4250) all_58_14 = e1 & op(e0, e1) = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4250) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4251) all_58_14 = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4252) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4252) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4253) all_58_9 = e3 & op(e3, e0) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4253) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) all_58_9 = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4255) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4255) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4256) all_58_12 = e3 & op(e0, e3) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4256) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4257) all_58_12 = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (45), (216), (218),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (3736), (4251), (4257), (function-axioms)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1303.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4258) all_58_13 = e3 & op(e0, e2) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4258) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4259) all_58_13 = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3696), (4259) imply:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4260) e3 = e2
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4260) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261) e3 = e2
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4147), (4261) imply:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262) all_58_4 = e2
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (230),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366), (2384), (4084), (4262), (function-axioms)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #654.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4263) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4263) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) all_58_14 = e3 & op(e0, e1) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4264) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4265) all_58_14 = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4251), (4265) imply:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4266) e3 = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4266) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4267) e3 = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4254), (4267) imply:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4268) all_58_9 = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (3682), (4252), (4268) are inconsistent
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #957.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4269) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (218),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (358), (3682), (3696),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736), (4251), (4269), (function-axioms) are
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #592.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4270) all_58_15 = e3 & op(e0, e0) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4270) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4271) op(e0, e0) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3736), (4271), (function-axioms) are
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4272) all_58_10 = e3 & op(e2, e0) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4272) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4273) all_58_10 = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3682), (4273) imply:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4274) e3 = e2
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4274) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4275) e3 = e2
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4147), (4275) imply:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4276) all_58_4 = e2
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (230),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366), (2384), (4084), (4276), (function-axioms)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #654.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4277) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (218),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (358), (3682), (3696),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736), (4251), (4277), (function-axioms) are
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #592.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | (4278) all_58_9 = e3 & op(e3, e0) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4278) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | (4279) all_58_9 = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4143) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | (4280) all_54_3 = e2
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (3713), (4280) are inconsistent by
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1699.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | (4281) all_54_3 = e1 | all_54_3 = e0
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4282) all_58_15 = e0 & op(e0, e0) = e0
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (4282), (function-axioms) are
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4283) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4283) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4284) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4284) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4285) all_58_9 = e0 & op(e3, e0) = e0
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4279), (4285) are inconsistent by sub-proof
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1505.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4286) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4286) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4287) all_58_10 = e0 & op(e2, e0) = e0
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3682), (4287) are inconsistent by sub-proof
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1313.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4288) all_58_11 = e0 & op(e1, e0) = e0
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4288) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289) all_58_11 = e0
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4290) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4290) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4291) all_58_6 = e3 & op(e1, e3) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4291) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4292) op(e1, e3) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4281) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4293) all_54_3 = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (3732), (4293) are inconsistent by
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1714.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4294) all_54_3 = e0
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (4294) imply:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4295) all_52_12 = e0
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4295) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4296) all_52_12 = e0
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3746), (4296) imply:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4297) ~ (all_40_1 = e0)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4297) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4298) ~ (all_40_1 = e0)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4299) all_54_11 = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3743), (4299) imply:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) all_40_1 = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3744), (4300) imply:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) ~ (all_52_2 = e3)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4292), (4301), (function-axioms) are
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #609.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3743), (3747), (3748), (4298), (4302) are
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1514.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4303) all_58_7 = e3 & op(e1, e2) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4303) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4304) all_58_7 = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4305) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4305) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4306) all_58_6 = e1 & op(e1, e3) = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4306) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4307) all_58_6 = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4308) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4308) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4309) all_58_1 = e1 & op(e3, e2) = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4309) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4310) all_58_1 = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (2384), (3696), (4085), (4289), (4307),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4310), (function-axioms) are inconsistent by
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #603.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4311) all_58_3 = e1 & op(e2, e2) = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4311) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4312) op(e2, e2) = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4085), (4312), (function-axioms) are
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4313) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4313) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4314) all_58_7 = e1 & op(e1, e2) = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (222), (3682), (3736), (4279),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289), (4304), (4314), (function-axioms) are
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #591.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4315) all_58_13 = e1 & op(e0, e2) = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3696), (4315) are inconsistent by sub-proof
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1672.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4316) all_58_7 = e1 & op(e1, e2) = e1
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (222), (3682), (3736), (4279),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289), (4304), (4316), (function-axioms) are
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #591.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4317) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (221),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (358), (2384), (3682), (3736), (4317),
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #590.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4318) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4318) gives:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4319) all_58_8 = e3 & op(e1, e1) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4319) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4320) all_58_8 = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2384), (4320) are inconsistent by sub-proof
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1897.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4321) all_58_11 = e3 & op(e1, e0) = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4321) implies:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322) all_58_11 = e3
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4289), (4322) are inconsistent by sub-proof
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #951.
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | | End of split
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | |
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 199.56/32.99 | | | | | | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | | | | | | (4323) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 199.56/33.00 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 199.56/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2366), (3682), (4084), (4323),
% 199.56/33.00 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.56/33.00 | | | | | | | | | | | | | | | | | | | | #599.
% 199.56/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | | | | | End of split
% 199.56/33.00 | | | | | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | | | | End of split
% 199.56/33.00 | | | | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | | | End of split
% 199.56/33.00 | | | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | | Case 2:
% 199.56/33.00 | | | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | | | (4324) all_54_15 = e0
% 199.56/33.00 | | | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (358), (4324) are inconsistent by sub-proof
% 199.56/33.00 | | | | | | | | | | | | | | | | | #1323.
% 199.56/33.00 | | | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | | End of split
% 199.56/33.00 | | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | End of split
% 199.56/33.00 | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | End of split
% 199.56/33.00 | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | End of split
% 199.56/33.00 | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | End of split
% 199.56/33.00 | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | End of split
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | End of split
% 199.56/33.00 | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | End of split
% 199.56/33.00 | | | | | | | | |
% 199.56/33.00 | | | | | | | | End of split
% 199.56/33.00 | | | | | | | |
% 199.56/33.00 | | | | | | | Case 2:
% 199.56/33.00 | | | | | | | |
% 199.56/33.00 | | | | | | | | (4325) all_10_2 = e3
% 199.56/33.00 | | | | | | | | (4326) op(e3, e0) = all_10_1 & $i(all_10_1) & ( ~ (all_10_1 =
% 199.56/33.00 | | | | | | | | e2) | ( ~ (all_10_0 = e1) & op(e2, e0) = all_10_0
% 199.56/33.00 | | | | | | | | & $i(all_10_0)))
% 199.56/33.00 | | | | | | | |
% 199.56/33.00 | | | | | | | | ALPHA: (4326) implies:
% 199.56/33.00 | | | | | | | | (4327) op(e3, e0) = all_10_1
% 199.56/33.00 | | | | | | | | (4328) ~ (all_10_1 = e2) | ( ~ (all_10_0 = e1) & op(e2, e0)
% 199.56/33.00 | | | | | | | | = all_10_0 & $i(all_10_0))
% 199.56/33.00 | | | | | | | |
% 199.56/33.00 | | | | | | | | COMBINE_EQS: (337), (4325) imply:
% 199.56/33.00 | | | | | | | | (4329) all_24_2 = e3
% 199.56/33.00 | | | | | | | |
% 199.56/33.00 | | | | | | | | COMBINE_EQS: (254), (4325) imply:
% 199.56/33.00 | | | | | | | | (4330) all_56_15 = e3
% 199.56/33.00 | | | | | | | |
% 199.56/33.00 | | | | | | | | REDUCE: (373), (4325) imply:
% 199.56/33.00 | | | | | | | | (4331) ~ (all_52_3 = e3)
% 199.56/33.00 | | | | | | | |
% 199.56/33.00 | | | | | | | | REDUCE: (384), (4325) imply:
% 199.56/33.00 | | | | | | | | (4332) ~ (all_52_7 = e3)
% 199.56/33.00 | | | | | | | |
% 199.56/33.00 | | | | | | | | REDUCE: (391), (4325) imply:
% 199.56/33.00 | | | | | | | | (4333) ~ (all_52_11 = e3)
% 199.56/33.00 | | | | | | | |
% 199.56/33.00 | | | | | | | | REDUCE: (392), (4325) imply:
% 199.56/33.00 | | | | | | | | (4334) ~ (all_52_12 = e3)
% 199.56/33.00 | | | | | | | |
% 199.56/33.00 | | | | | | | | REDUCE: (393), (4325) imply:
% 199.56/33.00 | | | | | | | | (4335) ~ (all_52_13 = e3)
% 199.56/33.00 | | | | | | | |
% 199.56/33.00 | | | | | | | | REDUCE: (394), (4325) imply:
% 199.56/33.00 | | | | | | | | (4336) ~ (all_52_14 = e3)
% 199.56/33.00 | | | | | | | |
% 199.56/33.00 | | | | | | | | BETA: splitting (219) gives:
% 199.56/33.00 | | | | | | | |
% 199.56/33.00 | | | | | | | | Case 1:
% 199.56/33.00 | | | | | | | | |
% 199.56/33.00 | | | | | | | | | (4337) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 = e3
% 199.56/33.00 | | | | | | | | | & op(e0, e2) = e3)
% 199.56/33.00 | | | | | | | | |
% 199.56/33.00 | | | | | | | | | REF_CLOSE: (158), (159), (4331), (4332), (4337),
% 199.56/33.00 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.56/33.00 | | | | | | | | | #666.
% 199.56/33.00 | | | | | | | | |
% 199.56/33.00 | | | | | | | | Case 2:
% 199.56/33.00 | | | | | | | | |
% 199.56/33.00 | | | | | | | | | (4338) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 = e3
% 199.56/33.00 | | | | | | | | | & op(e0, e0) = e3)
% 199.56/33.00 | | | | | | | | |
% 199.56/33.00 | | | | | | | | | BETA: splitting (4338) gives:
% 199.56/33.00 | | | | | | | | |
% 199.56/33.00 | | | | | | | | | Case 1:
% 199.56/33.00 | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | (4339) all_58_14 = e3 & op(e0, e1) = e3
% 199.56/33.00 | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | ALPHA: (4339) implies:
% 199.56/33.00 | | | | | | | | | | (4340) op(e0, e1) = e3
% 199.56/33.00 | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | REF_CLOSE: (157), (4333), (4340), (function-axioms) are
% 199.56/33.00 | | | | | | | | | | inconsistent by sub-proof #1841.
% 199.56/33.00 | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | Case 2:
% 199.56/33.00 | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | (4341) all_58_15 = e3 & op(e0, e0) = e3
% 199.56/33.00 | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | ALPHA: (4341) implies:
% 199.56/33.00 | | | | | | | | | | (4342) all_58_15 = e3
% 199.56/33.00 | | | | | | | | | | (4343) op(e0, e0) = e3
% 199.56/33.00 | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | BETA: splitting (67) gives:
% 199.56/33.00 | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | Case 1:
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | (4344) ~ (all_24_2 = e3)
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | REDUCE: (4329), (4344) imply:
% 199.56/33.00 | | | | | | | | | | | (4345) $false
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | CLOSE: (4345) is inconsistent.
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | Case 2:
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | (4346) op(e3, e0) = all_24_1 & $i(all_24_1) & ( ~
% 199.56/33.00 | | | | | | | | | | | (all_24_1 = e1) | ( ~ (all_24_0 = e2) & op(e1,
% 199.56/33.00 | | | | | | | | | | | e0) = all_24_0 & $i(all_24_0)))
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | ALPHA: (4346) implies:
% 199.56/33.00 | | | | | | | | | | | (4347) op(e3, e0) = all_24_1
% 199.56/33.00 | | | | | | | | | | | (4348) ~ (all_24_1 = e1) | ( ~ (all_24_0 = e2) & op(e1,
% 199.56/33.00 | | | | | | | | | | | e0) = all_24_0 & $i(all_24_0))
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 199.56/33.00 | | | | | | | | | | | all_10_1, e0, e3, simplifying with (168), (4327)
% 199.56/33.00 | | | | | | | | | | | gives:
% 199.56/33.00 | | | | | | | | | | | (4349) all_52_12 = all_10_1
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 199.56/33.00 | | | | | | | | | | | all_24_1, e0, e3, simplifying with (168), (4347)
% 199.56/33.00 | | | | | | | | | | | gives:
% 199.56/33.00 | | | | | | | | | | | (4350) all_52_12 = all_24_1
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | COMBINE_EQS: (4349), (4350) imply:
% 199.56/33.00 | | | | | | | | | | | (4351) all_24_1 = all_10_1
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | SIMP: (4351) implies:
% 199.56/33.00 | | | | | | | | | | | (4352) all_24_1 = all_10_1
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | COMBINE_EQS: (280), (4349) imply:
% 199.56/33.00 | | | | | | | | | | | (4353) all_54_3 = all_10_1
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | REDUCE: (133), (4349) imply:
% 199.56/33.00 | | | | | | | | | | | (4354) ~ (all_52_4 = all_10_1)
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | REDUCE: (120), (4349) imply:
% 199.56/33.00 | | | | | | | | | | | (4355) ~ (all_52_8 = all_10_1)
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | REDUCE: (113), (4349) imply:
% 199.56/33.00 | | | | | | | | | | | (4356) ~ (all_52_13 = all_10_1)
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | SIMP: (4356) implies:
% 199.56/33.00 | | | | | | | | | | | (4357) ~ (all_52_13 = all_10_1)
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | REDUCE: (112), (4349) imply:
% 199.56/33.00 | | | | | | | | | | | (4358) ~ (all_52_14 = all_10_1)
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | SIMP: (4358) implies:
% 199.56/33.00 | | | | | | | | | | | (4359) ~ (all_52_14 = all_10_1)
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | REDUCE: (370), (4349) imply:
% 199.56/33.00 | | | | | | | | | | | (4360) ~ (all_14_2 = all_10_1)
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | SIMP: (4360) implies:
% 199.56/33.00 | | | | | | | | | | | (4361) ~ (all_14_2 = all_10_1)
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | REDUCE: (4334), (4349) imply:
% 199.56/33.00 | | | | | | | | | | | (4362) ~ (all_10_1 = e3)
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | BETA: splitting (52) gives:
% 199.56/33.00 | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | Case 1:
% 199.56/33.00 | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | (4363) ~ (all_14_2 = e2)
% 199.56/33.00 | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | BETA: splitting (55) gives:
% 199.56/33.00 | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | Case 1:
% 199.56/33.00 | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | (4364) ~ (all_16_2 = e3)
% 199.56/33.00 | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | REDUCE: (345), (4364) imply:
% 199.56/33.00 | | | | | | | | | | | | | (4365) ~ (all_6_2 = e3)
% 199.56/33.00 | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | BETA: splitting (199) gives:
% 199.56/33.00 | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | Case 1:
% 199.56/33.00 | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | (4366) all_54_5 = e3
% 199.56/33.00 | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | COMBINE_EQS: (275), (4366) imply:
% 199.56/33.00 | | | | | | | | | | | | | | (4367) all_6_2 = e3
% 199.56/33.00 | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | REDUCE: (4365), (4367) imply:
% 199.56/33.00 | | | | | | | | | | | | | | (4368) $false
% 199.56/33.00 | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | CLOSE: (4368) is inconsistent.
% 199.56/33.00 | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | Case 2:
% 199.56/33.00 | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | (4369) ~ (all_54_5 = e3)
% 199.56/33.00 | | | | | | | | | | | | | | (4370) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 199.56/33.00 | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | BETA: splitting (4370) gives:
% 199.56/33.00 | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | Case 1:
% 199.56/33.00 | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | (4371) all_54_5 = e2
% 199.56/33.00 | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | COMBINE_EQS: (275), (4371) imply:
% 199.56/33.00 | | | | | | | | | | | | | | | (4372) all_6_2 = e2
% 199.56/33.00 | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | REDUCE: (356), (4372) imply:
% 199.56/33.00 | | | | | | | | | | | | | | | (4373) $false
% 199.56/33.00 | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | CLOSE: (4373) is inconsistent.
% 199.56/33.00 | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | Case 2:
% 199.56/33.00 | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | (4374) ~ (all_54_5 = e2)
% 199.56/33.00 | | | | | | | | | | | | | | | (4375) all_54_5 = e1 | all_54_5 = e0
% 199.56/33.00 | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | BETA: splitting (4375) gives:
% 199.56/33.00 | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | Case 1:
% 199.56/33.00 | | | | | | | | | | | | | | | |
% 199.56/33.00 | | | | | | | | | | | | | | | | (4376) all_54_5 = e1
% 199.56/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (4376) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | (4377) all_6_2 = e1
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | REDUCE: (396), (4377) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | (4378) $false
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | CLOSE: (4378) is inconsistent.
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | Case 2:
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | (4379) all_54_5 = e0
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (4379) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | (4380) all_6_2 = e0
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (4380) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | (4381) all_20_2 = e0
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (4380) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | (4382) all_26_2 = e0
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | REDUCE: (371), (4380) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | (4383) ~ (all_52_1 = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | REDUCE: (378), (4380) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | (4384) ~ (all_52_7 = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | REDUCE: (382), (4380) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | (4385) ~ (all_52_13 = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | REDUCE: (2401), (4380) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | (4386) ~ (all_8_1 = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | REDUCE: (4365), (4380) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | (4387) ~ (e3 = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | REDUCE: (356), (4380) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | (4388) ~ (e2 = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | REDUCE: (396), (4380) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | (4389) ~ (e1 = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | REDUCE: (39), (4380) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | (4390) op(e2, e2) = e0
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 199.73/33.00 | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.00 | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | (4391) ~ (all_20_2 = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | REDUCE: (4381), (4391) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | (4392) $false
% 199.73/33.00 | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | CLOSE: (4392) is inconsistent.
% 199.73/33.00 | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.00 | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | (4393) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 199.73/33.00 | | | | | | | | | | | | | | | | | (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 199.73/33.00 | | | | | | | | | | | | | | | | | e2) = all_20_0 & $i(all_20_0)))
% 199.73/33.00 | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | ALPHA: (4393) implies:
% 199.73/33.00 | | | | | | | | | | | | | | | | | (4394) op(e0, e2) = all_20_1
% 199.73/33.00 | | | | | | | | | | | | | | | | | (4395) ~ (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 199.73/33.00 | | | | | | | | | | | | | | | | | e2) = all_20_0 & $i(all_20_0))
% 199.73/33.00 | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 199.73/33.00 | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.00 | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | (4396) ~ (all_26_2 = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | REDUCE: (4382), (4396) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | (4397) $false
% 199.73/33.00 | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | CLOSE: (4397) is inconsistent.
% 199.73/33.00 | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.00 | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | (4398) op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~
% 199.73/33.00 | | | | | | | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 199.73/33.00 | | | | | | | | | | | | | | | | | | e2) = all_26_0 & $i(all_26_0)))
% 199.73/33.00 | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | ALPHA: (4398) implies:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | (4399) op(e0, e2) = all_26_1
% 199.73/33.00 | | | | | | | | | | | | | | | | | | (4400) ~ (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 199.73/33.00 | | | | | | | | | | | | | | | | | | e2) = all_26_0 & $i(all_26_0))
% 199.73/33.00 | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 199.73/33.00 | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | (4401) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (4401) gives:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4402) all_58_2 = e0 & op(e2, e3) = e0
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | ALPHA: (4402) implies:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4403) all_58_2 = e0
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (216),
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (245), (246), (355), (358),
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (2371), (2376), (2384), (4327), (4331), (4332),
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4333), (4334), (4335), (4336), (4342), (4343),
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4347), (4390), (4403), (function-axioms) are
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #534.
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4404) all_58_3 = e0 & op(e2, e2) = e0
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | ALPHA: (4404) implies:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4405) all_58_3 = e0
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | all_20_1, e2, e0, simplifying with (158), (4394)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | gives:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4406) all_52_7 = all_20_1
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | all_26_1, e2, e0, simplifying with (158), (4399)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | gives:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4407) all_52_7 = all_26_1
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4406), (4407) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4408) all_26_1 = all_20_1
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | SIMP: (4408) implies:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4409) all_26_1 = all_20_1
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (4406) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4410) all_54_13 = all_20_1
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (4406) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4411) ~ (all_52_3 = all_20_1)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (4406) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4412) ~ (all_52_4 = all_20_1)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (4406) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4413) ~ (all_52_6 = all_20_1)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (4406) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4414) ~ (all_52_11 = all_20_1)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | SIMP: (4414) implies:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4415) ~ (all_52_11 = all_20_1)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (4332), (4406) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4416) ~ (all_20_1 = e3)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (4384), (4406) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | (4417) ~ (all_20_1 = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | (4418) ~ (all_28_2 = e1)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (4418) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | (4419) ~ (all_14_2 = e1)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | (4420) all_54_0 = e3
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (4420) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | (4421) all_14_2 = e3
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (4421) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | (4422) $false
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4422) is inconsistent.
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | (4423) ~ (all_54_0 = e3)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | (4424) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4424) gives:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | (4425) all_54_0 = e2
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (4425) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | (4426) all_14_2 = e2
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4363), (4426) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | (4427) $false
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4427) is inconsistent.
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | (4428) ~ (all_54_0 = e2)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | (4429) all_54_0 = e1 | all_54_0 = e0
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4429) gives:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | (4430) all_54_0 = e1
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (4430) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | (4431) all_14_2 = e1
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4419), (4431) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | (4432) $false
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4432) is inconsistent.
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | (4433) all_54_0 = e0
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (4433) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | (4434) all_14_2 = e0
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (4434) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | (4435) all_34_2 = e0
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (4434) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | (4436) all_44_2 = e0
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (4434) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | (4437) ~ (all_52_3 = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (4434) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | (4438) ~ (all_52_4 = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (4434) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | (4439) op(e3, e3) = e0
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | (4440) ~ (all_34_2 = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4435), (4440) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | (4441) $false
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4441) is inconsistent.
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | (4442) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | (all_34_1 = e2) | ( ~ (all_34_0 = e1) & op(e2,
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_34_0 & $i(all_34_0)))
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4442) implies:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | (4443) op(e0, e3) = all_34_1
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (4444) ~ (all_44_2 = e0)
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4436), (4444) imply:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (4445) $false
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4445) is inconsistent.
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (4446) op(e0, e3) = all_44_1 & $i(all_44_1) & ( ~
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4446) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (4447) op(e0, e3) = all_44_1
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4448) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4448) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4449) all_58_6 = e0 & op(e1, e3) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (241), (243),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (4331), (4439), (4449), (function-axioms)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #532.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4450) all_58_7 = e0 & op(e1, e2) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4450) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4451) all_58_7 = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4452) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4452) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4453) all_58_1 = e3 & op(e3, e2) = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4453) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4454) all_58_1 = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4455) all_58_15 = e0 & op(e0, e0) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (4455), (function-axioms) are
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4456) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4456) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4457) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4457) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4458) all_58_9 = e0 & op(e3, e0) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4458) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4459) all_58_9 = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (4439),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4454), (4459), (function-axioms) are inconsistent
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1912.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4460) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4460) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4461) all_58_10 = e0 & op(e2, e0) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4461) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4462) all_58_10 = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (216), (218), (221),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (230), (232), (233),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (238), (239), (240), (241), (242),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (245), (355), (358), (2371), (2376),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (4332), (4333), (4335), (4336), (4342),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4390), (4405), (4462), (function-axioms) are
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #540.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4463) all_58_11 = e0 & op(e1, e0) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4463) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4464) all_58_11 = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (224), (225),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (2384), (4336), (4451), (4464),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #531.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4465) all_58_3 = e3 & op(e2, e2) = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4465) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4466) op(e2, e2) = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4390), (4466), (function-axioms) are
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4467) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4467) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4468) all_58_7 = e3 & op(e1, e2) = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4468) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4469) all_58_7 = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4451), (4469) are inconsistent by sub-proof
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1631.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4470) all_58_13 = e3 & op(e0, e2) = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4470) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4471) op(e0, e2) = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4332), (4471), (function-axioms) are
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4472) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4472) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4473) all_58_8 = e0 & op(e1, e1) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2384), (4473) are inconsistent by sub-proof
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4474) all_58_11 = e0 & op(e1, e0) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4474) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4475) all_58_11 = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4476) op(e1, e0) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4477) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4477) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4478) all_58_4 = e0 & op(e3, e1) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4478) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4479) all_58_4 = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (242), (244),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (4327), (4334), (4347), (4439), (4479),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #528.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4480) all_58_5 = e0 & op(e2, e1) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4480) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4481) all_58_5 = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (216), (218), (221),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (228), (230), (232), (233), (234),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (238), (239), (240), (241), (242), (243),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (358), (2371), (2376), (2384),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332), (4333), (4335), (4336), (4342), (4390),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4481), (function-axioms) are inconsistent by
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #573.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4482) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4482) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4483) all_58_8 = e0 & op(e1, e1) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2384), (4483) are inconsistent by sub-proof
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4484) all_58_14 = e0 & op(e0, e1) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4484) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4485) all_58_14 = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4486) op(e0, e1) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4487) all_58_15 = e0 & op(e0, e0) = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (4487), (function-axioms) are
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4488) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4488) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4489) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (4486) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4490) all_52_11 = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e3, e0, simplifying with (159), (4443)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4491) all_52_3 = all_34_1
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_44_1, e3, e0, simplifying with (159), (4447)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4492) all_52_3 = all_44_1
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (4476) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4493) all_52_14 = e0
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4491), (4492) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4494) all_44_1 = all_34_1
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (4491) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4495) all_54_12 = all_34_1
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (4491) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4496) ~ (all_52_1 = all_34_1)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (4491) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4497) ~ (all_52_2 = all_34_1)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4493) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4498) ~ (all_52_2 = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4411), (4491) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4499) ~ (all_34_1 = all_20_1)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4331), (4491) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4500) ~ (all_34_1 = e3)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4437), (4491) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4501) ~ (all_34_1 = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (4493) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4502) ~ (all_52_6 = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (4490) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4503) ~ (all_52_8 = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4415), (4490) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4504) ~ (all_20_1 = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2398), (4490) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4505) ~ (all_8_1 = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4359), (4493) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4506) ~ (all_10_1 = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4506) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4507) ~ (all_10_1 = e0)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4508) all_54_9 = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (4508) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4509) all_52_6 = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4509) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4510) all_52_6 = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (4510) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4511) ~ (all_52_2 = e3)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4413), (4510) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4512) ~ (all_20_1 = e3)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4513) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4513) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4514) all_58_6 = e3 & op(e1, e3) = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4514) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4515) op(e1, e3) = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4511), (4515), (function-axioms) are
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #609.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4516) all_58_7 = e3 & op(e1, e2) = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4516) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4517) all_58_7 = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4518) op(e1, e2) = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4519) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4519) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4520) all_58_0 = e3 & op(e3, e3) = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4520) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4521) op(e3, e3) = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4439), (4521), (function-axioms) are
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4522) all_58_1 = e3 & op(e3, e2) = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4522) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4523) all_58_1 = e3
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4524) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4524) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4525) all_58_12 = e2 & op(e0, e3) = e2
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4525) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4526) all_58_12 = e2
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4527) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4527) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4528) all_58_1 = e2 & op(e3, e2) = e2
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4528) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4529) all_58_1 = e2
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4523), (4529) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4530) e3 = e2
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4342), (4530) imply:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4531) all_58_15 = e2
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (157), (217), (219), (4333),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4485), (4526), (4531), (function-axioms) are
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1730.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4532) all_58_3 = e2 & op(e2, e2) = e2
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4532) implies:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4533) all_58_3 = e2
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (235), (236), (4517),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4523), (4533) are inconsistent by sub-proof #554.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4534) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4534) gives:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4535) all_58_7 = e2 & op(e1, e2) = e2
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (157), (217), (219), (4333),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342), (4485), (4517), (4526), (4535),
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #527.
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4536) all_58_13 = e2 & op(e0, e2) = e2
% 199.73/33.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (168), (216), (217),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (221), (223), (224), (225), (226),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (230), (232), (233), (234), (235),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (355), (358), (2371),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376), (2384), (4327), (4332), (4333), (4334),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335), (4336), (4342), (4343), (4347), (4390),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4405), (4439), (4475), (4485), (4511), (4517),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4523), (4536), (function-axioms) are inconsistent
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #523.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4537) all_58_13 = e2 & op(e0, e2) = e2
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (168), (216), (217),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (221), (223), (224), (225), (226),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (230), (232), (233), (234), (235),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (355), (358), (2371),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376), (2384), (4327), (4332), (4333), (4334),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335), (4336), (4342), (4343), (4347), (4390),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4405), (4439), (4475), (4485), (4511), (4517),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4523), (4537), (function-axioms) are inconsistent
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #523.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4538) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4342), (4485), (4538) are inconsistent
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #522.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4539) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4539) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4540) all_58_4 = e3 & op(e3, e1) = e3
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4540) implies:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4541) all_58_4 = e3
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4542) all_54_8 = e3
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4542) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4543) all_52_2 = e3
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4511), (4543) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4544) $false
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4544) is inconsistent.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4545) ~ (all_54_8 = e3)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4546) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4546) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4547) all_54_8 = e2
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4547) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4548) all_52_2 = e2
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2371), (4548) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4549) $false
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4549) is inconsistent.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4550) ~ (all_54_8 = e2)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4551) all_54_8 = e1 | all_54_8 = e0
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4400) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4552) ~ (all_26_1 = e1)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4409), (4552) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4553) ~ (all_20_1 = e1)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4554) all_54_13 = e3
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4410), (4554) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4555) all_20_1 = e3
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4416), (4555) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4556) $false
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4556) is inconsistent.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4557) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4551) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4558) all_54_8 = e1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4558) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4559) all_52_2 = e1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4497), (4559) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4560) ~ (all_34_1 = e1)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4560) implies:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4561) ~ (all_34_1 = e1)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4562) all_54_12 = e3
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4495), (4500), (4562) are inconsistent by
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1710.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4563) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4557) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4564) all_54_13 = e2
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4410), (4564) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4565) all_20_1 = e2
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4499), (4565) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4566) ~ (all_34_1 = e2)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4563) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4567) all_54_12 = e2
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4495), (4566), (4567) are inconsistent by
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1683.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4568) all_54_12 = e1 | all_54_12 = e0
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4495), (4501), (4561), (4568) are inconsistent by
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1704.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4569) all_54_13 = e1 | all_54_13 = e0
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4410), (4417), (4553), (4569) are inconsistent by
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1780.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4570) all_54_8 = e0
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4570) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4571) all_52_2 = e0
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4498), (4571) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4572) $false
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4572) is inconsistent.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4573) all_26_1 = e1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4574) ~ (all_26_0 = e3) & op(e1, e2) = all_26_0 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_0)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4574) implies:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4575) op(e1, e2) = all_26_0
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4409), (4573) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4576) all_20_1 = e1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4499), (4576) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4577) ~ (all_34_1 = e1)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4416), (4576) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4578) ~ (e3 = e1)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4579) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4579) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4580) all_58_12 = e2 & op(e0, e3) = e2
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4580) implies:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4581) all_58_12 = e2
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4582) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4582) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4583) all_58_1 = e2 & op(e3, e2) = e2
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4583) implies:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4584) all_58_1 = e2
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4585) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (4405), (4584), (4585) are inconsistent
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #866.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4586) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4586) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4587) all_58_7 = e1 & op(e1, e2) = e1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4587) implies:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4588) op(e1, e2) = e1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4518), (4575), (4588), (function-axioms) are
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #521.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4589) all_58_13 = e1 & op(e0, e2) = e1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4589) implies:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4590) all_58_13 = e1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4591) op(e0, e2) = e1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4592) all_54_12 = e3
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4495), (4592) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4593) all_34_1 = e3
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4500), (4593) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4594) $false
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4594) is inconsistent.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4595) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4595) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4596) all_54_12 = e2
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4495), (4596) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4597) all_34_1 = e2
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4496), (4597) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4598) ~ (all_52_1 = e2)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4599) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4599) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4600) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4600) implies:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4601) op(e1, e2) = all_56_7
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4602) ~ (all_56_14 = e2) | all_56_7 = e1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2370), (4518), (4575), (4601), (4602),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #520.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4603) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4603) implies:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4604) op(e0, e1) = all_56_11
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4605) all_56_11 = e2 | ( ~ (all_56_10 = e1) & op(e0, e2)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4551) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4606) all_54_8 = e1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4606) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4607) all_52_2 = e1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4607) implies:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4608) all_52_2 = e1
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (4608) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4609) ~ (all_52_1 = e1)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4610) all_54_4 = e3
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4610) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4611) all_52_1 = e3
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2395), (4611) imply:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4612) ~ (all_8_1 = e3)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4612) implies:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4613) ~ (all_8_1 = e3)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (198), (236), (237), (238), (2394),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402), (4386), (4405), (4486), (4584), (4590),
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4591), (4604), (4605), (4613), (function-axioms)
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #779.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4614) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (4383), (4598), (4609), (4614) are
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4615) all_54_8 = e0
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (4498), (4615) are inconsistent by
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1738.
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4616) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4330), (4443), (4486), (4501), (4616),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1054.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4617) all_54_12 = e1 | all_54_12 = e0
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4495), (4501), (4577), (4617) are inconsistent by
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1704.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4618) all_58_3 = e2 & op(e2, e2) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4390), (4618), (function-axioms) are
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4619) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4619) gives:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620) all_58_7 = e2 & op(e1, e2) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (157), (217), (219), (4333),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342), (4485), (4517), (4581), (4620),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #527.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4621) all_58_13 = e2 & op(e0, e2) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4621) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622) all_58_13 = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4623) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4623) gives:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4624) all_58_0 = e3 & op(e3, e3) = e3
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4624) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625) op(e3, e3) = e3
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4439), (4625), (function-axioms) are
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4626) all_58_2 = e3 & op(e2, e3) = e3
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4626) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4627) all_58_2 = e3
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (219),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (232), (233), (236), (237), (238), (2384),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333), (4342), (4343), (4390), (4394), (4405),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4417), (4485), (4489), (4517), (4541), (4581),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622), (4627), (function-axioms) are inconsistent
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #518.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4628) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (157), (163), (217),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (4333), (4342), (4343), (4485),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4511), (4628), (function-axioms) are inconsistent
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #524.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) all_58_13 = e2 & op(e0, e2) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4629) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) all_58_13 = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4631) gives:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) all_58_0 = e3 & op(e3, e3) = e3
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4632) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) op(e3, e3) = e3
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4439), (4633), (function-axioms) are
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) all_58_2 = e3 & op(e2, e3) = e3
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4634) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) all_58_2 = e3
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4636) gives:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) all_58_1 = e1 & op(e3, e2) = e1
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4637) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) all_58_1 = e1
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4639) gives:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) all_58_2 = e2 & op(e2, e3) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4640) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) all_58_2 = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4635), (4641) are inconsistent by sub-proof
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1736.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) all_58_3 = e2 & op(e2, e2) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4390), (4642), (function-axioms) are
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4643) gives:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) all_58_5 = e2 & op(e2, e1) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4644) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) all_58_5 = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (228), (2384), (4485), (4541),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) are inconsistent by sub-proof #971.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) all_58_10 = e2 & op(e2, e0) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4646) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) op(e2, e0) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4648) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4648) gives:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4649) all_58_0 = e2 & op(e3, e3) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4649) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650) op(e3, e3) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4439), (4650), (function-axioms) are
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4651) all_58_2 = e2 & op(e2, e3) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4651) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4652) all_58_2 = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4635), (4652) are inconsistent by sub-proof
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1736.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4653) gives:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4654) all_58_6 = e2 & op(e1, e3) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4654) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655) op(e1, e3) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2371), (4655), (function-axioms) are
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4656) all_58_12 = e2 & op(e0, e3) = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4656) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) all_58_12 = e2
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (228), (232),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (2384), (4343), (4394), (4405),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4417), (4485), (4489), (4517), (4541), (4630),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635), (4638), (4647), (4657), (function-axioms)
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #519.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) all_58_3 = e1 & op(e2, e2) = e1
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4658) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) all_58_3 = e1
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4405), (4659) are inconsistent by sub-proof
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1551.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4660) gives:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) all_58_7 = e1 & op(e1, e2) = e1
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4661) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) op(e1, e2) = e1
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4518), (4575), (4662), (function-axioms) are
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #521.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) all_58_13 = e1 & op(e0, e2) = e1
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4630), (4663) are inconsistent by sub-proof
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1672.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (157), (163), (217),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (4333), (4342), (4343), (4485),
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4511), (4664), (function-axioms) are inconsistent
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #524.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4342), (4485), (4665) are inconsistent
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #522.
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) all_58_9 = e3 & op(e3, e0) = e3
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4666) implies:
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) op(e3, e0) = e3
% 199.73/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4327), (4334), (4347), (4667),
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1035.
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (2384), (4336), (4668),
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #633.
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669) ~ (all_54_9 = e3)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4670) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (4669) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671) ~ (all_52_6 = e3)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4670) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4672) all_54_9 = e2
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (4672) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673) all_52_6 = e2
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2372), (4673) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4674) $false
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4674) is inconsistent.
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4675) all_54_9 = e1 | all_54_9 = e0
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4675) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4676) all_54_9 = e1
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (4676) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4677) all_52_6 = e1
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4677) implies:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678) all_52_6 = e1
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (4678) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4679) ~ (all_52_2 = e1)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4413), (4678) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4680) ~ (all_20_1 = e1)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4680) implies:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4681) ~ (all_20_1 = e1)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4682) all_54_8 = e3
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4682) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4683) all_52_2 = e3
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (4683) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4684) ~ (all_52_1 = e3)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4497), (4683) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4685) ~ (all_34_1 = e3)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4686) all_54_13 = e3
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4410), (4416), (4686) are inconsistent by
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1786.
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4687) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4687) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4688) all_54_13 = e2
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4410), (4688) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4689) all_20_1 = e2
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4689) implies:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) all_20_1 = e2
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4412), (4690) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4691) ~ (all_52_4 = e2)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4499), (4690) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4692) ~ (all_34_1 = e2)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4693) all_54_12 = e3
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4495), (4693) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4694) all_34_1 = e3
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4500), (4694) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4695) $false
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4695) is inconsistent.
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4696) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4696) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4697) all_54_12 = e2
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4495), (4697) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4698) all_34_1 = e2
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4692), (4698) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4699) $false
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4699) is inconsistent.
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4700) all_54_12 = e1 | all_54_12 = e0
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4701) all_54_1 = e3
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (4701) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4702) all_52_4 = e3
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4702) implies:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4703) all_52_4 = e3
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (4703) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4704) ~ (all_52_8 = e3)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4704) implies:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4705) ~ (all_52_8 = e3)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4354), (4703) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4706) ~ (all_10_1 = e3)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4707) all_54_2 = e3
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (4705), (4707) are inconsistent by
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #983.
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4708) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4700) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4709) all_54_12 = e1
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4495), (4709) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4710) all_34_1 = e1
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4710) implies:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711) all_34_1 = e1
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4496), (4711) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4712) ~ (all_52_1 = e1)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4713) all_54_4 = e3
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (4684), (4713) are inconsistent by
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1750.
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4714) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4714) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4715) all_54_4 = e2
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4715) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4716) all_52_1 = e2
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4716) implies:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4717) all_52_1 = e2
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4717) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4718) ~ (all_52_13 = e2)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4718) implies:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4719) ~ (all_52_13 = e2)
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4720) all_54_7 = e3
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (4335), (4720) are inconsistent by
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1491.
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4721) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4721) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4722) all_54_7 = e2
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (4719), (4722) are inconsistent by
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1247.
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4723) all_54_7 = e1 | all_54_7 = e0
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4723) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4724) all_54_7 = e1
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (4724) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4725) all_52_13 = e1
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4725) implies:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4726) all_52_13 = e1
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (4726) imply:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4727) op(e2, e0) = e1
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4708) gives:
% 199.89/33.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4728) all_54_2 = e2
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (2373), (4728) are inconsistent by
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #982.
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4729) all_54_2 = e1 | all_54_2 = e0
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4729) gives:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4730) all_54_2 = e1
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (4730) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4731) all_52_8 = e1
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4731) implies:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4732) all_52_8 = e1
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4355), (4732) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4733) ~ (all_10_1 = e1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4733) implies:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4734) ~ (all_10_1 = e1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4735) all_54_3 = e3
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4353), (4362), (4735) are inconsistent by
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1053.
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4736) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4328) gives:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4737) ~ (all_10_1 = e2)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4353), (4507), (4734), (4736), (4737) are
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #516.
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4738) ~ (all_10_0 = e1) & op(e2, e0) = all_10_0 &
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_0)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4738) implies:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4739) ~ (all_10_0 = e1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4740) op(e2, e0) = all_10_0
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4727), (4739), (4740), (function-axioms) are
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #515.
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4741) all_54_2 = e0
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (4503), (4741) are inconsistent by
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #947.
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4742) all_54_7 = e0
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (4742) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743) all_52_13 = e0
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4743) implies:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4744) all_52_13 = e0
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4385), (4744) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4745) $false
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4745) is inconsistent.
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4746) all_54_4 = e1 | all_54_4 = e0
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (4383), (4712), (4746) are inconsistent by
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1703.
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4747) all_54_12 = e0
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4495), (4501), (4747) are inconsistent by
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1705.
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4748) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (170), (191), (195), (267), (282), (4395),
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4410), (4412), (4413), (4417), (4438), (4502),
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671), (4691), (4748), (function-axioms) are
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1241.
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4749) all_54_13 = e1 | all_54_13 = e0
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4410), (4417), (4681), (4749) are inconsistent by
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1780.
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4750) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (2371), (4498), (4679), (4750) are
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #514.
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4751) all_54_9 = e0
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (4502), (4751) are inconsistent by
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1772.
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (4752) all_28_2 = e1
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (4753) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0)))
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4753) implies:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (4754) op(e1, e3) = all_28_1
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (4752) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (4755) all_14_2 = e1
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (4755) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (4756) all_36_2 = e1
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (4755) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (4757) ~ (all_52_1 = e1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (4755) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (4758) ~ (all_52_2 = e1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (4755) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (4759) ~ (all_52_3 = e1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (4755) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (4760) ~ (all_52_8 = e1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4361), (4755) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (4761) ~ (all_10_1 = e1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | SIMP: (4761) implies:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (4762) ~ (all_10_1 = e1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (4755) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (4763) ~ (e3 = e1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4363), (4755) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (4764) ~ (e2 = e1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (4755) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | (4765) op(e3, e3) = e1
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4766) ~ (all_36_2 = e1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4756), (4766) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4767) $false
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4767) is inconsistent.
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4768) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4768) implies:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4769) op(e1, e3) = all_36_1
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4770) ~ (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0))
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | all_28_1, e3, e1, simplifying with (163), (4754)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | gives:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4771) all_52_2 = all_28_1
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | all_36_1, e3, e1, simplifying with (163), (4769)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | gives:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4772) all_52_2 = all_36_1
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4771), (4772) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4773) all_36_1 = all_28_1
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4773) implies:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4774) all_36_1 = all_28_1
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4771) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4775) all_54_8 = all_28_1
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (4771) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4776) ~ (all_52_1 = all_28_1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (4771) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4777) ~ (all_52_3 = all_28_1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4777) implies:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4778) ~ (all_52_3 = all_28_1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4771) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4779) ~ (all_52_14 = all_28_1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4779) implies:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4780) ~ (all_52_14 = all_28_1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4758), (4771) imply:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | (4781) ~ (all_28_1 = e1)
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | (4782) all_54_11 = e3
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4336), (4782) are inconsistent by
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1295.
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.04 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | (4783) ~ (all_54_11 = e3)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | (4784) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | (4785) all_54_14 = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (4785) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | (4786) all_52_11 = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4333), (4786) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | (4787) $false
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4787) is inconsistent.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | (4788) ~ (all_54_14 = e3)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | (4789) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | (4790) all_54_6 = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2394), (4790) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | (4791) all_8_1 = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4791) implies:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | (4792) all_8_1 = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2395), (4792) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | (4793) ~ (all_52_1 = e3)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2396), (4792) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | (4794) ~ (all_52_8 = e3)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (4795) all_54_4 = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (4793), (4795) are inconsistent by
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1750.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (4796) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4797) all_54_2 = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (4794), (4797) are inconsistent by
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #983.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4798) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4798) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4799) all_54_2 = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (2373), (4799) are inconsistent by
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #982.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4800) all_54_2 = e1 | all_54_2 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4800) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4801) all_54_2 = e1
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (4760), (4801) are inconsistent by
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #944.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4802) all_54_2 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (4802) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4803) all_52_8 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4803) implies:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4804) all_52_8 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4355), (4804) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4805) ~ (all_10_1 = e0)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4805) implies:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4806) ~ (all_10_1 = e0)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4807) all_54_3 = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4353), (4362), (4807) are inconsistent by
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1053.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4808) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4796) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4809) all_54_4 = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4809) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4810) all_52_1 = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4810) implies:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4811) all_52_1 = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4811) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4812) ~ (all_52_13 = e2)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4812) implies:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4813) ~ (all_52_13 = e2)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4814) all_54_7 = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (4335), (4814) are inconsistent by
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1491.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4815) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4328) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4816) ~ (all_10_1 = e2)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4353), (4762), (4806), (4808), (4816) are
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #516.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4817) ~ (all_10_0 = e1) & op(e2, e0) = all_10_0 &
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_0)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4817) implies:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4818) ~ (all_10_0 = e1)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4819) op(e2, e0) = all_10_0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4815) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4820) all_54_7 = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (4820) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4821) all_52_13 = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4813), (4821) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4822) $false
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4822) is inconsistent.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4823) all_54_7 = e1 | all_54_7 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4823) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4824) all_54_7 = e1
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (4824) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825) all_52_13 = e1
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (4825) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4826) op(e2, e0) = e1
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4818), (4819), (4826), (function-axioms) are
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #515.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4827) all_54_7 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (4827) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4828) all_52_13 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4385), (4828) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4829) $false
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4829) is inconsistent.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4830) all_54_4 = e1 | all_54_4 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (4383), (4757), (4830) are inconsistent by
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1703.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | (4831) ~ (all_54_6 = e3)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | (4832) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2394), (4831) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | (4833) ~ (all_8_1 = e3)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (4834) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4834) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4835) all_58_2 = e3 & op(e2, e3) = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4835) implies:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4836) all_58_2 = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4837) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4837) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4838) all_58_4 = e3 & op(e3, e1) = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4838) implies:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4839) all_58_4 = e3
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4840) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4840) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4841) all_58_2 = e2 & op(e2, e3) = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4836), (4841) are inconsistent by sub-proof
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4842) all_58_3 = e2 & op(e2, e2) = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4390), (4842), (function-axioms) are
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4843) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4843) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4844) all_58_5 = e2 & op(e2, e1) = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4844) implies:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845) all_58_5 = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (163), (164), (216), (218), (221), (224),
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (232), (233), (234), (235),
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (245),
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (358), (2371), (2376), (2384), (4332),
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335), (4336), (4342), (4390), (4839), (4845),
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #564.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4846) all_58_10 = e2 & op(e2, e0) = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4846) implies:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4847) all_58_10 = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4848) op(e2, e0) = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4832) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4849) all_54_6 = e2
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2394), (2402), (4849) are inconsistent by
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #946.
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4850) ~ (all_54_6 = e2)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4851) all_54_6 = e1 | all_54_6 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4851) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4852) all_54_6 = e1
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2394), (4852) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4853) all_8_1 = e1
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4853) implies:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4854) all_8_1 = e1
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2398), (4854) imply:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4855) ~ (all_52_11 = e1)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4856) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4856) gives:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4857) all_58_4 = e0 & op(e3, e1) = e0
% 199.89/33.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (216),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (245), (246), (355), (358),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371), (2376), (2384), (4327), (4331), (4332),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333), (4334), (4335), (4336), (4342), (4343),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347), (4390), (4836), (4839), (4857),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #513.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4858) all_58_5 = e0 & op(e2, e1) = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4858) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4859) all_58_5 = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (4390), (4836), (4848),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4859), (function-axioms) are inconsistent by
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #846.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4860) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4860) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4861) all_58_8 = e0 & op(e1, e1) = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (216), (218), (221),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (230), (232), (233),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (238), (239), (240), (241), (242),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (245), (355), (358), (2371), (2376),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (4332), (4333), (4335), (4336), (4342),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4390), (4405), (4847), (4861), (function-axioms)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #512.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4862) all_58_14 = e0 & op(e0, e1) = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4862) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863) all_58_14 = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4789) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4864) all_54_14 = e2
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (2375), (4864) are inconsistent by
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1518.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4865) ~ (all_54_14 = e2)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4866) all_54_14 = e1 | all_54_14 = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4866) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4867) all_54_14 = e1
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (4855), (4867) are inconsistent by
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1517.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4868) all_54_14 = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (4868) imply:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869) all_52_11 = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4869) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870) all_52_11 = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (4870) imply:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4871) ~ (all_52_3 = e0)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4415), (4870) imply:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4872) ~ (all_20_1 = e0)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (4870) imply:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4873) op(e0, e1) = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4874) all_54_12 = e3
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (4331), (4874) are inconsistent by
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1471.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4875) ~ (all_54_12 = e3)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4876) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4877) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (4765), (4836), (4877),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #511.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4878) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4878) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4879) all_58_6 = e2 & op(e1, e3) = e2
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4879) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4880) op(e1, e3) = e2
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2371), (4880), (function-axioms) are
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4881) all_58_12 = e2 & op(e0, e3) = e2
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4881) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4882) all_58_12 = e2
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4883) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4883) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4884) all_58_12 = e1 & op(e0, e3) = e1
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4884) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4885) all_58_12 = e1
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4882), (4885) are inconsistent by sub-proof
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1856.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4886) all_58_13 = e1 & op(e0, e2) = e1
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4886) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4887) all_58_13 = e1
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4888) op(e0, e2) = e1
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4889) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4889) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4890) all_58_6 = e3 & op(e1, e3) = e3
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4890) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4891) all_58_6 = e3
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (239), (241), (4836),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4882), (4891), (function-axioms) are inconsistent
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #580.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4892) all_58_7 = e3 & op(e1, e2) = e3
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4892) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4893) all_58_7 = e3
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4894) op(e1, e2) = e3
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4895) all_58_15 = e0 & op(e0, e0) = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (4895), (function-axioms) are
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4896) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4896) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4897) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4898) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4898) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4899) all_58_1 = e2 & op(e3, e2) = e2
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4899) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4900) all_58_1 = e2
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4876) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4901) all_54_12 = e2
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (4901) imply:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4902) all_52_3 = e2
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (4902) imply:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4903) ~ (all_52_1 = e2)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4778), (4902) imply:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4904) ~ (all_28_1 = e2)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4904) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4905) ~ (all_28_1 = e2)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4411), (4902) imply:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4906) ~ (all_20_1 = e2)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4906) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4907) ~ (all_20_1 = e2)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (4902) imply:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4908) op(e0, e3) = e2
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4909) all_54_13 = e3
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4410), (4909) imply:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4910) all_20_1 = e3
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4416), (4910) imply:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4911) $false
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4911) is inconsistent.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4912) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4913) all_54_4 = e3
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4913) imply:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4914) all_52_1 = e3
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4914) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4915) all_52_1 = e3
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4776), (4915) imply:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4916) ~ (all_28_1 = e3)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4916) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4917) ~ (all_28_1 = e3)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918) all_54_8 = e3
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4775), (4917), (4918) are inconsistent by
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1475.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4919) ~ (all_54_8 = e3)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4920) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4921) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4921) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4922) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4922) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4923) op(e1, e2) = all_56_7
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4924) ~ (all_56_14 = e2) | all_56_7 = e1
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4912) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4925) all_54_13 = e2
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4410), (4907), (4925) are inconsistent by
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1708.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4926) all_54_13 = e1 | all_54_13 = e0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4400) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4927) ~ (all_26_1 = e1)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4409), (4927) imply:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4928) ~ (all_20_1 = e1)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4410), (4417), (4926), (4928) are inconsistent by
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1780.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4929) ~ (all_26_0 = e3) & op(e1, e2) = all_26_0 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_0)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4929) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4930) op(e1, e2) = all_26_0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2370), (4894), (4923), (4924), (4930),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #520.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4931) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4931) implies:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4932) op(e0, e1) = all_56_11
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4933) all_56_11 = e2 | ( ~ (all_56_10 = e1) & op(e0, e2)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (198), (236), (237), (238), (2394),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402), (4386), (4405), (4833), (4873), (4887),
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4888), (4900), (4932), (4933), (function-axioms)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #779.
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4934) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4934) gives:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4935) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 199.89/33.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4935) implies:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4936) all_56_15 = e1 | ( ~ (all_56_11 = e0) & op(e0, e1)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4330), (4873), (4936), (function-axioms) are
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1057.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4937) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4937) implies:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4938) op(e0, e3) = all_56_9
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4939) ~ (all_56_15 = e3) | all_56_9 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4770) gives:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4940) ~ (all_36_1 = e0)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4774), (4940) imply:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4941) ~ (all_28_1 = e0)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4920) gives:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4942) all_54_8 = e2
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4775), (4905), (4942) are inconsistent by
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #851.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4943) all_54_8 = e1 | all_54_8 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4775), (4781), (4941), (4943) are inconsistent by
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1472.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4944) all_36_1 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4945) ~ (all_36_0 = e2) & op(e0, e3) = all_36_0 &
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_0)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4945) implies:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4946) op(e0, e3) = all_36_0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4774), (4944) imply:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4947) all_28_1 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4947) implies:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4948) all_28_1 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4780), (4948) imply:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4949) ~ (all_52_14 = e0)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4784) gives:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4950) all_54_11 = e2
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2376), (4950) are inconsistent by
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1282.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4951) ~ (all_54_11 = e2)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4952) all_54_11 = e1 | all_54_11 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4939) gives:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4953) ~ (all_56_15 = e3)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4330), (4953) imply:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4954) $false
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4954) is inconsistent.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4955) all_56_9 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4938), (4955) imply:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4956) op(e0, e3) = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4952) gives:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4957) all_54_11 = e1
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (4957) imply:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4958) all_52_14 = e1
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4958) implies:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4959) all_52_14 = e1
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_36_0,
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (4908), (4946) gives:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4960) all_36_0 = e2
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_36_0,
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (4946), (4956) gives:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4961) all_36_0 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4960), (4961) imply:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4962) e2 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4900), (4962) imply:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4963) all_58_1 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (236), (237), (238),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4405), (4887), (4963) are inconsistent by
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1615.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4964) all_54_11 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4949), (4964) are inconsistent by
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4965) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (4383), (4757), (4903), (4965) are
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4966) all_54_12 = e1 | all_54_12 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (4759), (4871), (4966) are inconsistent by
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1213.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4967) all_58_3 = e2 & op(e2, e2) = e2
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4390), (4967), (function-axioms) are
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4968) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4968) gives:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4969) all_58_7 = e2 & op(e1, e2) = e2
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4969) implies:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4970) all_58_7 = e2
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4893), (4970) imply:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4971) e3 = e2
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4971) implies:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4972) e3 = e2
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4342), (4972) imply:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4973) all_58_15 = e2
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (157), (219), (4333), (4882), (4887),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4973), (function-axioms) are inconsistent by
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1732.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4974) all_58_13 = e2 & op(e0, e2) = e2
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4974) implies:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4975) all_58_13 = e2
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (219),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (232), (233), (236), (237), (238), (2384),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333), (4342), (4343), (4390), (4394), (4405),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4417), (4836), (4839), (4863), (4882), (4893),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4897), (4975), (function-axioms) are inconsistent
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #518.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4976) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4976) gives:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4977) all_58_8 = e3 & op(e1, e1) = e3
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4977) implies:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4978) all_58_8 = e3
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2384), (4978) imply:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4979) e3 = e2
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4342), (4979) imply:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4980) all_58_15 = e2
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (157), (219), (4333), (4882), (4887),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4980), (function-axioms) are inconsistent by
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1732.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4981) all_58_11 = e3 & op(e1, e0) = e3
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4981) implies:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4982) op(e1, e0) = e3
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4336), (4982), (function-axioms) are
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4983) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (216),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (245), (246), (355), (358),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371), (2376), (2384), (4327), (4331), (4332),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333), (4334), (4335), (4336), (4342), (4343),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347), (4390), (4836), (4839), (4983),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #509.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4984) all_54_6 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2394), (4386), (4984) are inconsistent by
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #942.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4985) all_58_5 = e3 & op(e2, e1) = e3
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (168), (197), (216),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (221), (224), (226), (227), (228),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (233), (234), (235), (238), (239),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (245), (246),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (355), (358), (2371), (2376), (2384),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394), (2400), (2402), (4327), (4332), (4333),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (4335), (4336), (4342), (4343), (4347),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4385), (4386), (4390), (4394), (4405), (4417),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4765), (4832), (4985), (function-axioms) are
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #507.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4986) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (2384), (4333), (4986),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #794.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4987) all_58_3 = e3 & op(e2, e2) = e3
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4987) implies:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4988) op(e2, e2) = e3
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4390), (4988), (function-axioms) are
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (4989) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4989) gives:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4990) all_58_5 = e3 & op(e2, e1) = e3
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (168), (197), (216),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (221), (224), (226), (227), (228),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (233), (234), (235), (238), (239),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (245), (246),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (355), (358), (2371), (2376), (2384),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394), (2400), (2402), (4327), (4332), (4333),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (4335), (4336), (4342), (4343), (4347),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4385), (4386), (4390), (4394), (4405), (4417),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4765), (4832), (4990), (function-axioms) are
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #507.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4991) all_58_10 = e3 & op(e2, e0) = e3
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4991) implies:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4992) op(e2, e0) = e3
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4335), (4992), (function-axioms) are
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.09 | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | (4993) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 199.89/33.09 | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (4993) gives:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | (4994) all_58_5 = e0 & op(e2, e1) = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | ALPHA: (4994) implies:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | (4995) all_58_5 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (216), (218), (221),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | (224), (226), (228), (230), (232), (233), (234),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | (235), (238), (239), (240), (241), (242), (243),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | (245), (355), (358), (2371), (2376), (2384),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | (4332), (4333), (4335), (4336), (4342), (4390),
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | (4995), (function-axioms) are inconsistent by
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | sub-proof #573.
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | (4996) all_58_10 = e0 & op(e2, e0) = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | ALPHA: (4996) implies:
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | | (4997) all_58_10 = e0
% 199.89/33.09 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (216),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (245), (246), (355), (358),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | (2371), (2376), (2384), (4327), (4331), (4332),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | (4333), (4334), (4335), (4336), (4342), (4343),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | (4347), (4390), (4997), (function-axioms) are
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #536.
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | (4998) all_16_2 = e3
% 199.89/33.10 | | | | | | | | | | | | | (4999) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 199.89/33.10 | | | | | | | | | | | | | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 199.89/33.10 | | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0)))
% 199.89/33.10 | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | ALPHA: (4999) implies:
% 199.89/33.10 | | | | | | | | | | | | | (5000) op(e3, e2) = all_16_1
% 199.89/33.10 | | | | | | | | | | | | | (5001) ~ (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 199.89/33.10 | | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0))
% 199.89/33.10 | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | COMBINE_EQS: (345), (4998) imply:
% 199.89/33.10 | | | | | | | | | | | | | (5002) all_6_2 = e3
% 199.89/33.10 | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | COMBINE_EQS: (349), (5002) imply:
% 199.89/33.10 | | | | | | | | | | | | | (5003) all_38_2 = e3
% 199.89/33.10 | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | COMBINE_EQS: (354), (5002) imply:
% 199.89/33.10 | | | | | | | | | | | | | (5004) all_56_13 = e3
% 199.89/33.10 | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | REDUCE: (374), (5002) imply:
% 199.89/33.10 | | | | | | | | | | | | | (5005) ~ (all_52_4 = e3)
% 199.89/33.10 | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | REDUCE: (39), (5002) imply:
% 199.89/33.10 | | | | | | | | | | | | | (5006) op(e2, e2) = e3
% 199.89/33.10 | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | BETA: splitting (88) gives:
% 199.89/33.10 | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | (5007) ~ (all_38_2 = e3)
% 199.89/33.10 | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | REDUCE: (5003), (5007) imply:
% 199.89/33.10 | | | | | | | | | | | | | | (5008) $false
% 199.89/33.10 | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | CLOSE: (5008) is inconsistent.
% 199.89/33.10 | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | (5009) op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 199.89/33.10 | | | | | | | | | | | | | | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0,
% 199.89/33.10 | | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 199.89/33.10 | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | ALPHA: (5009) implies:
% 199.89/33.10 | | | | | | | | | | | | | | (5010) op(e3, e2) = all_38_1
% 199.89/33.10 | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 199.89/33.10 | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | (5011) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 199.89/33.10 | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 199.89/33.10 | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | BETA: splitting (5011) gives:
% 199.89/33.10 | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | (5012) all_58_0 = e3 & op(e3, e3) = e3
% 199.89/33.10 | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (5012), (function-axioms) are
% 199.89/33.10 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 199.89/33.10 | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | (5013) all_58_1 = e3 & op(e3, e2) = e3
% 199.89/33.10 | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | ALPHA: (5013) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | (5014) all_58_1 = e3
% 199.89/33.10 | | | | | | | | | | | | | | | | (5015) op(e3, e2) = e3
% 199.89/33.10 | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | (5016) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 199.89/33.10 | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | BETA: splitting (5016) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (5017) all_58_1 = e2 & op(e3, e2) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5014), (5017) are inconsistent by sub-proof
% 199.89/33.10 | | | | | | | | | | | | | | | | | | #1918.
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (5018) all_58_3 = e2 & op(e2, e2) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5006), (5018), (function-axioms) are
% 199.89/33.10 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | (5019) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 199.89/33.10 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 199.89/33.10 | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | BETA: splitting (5019) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (5020) all_58_7 = e2 & op(e1, e2) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | ALPHA: (5020) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (5021) all_58_7 = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (226), (2384), (4336), (5021), (function-axioms)
% 199.89/33.10 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #506.
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (5022) all_58_13 = e2 & op(e0, e2) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | ALPHA: (5022) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (5023) all_58_13 = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (170), (235), (236),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (5000), (5001), (5006), (5010), (5014), (5015),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (5023), (function-axioms) are inconsistent by
% 199.89/33.10 | | | | | | | | | | | | | | | | | | sub-proof #505.
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | (5024) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 199.89/33.10 | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 199.89/33.10 | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | BETA: splitting (5024) gives:
% 199.89/33.10 | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | (5025) all_58_4 = e3 & op(e3, e1) = e3
% 199.89/33.10 | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | ALPHA: (5025) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | (5026) all_58_4 = e3
% 199.89/33.10 | | | | | | | | | | | | | | | | (5027) op(e3, e1) = e3
% 199.89/33.10 | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | (5028) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 199.89/33.10 | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 199.89/33.10 | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | BETA: splitting (5028) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (5029) all_58_6 = e3 & op(e1, e3) = e3
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (73),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (82), (97), (110), (121), (125), (126), (128),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (145), (149), (157), (158), (159), (160), (162),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (163), (164), (167), (168), (169), (170), (190),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (200), (201),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (203), (204), (214), (216), (217), (218), (219),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (226), (227), (228),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (255), (256), (257),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (258), (267), (269), (279), (282), (290), (292),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (300), (332), (334), (358), (360), (364), (366),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (368), (2366), (2370), (2371), (2372), (2373),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (2375), (2376), (2384), (2396), (2402), (4327),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (4328), (4330), (4332), (4334), (4335), (4342),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (4343), (4347), (4353), (4354), (4355), (4357),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (4359), (4361), (4363), (5000), (5004), (5005),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (5010), (5026), (5027), (5029), (function-axioms)
% 199.89/33.10 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #491.
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (5030) all_58_7 = e3 & op(e1, e2) = e3
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | ALPHA: (5030) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | (5031) all_58_7 = e3
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | (5032) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 199.89/33.10 | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | BETA: splitting (5032) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | (5033) all_58_0 = e3 & op(e3, e3) = e3
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (5033), (function-axioms) are
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | (5034) all_58_2 = e3 & op(e2, e3) = e3
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | ALPHA: (5034) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | (5035) all_58_2 = e3
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | (5036) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5036) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | (5037) all_58_0 = e2 & op(e3, e3) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5037) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | (5038) op(e3, e3) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | (5039) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (5006), (5038), (5039),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | #753.
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | (5040) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5040) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5041) all_58_5 = e2 & op(e2, e1) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5041) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5042) all_58_5 = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (227), (228), (2384),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5026), (5042) are inconsistent by sub-proof #970.
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5043) all_58_10 = e2 & op(e2, e0) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5043) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5044) all_58_10 = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5045) op(e2, e0) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (160), (226),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (239), (241), (245), (355), (2384),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (4336), (5006), (5031), (5035), (5038), (5044),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5045), (function-axioms) are inconsistent by
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #490.
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | (5046) all_58_2 = e2 & op(e2, e3) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5046) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | (5047) all_58_2 = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | (226), (2384), (4336), (5031), (5035), (5047),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | #489.
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | (5048) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5048) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | (5049) all_58_6 = e2 & op(e1, e3) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5049) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | (5050) op(e1, e3) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2371), (5050), (function-axioms) are
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | (5051) all_58_12 = e2 & op(e0, e3) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5051) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | (5052) all_58_12 = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | (5053) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5053) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5054) all_58_2 = e2 & op(e2, e3) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5054) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5055) all_58_2 = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (226), (2384), (4336), (5031), (5035), (5055),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | #489.
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5056) all_58_3 = e2 & op(e2, e2) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5006), (5056), (function-axioms) are
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | (5057) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5057) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5058) all_58_5 = e2 & op(e2, e1) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5058) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5059) all_58_5 = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (227), (228), (2384),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5026), (5059) are inconsistent by sub-proof #970.
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5060) all_58_10 = e2 & op(e2, e0) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5060) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5061) all_58_10 = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | (5062) op(e2, e0) = e2
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | (5063) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5063) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5064) all_58_2 = e0 & op(e2, e3) = e0
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (226), (239),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (2384), (4336), (5031), (5035), (5052),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5064), (function-axioms) are inconsistent by
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #578.
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5065) all_58_3 = e0 & op(e2, e2) = e0
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5065) implies:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5066) op(e2, e2) = e0
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5006), (5066), (function-axioms) are
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | (5067) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (232), (5006), (5035), (5061),
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | (5062), (5067), (function-axioms) are inconsistent
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #745.
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.10 | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | (5068) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 199.89/33.10 | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | BETA: splitting (5068) gives:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | | (5069) all_58_6 = e3 & op(e1, e3) = e3
% 199.89/33.10 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (73),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (82), (97), (110), (121), (125), (126), (128),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (145), (149), (157), (158), (159), (160), (162),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (163), (164), (167), (168), (169), (170), (190),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (200), (201),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (203), (204), (214), (216), (217), (218), (219),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (226), (227), (228),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (255), (256), (257),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (258), (267), (269), (279), (282), (290), (292),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (300), (332), (334), (358), (360), (364), (366),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (368), (2366), (2370), (2371), (2372), (2373),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (2375), (2376), (2384), (2396), (2402), (4327),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (4328), (4330), (4332), (4334), (4335), (4342),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (4343), (4347), (4353), (4354), (4355), (4357),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (4359), (4361), (4363), (5000), (5004), (5005),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (5010), (5026), (5027), (5069), (function-axioms)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #491.
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (5070) all_58_12 = e3 & op(e0, e3) = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | ALPHA: (5070) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (5071) op(e0, e3) = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (4331), (5071), (function-axioms) are
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.11 | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.11 | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | End of split
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5072) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 199.89/33.11 | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (2384), (4336), (5072),
% 199.89/33.11 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.11 | | | | | | | | | | | | | | | | | #633.
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | End of split
% 199.89/33.11 | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | (5073) all_58_9 = e3 & op(e3, e0) = e3
% 199.89/33.11 | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | ALPHA: (5073) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | | (5074) op(e3, e0) = e3
% 199.89/33.11 | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4327), (4334), (4347), (5074),
% 199.89/33.11 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.11 | | | | | | | | | | | | | | | | #1035.
% 199.89/33.11 | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | End of split
% 199.89/33.11 | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | End of split
% 199.89/33.11 | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | End of split
% 199.89/33.11 | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | End of split
% 199.89/33.11 | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | (5075) all_14_2 = e2
% 199.89/33.11 | | | | | | | | | | | | (5076) op(e2, e3) = all_14_1 & $i(all_14_1) & ( ~
% 199.89/33.11 | | | | | | | | | | | | (all_14_1 = e1) | ( ~ (all_14_0 = e0) & op(e1,
% 199.89/33.11 | | | | | | | | | | | | e3) = all_14_0 & $i(all_14_0)))
% 199.89/33.11 | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | ALPHA: (5076) implies:
% 199.89/33.11 | | | | | | | | | | | | (5077) op(e2, e3) = all_14_1
% 199.89/33.11 | | | | | | | | | | | | (5078) ~ (all_14_1 = e1) | ( ~ (all_14_0 = e0) & op(e1,
% 199.89/33.11 | | | | | | | | | | | | e3) = all_14_0 & $i(all_14_0))
% 199.89/33.11 | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | COMBINE_EQS: (339), (5075) imply:
% 199.89/33.11 | | | | | | | | | | | | (5079) all_22_2 = e2
% 199.89/33.11 | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | COMBINE_EQS: (290), (5075) imply:
% 199.89/33.11 | | | | | | | | | | | | (5080) all_56_12 = e2
% 199.89/33.11 | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | REDUCE: (360), (5075) imply:
% 199.89/33.11 | | | | | | | | | | | | (5081) ~ (all_52_1 = e2)
% 199.89/33.11 | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | REDUCE: (355), (5075) imply:
% 199.89/33.11 | | | | | | | | | | | | (5082) ~ (e3 = e2)
% 199.89/33.11 | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | REDUCE: (51), (5075) imply:
% 199.89/33.11 | | | | | | | | | | | | (5083) op(e3, e3) = e2
% 199.89/33.11 | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | BETA: splitting (64) gives:
% 199.89/33.11 | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | (5084) ~ (all_22_2 = e2)
% 199.89/33.11 | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | REDUCE: (5079), (5084) imply:
% 199.89/33.11 | | | | | | | | | | | | | (5085) $false
% 199.89/33.11 | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | CLOSE: (5085) is inconsistent.
% 199.89/33.11 | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | (5086) op(e2, e3) = all_22_1 & $i(all_22_1) & ( ~
% 199.89/33.11 | | | | | | | | | | | | | (all_22_1 = e0) | ( ~ (all_22_0 = e1) & op(e0,
% 199.89/33.11 | | | | | | | | | | | | | e3) = all_22_0 & $i(all_22_0)))
% 199.89/33.11 | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | ALPHA: (5086) implies:
% 199.89/33.11 | | | | | | | | | | | | | (5087) op(e2, e3) = all_22_1
% 199.89/33.11 | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | BETA: splitting (233) gives:
% 199.89/33.11 | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | (5088) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 199.89/33.11 | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 199.89/33.11 | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (239),
% 199.89/33.11 | | | | | | | | | | | | | | (241), (245), (355), (356), (5083), (5088),
% 199.89/33.11 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.11 | | | | | | | | | | | | | | #623.
% 199.89/33.11 | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | (5089) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 199.89/33.11 | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 199.89/33.11 | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | BETA: splitting (5089) gives:
% 199.89/33.11 | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | (5090) all_58_5 = e2 & op(e2, e1) = e2
% 199.89/33.11 | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | ALPHA: (5090) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | (5091) all_58_5 = e2
% 199.89/33.11 | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (227), (228),
% 199.89/33.11 | | | | | | | | | | | | | | | (230), (2384), (4333), (5091), (function-axioms)
% 199.89/33.11 | | | | | | | | | | | | | | | are inconsistent by sub-proof #793.
% 199.89/33.11 | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | (5092) all_58_10 = e2 & op(e2, e0) = e2
% 199.89/33.11 | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | ALPHA: (5092) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | (5093) all_58_10 = e2
% 199.89/33.11 | | | | | | | | | | | | | | | (5094) op(e2, e0) = e2
% 199.89/33.11 | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 199.89/33.11 | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | (5095) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 199.89/33.11 | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 199.89/33.11 | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (168),
% 199.89/33.11 | | | | | | | | | | | | | | | | (240), (242), (246), (355), (356), (4327), (4334),
% 199.89/33.11 | | | | | | | | | | | | | | | | (4347), (5083), (5095), (function-axioms) are
% 199.89/33.11 | | | | | | | | | | | | | | | | inconsistent by sub-proof #484.
% 199.89/33.11 | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | (5096) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 199.89/33.11 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 199.89/33.11 | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | BETA: splitting (5096) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5097) all_58_7 = e2 & op(e1, e2) = e2
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | ALPHA: (5097) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5098) all_58_7 = e2
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 199.89/33.11 | | | | | | | | | | | | | | | | | (226), (2384), (4336), (5098), (function-axioms)
% 199.89/33.11 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #506.
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5099) all_58_13 = e2 & op(e0, e2) = e2
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | ALPHA: (5099) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5100) all_58_13 = e2
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5101) op(e0, e2) = e2
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 199.89/33.11 | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (5101) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5102) all_52_7 = e2
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 199.89/33.11 | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (5094) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5103) all_52_13 = e2
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 199.89/33.11 | | | | | | | | | | | | | | | | | all_14_1, e3, e2, simplifying with (167), (5077)
% 199.89/33.11 | | | | | | | | | | | | | | | | | gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5104) all_52_1 = all_14_1
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 199.89/33.11 | | | | | | | | | | | | | | | | | all_22_1, e3, e2, simplifying with (167), (5087)
% 199.89/33.11 | | | | | | | | | | | | | | | | | gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5105) all_52_1 = all_22_1
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | COMBINE_EQS: (5104), (5105) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5106) all_22_1 = all_14_1
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (5104) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5107) all_54_4 = all_14_1
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | REDUCE: (149), (5104) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5108) ~ (all_52_2 = all_14_1)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | SIMP: (5108) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5109) ~ (all_52_2 = all_14_1)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | REDUCE: (148), (5104) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5110) ~ (all_52_3 = all_14_1)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | SIMP: (5110) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5111) ~ (all_52_3 = all_14_1)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | REDUCE: (2395), (5104) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5112) ~ (all_14_1 = all_8_1)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | REDUCE: (371), (5104) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5113) ~ (all_14_1 = all_6_2)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | REDUCE: (5081), (5104) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5114) ~ (all_14_1 = e2)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | REDUCE: (140), (5102) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5115) ~ (all_52_3 = e2)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | REDUCE: (135), (5102) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5116) ~ (all_52_4 = e2)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | REDUCE: (125), (5102) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5117) ~ (all_52_11 = e2)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | REDUCE: (110), (5103) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5118) ~ (all_52_14 = e2)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | REDUCE: (4357), (5103) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5119) ~ (all_10_1 = e2)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | SIMP: (5119) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5120) ~ (all_10_1 = e2)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | REDUCE: (2400), (5103) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5121) ~ (all_8_1 = e2)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | REDUCE: (382), (5103) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | (5122) ~ (all_6_2 = e2)
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | (5123) ~ (all_16_2 = e3)
% 199.89/33.11 | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | REDUCE: (345), (5123) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | (5124) ~ (all_6_2 = e3)
% 199.89/33.11 | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | (5125) all_54_5 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (5124), (5125) are inconsistent by
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | sub-proof #1928.
% 199.89/33.11 | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | (5126) ~ (all_54_5 = e3)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | (5127) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (5127) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (5128) all_54_5 = e2
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (356), (5128) are inconsistent by sub-proof
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | #1927.
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (5129) ~ (all_54_5 = e2)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | (5130) all_54_5 = e1 | all_54_5 = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5130) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | (5131) all_54_5 = e1
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (396), (5131) are inconsistent by sub-proof
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | #1926.
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | (5132) all_54_5 = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (5132) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | (5133) all_6_2 = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | SIMP: (5133) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | (5134) all_6_2 = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (5134) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | (5135) ~ (all_52_4 = e0)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (5134) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | (5136) ~ (all_52_6 = e0)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5113), (5134) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | (5137) ~ (all_14_1 = e0)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2401), (5134) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | (5138) ~ (all_8_1 = e0)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5124), (5134) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | (5139) ~ (e3 = e0)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (5134) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | (5140) ~ (e2 = e0)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (5134) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | (5141) ~ (e1 = e0)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5134) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | (5142) op(e2, e2) = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | (5143) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5143) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | (5144) all_58_2 = e0 & op(e2, e3) = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5144) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | (5145) all_58_2 = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (216),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (245), (246), (355), (358),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | (2371), (2376), (2384), (4327), (4331), (4332),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | (4333), (4334), (4335), (4336), (4342), (4343),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | (4347), (5142), (5145), (function-axioms) are
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #534.
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | (5146) all_58_3 = e0 & op(e2, e2) = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5146) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | (5147) all_58_3 = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | (5148) all_54_11 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (5148) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | (5149) all_52_14 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4336), (5149) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | (5150) $false
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5150) is inconsistent.
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | (5151) ~ (all_54_11 = e3)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | (5152) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | (5153) all_54_3 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4353), (4362), (5153) are inconsistent by
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1053.
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | (5154) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5155) all_54_14 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (5155) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5156) all_52_11 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4333), (5156) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5157) $false
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5157) is inconsistent.
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5158) ~ (all_54_14 = e3)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5159) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5160) all_54_12 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (5160) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5161) all_52_3 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4331), (5161) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5162) $false
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5162) is inconsistent.
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5163) ~ (all_54_12 = e3)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5164) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5165) all_54_4 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5107), (5165) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5166) all_14_1 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5166) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5167) all_14_1 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5109), (5167) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5168) ~ (all_52_2 = e3)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5112), (5167) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5169) ~ (all_8_1 = e3)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5169) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5170) ~ (all_8_1 = e3)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5171) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (51), (159), (163), (245), (355),
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4331), (5147), (5168), (5171), (function-axioms)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #606.
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5172) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5172) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5173) all_58_5 = e1 & op(e2, e1) = e1
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5173) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5174) all_58_5 = e1
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5175) all_54_6 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2394), (5170), (5175) are inconsistent by
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5176) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5177) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5177) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5178) all_58_2 = e3 & op(e2, e3) = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5178) implies:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5179) all_58_2 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5176) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5180) all_54_6 = e2
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2394), (5180) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5181) all_8_1 = e2
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2402), (5181) imply:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5182) $false
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5182) is inconsistent.
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5183) all_54_6 = e1 | all_54_6 = e0
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5184) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5184) gives:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5185) all_58_6 = e3 & op(e1, e3) = e3
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5185) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5186) all_58_6 = e3
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (239), (241), (5083),
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5179), (5186), (function-axioms) are inconsistent
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1107.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5187) all_58_7 = e3 & op(e1, e2) = e3
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5187) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5188) all_58_7 = e3
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5189) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5189) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5190) all_58_4 = e3 & op(e3, e1) = e3
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5190) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5191) all_58_4 = e3
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5192) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5192) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5193) all_58_1 = e1 & op(e3, e2) = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5193) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5194) all_58_1 = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5195) op(e3, e2) = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5196) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (216),
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (245), (246), (355), (358),
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371), (2376), (2384), (4327), (4331), (4332),
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333), (4334), (4335), (4336), (4342), (4343),
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347), (5142), (5179), (5191), (5196),
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #483.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5197) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198) all_58_8 = e0 & op(e1, e1) = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5198) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5199) all_58_8 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2384), (5199) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200) e2 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5093), (5200) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5201) all_58_10 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (233), (237),
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (5100), (5147), (5179), (5188), (5194),
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5201) are inconsistent by sub-proof #1549.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5202) all_58_14 = e0 & op(e0, e1) = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5202) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5203) all_58_14 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5204) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5204) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5205) all_58_12 = e1 & op(e0, e3) = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5205) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5206) op(e0, e3) = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5183) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5207) all_54_6 = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2394), (5207) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208) all_8_1 = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2396), (5208) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5209) ~ (all_52_8 = e1)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2398), (5208) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5210) ~ (all_52_11 = e1)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5159) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5211) all_54_14 = e2
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (2375), (5211) are inconsistent by
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1518.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5212) all_54_14 = e1 | all_54_14 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5212) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5213) all_54_14 = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (5210), (5213) are inconsistent by
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1517.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5214) all_54_14 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (5214) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5215) all_52_11 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5215) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5216) all_52_11 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (5216) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5217) ~ (all_52_3 = e0)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (5216) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5218) ~ (all_52_8 = e0)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (5216) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5219) op(e0, e1) = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5220) all_54_2 = e3
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (5220) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5221) all_52_8 = e3
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5221) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5222) all_52_8 = e3
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5222) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5223) ~ (all_52_4 = e3)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5224) all_54_1 = e3
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (5223), (5224) are inconsistent by
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1709.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5225) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5226) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5226) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5227) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5227) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5228) op(e3, e2) = all_56_0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5229) ~ (all_56_12 = e2) | all_56_0 = e3
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5229) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5230) ~ (all_56_12 = e2)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5080), (5230) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5231) $false
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5231) is inconsistent.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5232) all_56_0 = e3
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5228), (5232) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5233) op(e3, e2) = e3
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5164) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5234) all_54_12 = e2
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (5115), (5234) are inconsistent by
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1470.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5235) all_54_12 = e1 | all_54_12 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5235) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5236) all_54_12 = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (5236) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5237) all_52_3 = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5237) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5238) all_52_3 = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (5238) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5239) ~ (all_52_2 = e1)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5240) all_54_8 = e3
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (5168), (5240) are inconsistent by
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1880.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5241) ~ (all_54_8 = e3)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5242) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5242) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5243) all_54_8 = e2
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (2371), (5243) are inconsistent by
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5244) all_54_8 = e1 | all_54_8 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5244) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5245) all_54_8 = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (5239), (5245) are inconsistent by
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1739.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5246) all_54_8 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (5246) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5247) all_52_2 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5247) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5248) all_52_2 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (5248) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5249) ~ (all_52_14 = e0)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5249) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5250) ~ (all_52_14 = e0)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5152) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5251) all_54_11 = e2
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2376), (5251) are inconsistent by
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1282.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5252) all_54_11 = e1 | all_54_11 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5252) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5253) all_54_11 = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (5253) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5254) all_52_14 = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5254) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5255) all_52_14 = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4336), (5255) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5256) ~ (e3 = e1)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e2,
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (5195), (5233) gives:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5257) e3 = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5179), (5257) imply:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5258) all_58_2 = e1
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (4331),
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5168), (5258), (function-axioms) are inconsistent
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #607.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5259) all_54_11 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (5250), (5259) are inconsistent by
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5260) all_54_12 = e0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (5217), (5260) are inconsistent by
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1214.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5261) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5261) implies:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5262) op(e0, e1) = all_56_11
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5263) all_56_11 = e3 | ( ~ (all_56_9 = e1) & op(e0, e3)
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4333), (5206), (5262), (5263),
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #481.
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5264) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5264) gives:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5265) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5265) implies:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5266) all_56_15 = e1 | ( ~ (all_56_11 = e0) & op(e0, e1)
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4330), (5219), (5266), (function-axioms) are
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1057.
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5267) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5267) implies:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5268) op(e0, e3) = all_56_9
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5269) ~ (all_56_15 = e3) | all_56_9 = e0
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5269) gives:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5270) ~ (all_56_15 = e3)
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4330), (5270) imply:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5271) $false
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5271) is inconsistent.
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5272) all_56_9 = e0
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5268), (5272) imply:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5273) op(e0, e3) = e0
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5225) gives:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5274) all_54_1 = e2
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (5116), (5274) are inconsistent by
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1779.
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5275) all_54_1 = e1 | all_54_1 = e0
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5275) gives:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5276) all_54_1 = e1
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (5276) imply:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5277) all_52_4 = e1
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5277) implies:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5278) all_52_4 = e1
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4354), (5278) imply:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5279) ~ (all_10_1 = e1)
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5279) implies:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5280) ~ (all_10_1 = e1)
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5154) gives:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5281) all_54_3 = e2
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4353), (5120), (5281) are inconsistent by
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1051.
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5282) all_54_3 = e1 | all_54_3 = e0
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5282) gives:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5283) all_54_3 = e1
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4353), (5280), (5283) are inconsistent by
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1050.
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5284) all_54_3 = e0
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4353), (5284) imply:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5285) all_10_1 = e0
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5285) implies:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5286) all_10_1 = e0
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4359), (5286) imply:
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5287) ~ (all_52_14 = e0)
% 199.89/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5152) gives:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5288) all_54_11 = e2
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2376), (5288) are inconsistent by
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1282.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5289) ~ (all_54_11 = e2)
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5290) all_54_11 = e1 | all_54_11 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5290) gives:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5291) all_54_11 = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (5291) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5292) all_52_14 = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5292) implies:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5293) all_52_14 = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (5293) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5294) ~ (all_52_2 = e1)
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4336), (5293) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5295) ~ (e3 = e1)
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2376), (5293) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5296) ~ (e2 = e1)
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5297) all_54_8 = e3
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (5168), (5297) are inconsistent by
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1880.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5298) ~ (all_54_8 = e3)
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5299) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5299) gives:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5300) all_54_8 = e2
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (5300) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5301) all_52_2 = e2
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2371), (5301) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5302) $false
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5302) is inconsistent.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5303) ~ (all_54_8 = e2)
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5304) all_54_8 = e1 | all_54_8 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5304) gives:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5305) all_54_8 = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (5305) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5306) all_52_2 = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5294), (5306) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5307) $false
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5307) is inconsistent.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5308) all_54_8 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (5308) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5309) all_52_2 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e3,
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (5206), (5273) gives:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5310) e1 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5194), (5310) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5311) all_58_1 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (236), (237), (238), (239),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (2384), (4336), (5083), (5147), (5174),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5179), (5191), (5203), (5311), (function-axioms)
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #480.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5312) all_54_11 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (5287), (5312) are inconsistent by
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5313) all_54_1 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (5135), (5313) are inconsistent by
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1777.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5314) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (2373), (5209), (5218), (5314) are
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #943.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5315) all_54_6 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2394), (5315) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5316) all_8_1 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5138), (5316) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5317) $false
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5317) is inconsistent.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5318) all_58_13 = e1 & op(e0, e2) = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5318) implies:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5319) all_58_13 = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (237), (5147), (5188), (5194),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5319) are inconsistent by sub-proof #1626.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5320) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (216),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (245), (246), (355), (358),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371), (2376), (2384), (4327), (4331), (4332),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333), (4334), (4335), (4336), (4342), (4343),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347), (5142), (5179), (5191), (5320),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #509.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5321) all_58_3 = e1 & op(e2, e2) = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5321) implies:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5322) all_58_3 = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5147), (5322) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5323) e1 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5323) implies:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5324) e1 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5174), (5324) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5325) all_58_5 = e0
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (163), (164), (216), (218), (221), (224),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (232), (233), (234), (235), (238),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (245), (355),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (2371), (2376), (2384), (4332), (4335),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4336), (4342), (5142), (5191), (5325),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #574.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5326) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5326) gives:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5327) all_58_7 = e1 & op(e1, e2) = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5327) implies:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5328) all_58_7 = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5188), (5328) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5329) e3 = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5179), (5329) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5330) all_58_2 = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (4331),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5168), (5330), (function-axioms) are inconsistent
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #607.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5331) all_58_13 = e1 & op(e0, e2) = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5100), (5331) are inconsistent by sub-proof
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1672.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5332) all_58_5 = e3 & op(e2, e1) = e3
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5332) implies:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5333) all_58_5 = e3
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5174), (5333) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5334) e3 = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5334) implies:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5335) e3 = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5179), (5335) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5336) all_58_2 = e1
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (4331),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5168), (5336), (function-axioms) are inconsistent
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #607.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5337) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5337) gives:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5338) all_58_8 = e3 & op(e1, e1) = e3
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5338) implies:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5339) all_58_8 = e3
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2384), (5339) imply:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5340) e3 = e2
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (5083), (5179), (5340),
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5341) all_58_14 = e3 & op(e0, e1) = e3
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5341) implies:
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5342) op(e0, e1) = e3
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4333), (5342), (function-axioms) are
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1841.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5343) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (160), (239),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (245), (355), (2384), (4336), (5083),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5179), (5343), (function-axioms) are inconsistent
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #588.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5344) all_58_3 = e3 & op(e2, e2) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5344) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5345) op(e2, e2) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5142), (5345), (function-axioms) are
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5346) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5346) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5347) all_58_5 = e3 & op(e2, e1) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5347) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5348) all_58_5 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5174), (5348) are inconsistent by sub-proof
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1022.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5349) all_58_10 = e3 & op(e2, e0) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5349) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5350) op(e2, e0) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4335), (5350), (function-axioms) are
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351) all_58_10 = e1 & op(e2, e0) = e1
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5351) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5352) op(e2, e0) = e1
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5094), (5352), (function-axioms) are
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1785.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5353) ~ (all_54_4 = e3)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5354) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5107), (5353) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5355) ~ (all_14_1 = e3)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5354) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5356) all_54_4 = e2
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5107), (5114), (5356) are inconsistent by
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1218.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5357) ~ (all_54_4 = e2)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5358) all_54_4 = e1 | all_54_4 = e0
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5359) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5359) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5360) all_58_2 = e3 & op(e2, e3) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5360) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5361) all_58_2 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5358) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5362) all_54_4 = e1
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5107), (5362) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5363) all_14_1 = e1
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5109), (5363) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5364) ~ (all_52_2 = e1)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5111), (5363) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5365) ~ (all_52_3 = e1)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5355), (5363) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5366) ~ (e3 = e1)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5114), (5363) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5367) ~ (e2 = e1)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5368) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5368) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5369) all_58_0 = e3 & op(e3, e3) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (5369), (function-axioms) are
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5370) all_58_1 = e3 & op(e3, e2) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5370) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5371) all_58_1 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (121),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (136), (139), (141), (143), (144), (157),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (170),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (202), (203), (216), (217), (218),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (226), (227),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (233), (234), (235),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (245), (246), (255), (257), (267), (268),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281), (282), (355), (358), (2371), (2372),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373), (2375), (2376), (2384), (4327), (4331),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332), (4333), (4334), (4335), (4336), (4342),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343), (4347), (5078), (5083), (5093), (5094),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5100), (5107), (5115), (5116), (5135), (5136),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5137), (5142), (5147), (5159), (5164), (5358),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5361), (5364), (5365), (5371), (function-axioms)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #478.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5372) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5372) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5373) all_58_4 = e3 & op(e3, e1) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5373) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5374) all_58_4 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (121),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (136), (139), (141), (143), (144), (157),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (170),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (202), (203), (216), (217), (218),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (226), (227),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (233), (234), (235),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (245), (246), (255), (257), (267), (268),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281), (282), (355), (358), (2371), (2372),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373), (2375), (2376), (2384), (4327), (4331),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332), (4333), (4334), (4335), (4336), (4342),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343), (4347), (5078), (5083), (5093), (5094),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5107), (5115), (5116), (5135), (5136), (5137),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5142), (5147), (5159), (5164), (5358), (5361),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5364), (5365), (5374), (function-axioms) are
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #479.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5375) all_58_9 = e3 & op(e3, e0) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5375) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5376) op(e3, e0) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4327), (4334), (4347), (5376),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1035.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5377) all_54_4 = e0
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5107), (5377) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5378) all_14_1 = e0
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5137), (5378) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5379) $false
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5379) is inconsistent.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5380) all_58_3 = e3 & op(e2, e2) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5380) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5381) op(e2, e2) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5142), (5381), (function-axioms) are
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5382) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5382) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5383) all_58_5 = e3 & op(e2, e1) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5383) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5384) all_58_5 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5358) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385) all_54_4 = e1
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5107), (5385) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5386) all_14_1 = e1
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5109), (5386) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5387) ~ (all_52_2 = e1)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5111), (5386) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5388) ~ (all_52_3 = e1)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5112), (5386) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5389) ~ (all_8_1 = e1)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5389) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5390) ~ (all_8_1 = e1)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5114), (5386) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5391) ~ (e2 = e1)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5392) all_54_6 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2394), (5392) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5393) all_8_1 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5393) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5394) all_8_1 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2393), (5394) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5395) all_48_1 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5396) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5396) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5397) all_58_0 = e3 & op(e3, e3) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (5397), (function-axioms) are
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5398) all_58_1 = e3 & op(e3, e2) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5398) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5399) all_58_1 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5400) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5400) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5401) all_58_2 = e1 & op(e2, e3) = e1
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5401) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5402) all_58_2 = e1
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5403) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5403) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5404) all_58_0 = e3 & op(e3, e3) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (5404), (function-axioms) are
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5405) all_58_2 = e3 & op(e2, e3) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5405) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5406) all_58_2 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (121),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (136), (139), (141), (143), (144), (157),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (170),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (202), (203), (216), (217), (218),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (226), (227),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (233), (234), (235),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (245), (246), (255), (257), (267), (268),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281), (282), (355), (358), (2371), (2372),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373), (2375), (2376), (2384), (4327), (4331),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332), (4333), (4334), (4335), (4336), (4342),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343), (4347), (5078), (5083), (5093), (5094),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5100), (5107), (5115), (5116), (5135), (5136),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5137), (5142), (5147), (5159), (5164), (5358),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5387), (5388), (5399), (5406), (function-axioms)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #478.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5407) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5407) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5408) all_58_6 = e3 & op(e1, e3) = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5408) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5409) all_58_6 = e3
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5410) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5410) gives:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5411) all_58_1 = e1 & op(e3, e2) = e1
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5399), (5411) are inconsistent by sub-proof
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1921.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5412) all_58_3 = e1 & op(e2, e2) = e1
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5412) implies:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5413) all_58_3 = e1
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5147), (5413) imply:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5414) e1 = e0
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (216),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (245), (246), (355), (358),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371), (2376), (2384), (4327), (4331), (4332),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333), (4334), (4335), (4336), (4342), (4343),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347), (5093), (5094), (5142), (5384), (5402),
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5414), (function-axioms) are inconsistent by
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #477.
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5415) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5415) gives:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5416) all_58_7 = e1 & op(e1, e2) = e1
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5416) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5417) all_58_7 = e1
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5418) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5418) gives:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5419) all_58_6 = e0 & op(e1, e3) = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5419) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5420) all_58_6 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5409), (5420) imply:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5421) e3 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5421) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5422) e3 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5399), (5422) imply:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5423) all_58_1 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (168), (216), (218),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (224), (226), (227), (228), (230), (232),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (238), (239), (240), (241),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (245), (246), (355), (358), (2371),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376), (2384), (4327), (4332), (4333), (4334),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335), (4336), (4342), (4347), (5142), (5384),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5423), (function-axioms) are inconsistent by
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #568.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5424) all_58_7 = e0 & op(e1, e2) = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5424) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5425) all_58_7 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5417), (5425) imply:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5426) e1 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5426) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5427) e1 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5402), (5427) imply:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5428) all_58_2 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (45), (216), (224), (232), (358),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (5094), (5142), (5384), (5409), (5425),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5428), (function-axioms) are inconsistent by
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #565.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5429) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5429) gives:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5430) all_58_8 = e0 & op(e1, e1) = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (216), (218), (221),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (230), (232), (233),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (238), (239), (240), (241), (242),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (245), (355), (358), (2371), (2376),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (4332), (4333), (4335), (4336), (4342),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5093), (5142), (5147), (5430), (function-axioms)
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #512.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5431) all_58_11 = e0 & op(e1, e0) = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5431) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5432) all_58_11 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5433) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5433) gives:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5434) all_58_9 = e1 & op(e3, e0) = e1
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5434) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5435) all_58_9 = e1
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5436) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5436) gives:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5437) all_58_0 = e0 & op(e3, e3) = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5437) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5438) op(e3, e3) = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5083), (5438), (function-axioms) are
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5439) all_58_1 = e0 & op(e3, e2) = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5439) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5440) all_58_1 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (168), (216), (218),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (224), (226), (227), (228), (230), (232),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (238), (239), (240), (241),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (245), (246), (355), (358), (2371),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376), (2384), (4327), (4332), (4333), (4334),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335), (4336), (4342), (4347), (5142), (5384),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5440), (function-axioms) are inconsistent by
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #568.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5441) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5441) gives:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5442) all_58_4 = e0 & op(e3, e1) = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2389), (5395), (5442), (function-axioms) are
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #476.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5443) all_58_9 = e0 & op(e3, e0) = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5443) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5444) all_58_9 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5435), (5444) imply:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5445) e1 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (216),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (245), (246), (355), (358),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371), (2376), (2384), (4327), (4331), (4332),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333), (4334), (4335), (4336), (4342), (4343),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347), (5093), (5094), (5142), (5384), (5402),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5445), (function-axioms) are inconsistent by
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #477.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5446) all_58_10 = e1 & op(e2, e0) = e1
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (163), (164), (168), (216), (218), (221),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (232), (233), (234),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (238), (239), (240), (241), (242), (243),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (355), (358), (2371), (2376),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (4327), (4332), (4334), (4335), (4336),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342), (4347), (5083), (5142), (5384), (5446),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #475.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5447) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5447) gives:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5448) all_58_11 = e1 & op(e1, e0) = e1
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5448) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5449) all_58_11 = e1
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5432), (5449) imply:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5450) e1 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5402), (5450) imply:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5451) all_58_2 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (216),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (245), (246), (355), (358),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371), (2376), (2384), (4327), (4331), (4332),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333), (4334), (4335), (4336), (4342), (4343),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347), (5093), (5094), (5142), (5384), (5451),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #535.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5452) all_58_15 = e1 & op(e0, e0) = e1
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5452) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5453) op(e0, e0) = e1
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4343), (5453), (function-axioms) are
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5454) all_58_13 = e1 & op(e0, e2) = e1
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5100), (5454) are inconsistent by sub-proof
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1672.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5455) all_58_12 = e3 & op(e0, e3) = e3
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5455) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5456) op(e0, e3) = e3
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (4331), (5456), (function-axioms) are
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5457) all_58_3 = e1 & op(e2, e2) = e1
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5457) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5458) all_58_3 = e1
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5147), (5458) are inconsistent by sub-proof
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1551.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5459) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5459) gives:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5460) all_58_5 = e1 & op(e2, e1) = e1
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5384), (5460) are inconsistent by sub-proof
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #965.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5461) all_58_10 = e1 & op(e2, e0) = e1
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (163), (164), (168), (216), (218), (221),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (232), (233), (234),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (238), (239), (240), (241), (242), (243),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (355), (358), (2371), (2376),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384), (4327), (4332), (4334), (4335), (4336),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342), (4347), (5083), (5142), (5384), (5461),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #475.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5462) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (163), (164), (168), (216), (218), (221),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (232), (233), (234),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (238), (239), (240), (241), (242), (243),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (358), (2371), (2376), (2384),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4327), (4332), (4334), (4335), (4336), (4342),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347), (5142), (5384), (5462), (function-axioms)
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #569.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5463) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2394), (2402), (5138), (5390), (5463) are
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #928.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5464) all_54_4 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5107), (5464) imply:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465) all_14_1 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5137), (5465) imply:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5466) $false
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5466) is inconsistent.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467) all_58_10 = e3 & op(e2, e0) = e3
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5467) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5468) op(e2, e0) = e3
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4335), (5468), (function-axioms) are
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | (5469) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5469) gives:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (5470) all_58_5 = e0 & op(e2, e1) = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5470) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (5471) all_58_5 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (163), (164), (216), (218), (221),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (228), (230), (232), (233), (234),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (235), (238), (239), (240), (241), (242), (243),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (358), (2371), (2376), (2384),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (4332), (4333), (4335), (4336), (4342), (5142),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (5471), (function-axioms) are inconsistent by
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #573.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (5472) all_58_10 = e0 & op(e2, e0) = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5472) implies:
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (5473) all_58_10 = e0
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (216),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (245), (246), (355), (358),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (2371), (2376), (2384), (4327), (4331), (4332),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (4333), (4334), (4335), (4336), (4342), (4343),
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | (4347), (5142), (5473), (function-axioms) are
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #536.
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.15 | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.15 | | | | | | | | | | | | | | | | | |
% 200.44/33.15 | | | | | | | | | | | | | | | | | | (5474) all_16_2 = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | (5475) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 200.44/33.16 | | | | | | | | | | | | | | | | | | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 200.44/33.16 | | | | | | | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0)))
% 200.44/33.16 | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | ALPHA: (5475) implies:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | (5476) op(e3, e2) = all_16_1
% 200.44/33.16 | | | | | | | | | | | | | | | | | | (5477) ~ (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 200.44/33.16 | | | | | | | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0))
% 200.44/33.16 | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (5474) imply:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | (5478) all_6_2 = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | SIMP: (5478) implies:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | (5479) all_6_2 = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (5479) imply:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | (5480) all_38_2 = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (5479) imply:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | (5481) all_56_13 = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | REDUCE: (374), (5479) imply:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | (5482) ~ (all_52_4 = e3)
% 200.44/33.16 | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | REDUCE: (39), (5479) imply:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | (5483) op(e2, e2) = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 200.44/33.16 | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | (5484) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 200.44/33.16 | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (5484) gives:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (5485) all_58_6 = e3 & op(e1, e3) = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | ALPHA: (5485) implies:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (5486) all_58_6 = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (5487) op(e1, e3) = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (88),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (141), (160), (163), (164), (168), (169), (170),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (193), (201), (214), (216), (218), (220), (223),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (234), (235),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (236), (239), (241), (243), (246), (258), (355),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (358), (2370), (2371), (2373), (2376), (2384),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (4327), (4330), (4334), (4335), (4342), (4343),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (4347), (4348), (4352), (4353), (4355), (4359),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (5077), (5080), (5083), (5094), (5100), (5101),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (5114), (5120), (5476), (5477), (5480), (5481),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (5482), (5483), (5486), (5487), (function-axioms)
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #471.
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (5488) all_58_7 = e3 & op(e1, e2) = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | ALPHA: (5488) implies:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | (5489) all_58_7 = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | (5490) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5490) gives:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (5491) all_58_0 = e3 & op(e3, e3) = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (5491), (function-axioms) are
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (5492) all_58_2 = e3 & op(e2, e3) = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5492) implies:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (5493) all_58_2 = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (160), (226),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (239), (241), (245), (355), (2384),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (4336), (5083), (5093), (5094), (5483), (5489),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (5493), (function-axioms) are inconsistent by
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | sub-proof #490.
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | (5494) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5494) gives:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (5495) all_58_6 = e3 & op(e1, e3) = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5495) implies:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (5496) all_58_6 = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (5497) op(e1, e3) = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (88),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (141), (160), (163), (164), (168), (169), (170),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (193), (201), (214), (216), (218), (220), (223),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (234), (235),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (236), (239), (241), (243), (246), (258), (355),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (358), (2370), (2371), (2373), (2376), (2384),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (4327), (4330), (4334), (4335), (4342), (4343),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (4347), (4348), (4352), (4353), (4355), (4359),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (5077), (5080), (5083), (5094), (5100), (5101),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (5114), (5120), (5476), (5477), (5480), (5481),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (5482), (5483), (5496), (5497), (function-axioms)
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #471.
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (5498) all_58_12 = e3 & op(e0, e3) = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5498) implies:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | (5499) op(e0, e3) = e3
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (4331), (5499), (function-axioms) are
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.16 | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | (5500) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 200.44/33.16 | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (2384), (4336), (5500),
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.16 | | | | | | | | | | | | | | | | | | | #633.
% 200.44/33.16 | | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | |
% 200.44/33.16 | | | | | | | | End of split
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | End of split
% 200.44/33.16 | | | | | | |
% 200.44/33.16 | | | | | | End of split
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | Case 2:
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | (5501) all_58_11 = e2 & op(e1, e0) = e2
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | ALPHA: (5501) implies:
% 200.44/33.16 | | | | | | (5502) op(e1, e0) = e2
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | REF_CLOSE: (160), (2376), (5502), (function-axioms) are inconsistent
% 200.44/33.16 | | | | | | by sub-proof #954.
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | End of split
% 200.44/33.16 | | | | |
% 200.44/33.16 | | | | End of split
% 200.44/33.16 | | | |
% 200.44/33.16 | | | End of split
% 200.44/33.16 | | |
% 200.44/33.16 | | Case 2:
% 200.44/33.16 | | |
% 200.44/33.16 | | | (5503) all_6_2 = e1
% 200.44/33.16 | | | (5504) op(e1, e2) = all_6_1 & $i(all_6_1) & ( ~ (all_6_1 = e0) | ( ~
% 200.44/33.16 | | | (all_6_0 = e3) & op(e0, e2) = all_6_0 & $i(all_6_0)))
% 200.44/33.16 | | |
% 200.44/33.16 | | | ALPHA: (5504) implies:
% 200.44/33.16 | | | (5505) op(e1, e2) = all_6_1
% 200.44/33.16 | | | (5506) ~ (all_6_1 = e0) | ( ~ (all_6_0 = e3) & op(e0, e2) = all_6_0 &
% 200.44/33.16 | | | $i(all_6_0))
% 200.44/33.16 | | |
% 200.44/33.16 | | | COMBINE_EQS: (341), (5503) imply:
% 200.44/33.16 | | | (5507) all_18_2 = e1
% 200.44/33.16 | | |
% 200.44/33.16 | | | COMBINE_EQS: (354), (5503) imply:
% 200.44/33.16 | | | (5508) all_56_13 = e1
% 200.44/33.16 | | |
% 200.44/33.16 | | | REDUCE: (371), (5503) imply:
% 200.44/33.16 | | | (5509) ~ (all_52_1 = e1)
% 200.44/33.16 | | |
% 200.44/33.16 | | | REDUCE: (374), (5503) imply:
% 200.44/33.16 | | | (5510) ~ (all_52_4 = e1)
% 200.44/33.16 | | |
% 200.44/33.16 | | | REDUCE: (376), (5503) imply:
% 200.44/33.16 | | | (5511) ~ (all_52_6 = e1)
% 200.44/33.16 | | |
% 200.44/33.16 | | | REDUCE: (378), (5503) imply:
% 200.44/33.16 | | | (5512) ~ (all_52_7 = e1)
% 200.44/33.16 | | |
% 200.44/33.16 | | | REDUCE: (380), (5503) imply:
% 200.44/33.16 | | | (5513) ~ (all_52_9 = e1)
% 200.44/33.16 | | |
% 200.44/33.16 | | | REDUCE: (382), (5503) imply:
% 200.44/33.16 | | | (5514) ~ (all_52_13 = e1)
% 200.44/33.16 | | |
% 200.44/33.16 | | | REDUCE: (356), (5503) imply:
% 200.44/33.16 | | | (5515) ~ (e2 = e1)
% 200.44/33.16 | | |
% 200.44/33.16 | | | BETA: splitting (232) gives:
% 200.44/33.16 | | |
% 200.44/33.16 | | | Case 1:
% 200.44/33.16 | | | |
% 200.44/33.16 | | | | (5516) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2,
% 200.44/33.16 | | | | e2) = e1)
% 200.44/33.16 | | | |
% 200.44/33.16 | | | | BETA: splitting (5516) gives:
% 200.44/33.16 | | | |
% 200.44/33.16 | | | | Case 1:
% 200.44/33.16 | | | | |
% 200.44/33.16 | | | | | (5517) all_58_2 = e1 & op(e2, e3) = e1
% 200.44/33.16 | | | | |
% 200.44/33.16 | | | | | ALPHA: (5517) implies:
% 200.44/33.16 | | | | | (5518) op(e2, e3) = e1
% 200.44/33.16 | | | | |
% 200.44/33.16 | | | | | REF_CLOSE: (167), (5509), (5518), (function-axioms) are inconsistent
% 200.44/33.16 | | | | | by sub-proof #470.
% 200.44/33.16 | | | | |
% 200.44/33.16 | | | | Case 2:
% 200.44/33.16 | | | | |
% 200.44/33.16 | | | | | (5519) all_58_3 = e1 & op(e2, e2) = e1
% 200.44/33.16 | | | | |
% 200.44/33.16 | | | | | ALPHA: (5519) implies:
% 200.44/33.16 | | | | | (5520) all_58_3 = e1
% 200.44/33.16 | | | | | (5521) op(e2, e2) = e1
% 200.44/33.16 | | | | |
% 200.44/33.16 | | | | | BETA: splitting (58) gives:
% 200.44/33.16 | | | | |
% 200.44/33.16 | | | | | Case 1:
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | (5522) ~ (all_18_2 = e1)
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | REDUCE: (5507), (5522) imply:
% 200.44/33.16 | | | | | | (5523) $false
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | CLOSE: (5523) is inconsistent.
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | Case 2:
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | (5524) op(e1, e2) = all_18_1 & $i(all_18_1) & ( ~ (all_18_1 = e3)
% 200.44/33.16 | | | | | | | ( ~ (all_18_0 = e0) & op(e3, e2) = all_18_0 &
% 200.44/33.16 | | | | | | $i(all_18_0)))
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | ALPHA: (5524) implies:
% 200.44/33.16 | | | | | | (5525) op(e1, e2) = all_18_1
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, all_6_1,
% 200.44/33.16 | | | | | | e2, e1, simplifying with (162), (5505) gives:
% 200.44/33.16 | | | | | | (5526) all_52_6 = all_6_1
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 200.44/33.16 | | | | | | all_18_1, e2, e1, simplifying with (162), (5525) gives:
% 200.44/33.16 | | | | | | (5527) all_52_6 = all_18_1
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | COMBINE_EQS: (5526), (5527) imply:
% 200.44/33.16 | | | | | | (5528) all_18_1 = all_6_1
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | SIMP: (5528) implies:
% 200.44/33.16 | | | | | | (5529) all_18_1 = all_6_1
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | COMBINE_EQS: (267), (5526) imply:
% 200.44/33.16 | | | | | | (5530) all_54_9 = all_6_1
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | REDUCE: (143), (5526) imply:
% 200.44/33.16 | | | | | | (5531) ~ (all_52_2 = all_6_1)
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | REDUCE: (136), (5526) imply:
% 200.44/33.16 | | | | | | (5532) ~ (all_52_4 = all_6_1)
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | REDUCE: (128), (5526) imply:
% 200.44/33.16 | | | | | | (5533) ~ (all_52_7 = all_6_1)
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | SIMP: (5533) implies:
% 200.44/33.16 | | | | | | (5534) ~ (all_52_7 = all_6_1)
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | REDUCE: (126), (5526) imply:
% 200.44/33.16 | | | | | | (5535) ~ (all_52_14 = all_6_1)
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | SIMP: (5535) implies:
% 200.44/33.16 | | | | | | (5536) ~ (all_52_14 = all_6_1)
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | REDUCE: (383), (5526) imply:
% 200.44/33.16 | | | | | | (5537) ~ (all_6_1 = all_4_2)
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | REDUCE: (5511), (5526) imply:
% 200.44/33.16 | | | | | | (5538) ~ (all_6_1 = e1)
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | BETA: splitting (43) gives:
% 200.44/33.16 | | | | | |
% 200.44/33.16 | | | | | | Case 1:
% 200.44/33.16 | | | | | | |
% 200.44/33.16 | | | | | | | (5539) ~ (all_8_2 = e2)
% 200.44/33.16 | | | | | | |
% 200.44/33.16 | | | | | | | REDUCE: (347), (5539) imply:
% 200.44/33.16 | | | | | | | (5540) ~ (all_4_2 = e2)
% 200.44/33.16 | | | | | | |
% 200.44/33.16 | | | | | | | BETA: splitting (194) gives:
% 200.44/33.16 | | | | | | |
% 200.44/33.16 | | | | | | | Case 1:
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | | (5541) all_54_10 = e3
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | | COMBINE_EQS: (296), (5541) imply:
% 200.44/33.16 | | | | | | | | (5542) all_4_2 = e3
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | | SIMP: (5542) implies:
% 200.44/33.16 | | | | | | | | (5543) all_4_2 = e3
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | | COMBINE_EQS: (319), (5543) imply:
% 200.44/33.16 | | | | | | | | (5544) all_32_2 = e3
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | | COMBINE_EQS: (304), (5543) imply:
% 200.44/33.16 | | | | | | | | (5545) all_50_2 = e3
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | | COMBINE_EQS: (266), (5543) imply:
% 200.44/33.16 | | | | | | | | (5546) all_56_14 = e3
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | | REDUCE: (372), (5543) imply:
% 200.44/33.16 | | | | | | | | (5547) ~ (all_52_2 = e3)
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | | REDUCE: (385), (5543) imply:
% 200.44/33.16 | | | | | | | | (5548) ~ (all_52_8 = e3)
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | | REDUCE: (386), (5543) imply:
% 200.44/33.16 | | | | | | | | (5549) ~ (all_52_9 = e3)
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | | REDUCE: (388), (5543) imply:
% 200.44/33.16 | | | | | | | | (5550) ~ (all_52_11 = e3)
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | | REDUCE: (390), (5543) imply:
% 200.44/33.16 | | | | | | | | (5551) ~ (all_52_14 = e3)
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | | REDUCE: (5537), (5543) imply:
% 200.44/33.16 | | | | | | | | (5552) ~ (all_6_1 = e3)
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | | BETA: splitting (79) gives:
% 200.44/33.16 | | | | | | | |
% 200.44/33.16 | | | | | | | | Case 1:
% 200.44/33.16 | | | | | | | | |
% 200.44/33.16 | | | | | | | | | (5553) ~ (all_32_2 = e3)
% 200.44/33.16 | | | | | | | | |
% 200.44/33.16 | | | | | | | | | REDUCE: (5544), (5553) imply:
% 200.44/33.16 | | | | | | | | | (5554) $false
% 200.44/33.16 | | | | | | | | |
% 200.44/33.16 | | | | | | | | | CLOSE: (5554) is inconsistent.
% 200.44/33.16 | | | | | | | | |
% 200.44/33.16 | | | | | | | | Case 2:
% 200.44/33.16 | | | | | | | | |
% 200.44/33.16 | | | | | | | | | (5555) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~ (all_32_1
% 200.44/33.16 | | | | | | | | | = e0) | ( ~ (all_32_0 = e2) & op(e0, e1) =
% 200.44/33.16 | | | | | | | | | all_32_0 & $i(all_32_0)))
% 200.44/33.16 | | | | | | | | |
% 200.44/33.16 | | | | | | | | | ALPHA: (5555) implies:
% 200.44/33.16 | | | | | | | | | (5556) op(e3, e1) = all_32_1
% 200.44/33.16 | | | | | | | | | (5557) ~ (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 200.44/33.16 | | | | | | | | | e1) = all_32_0 & $i(all_32_0))
% 200.44/33.16 | | | | | | | | |
% 200.44/33.16 | | | | | | | | | BETA: splitting (106) gives:
% 200.44/33.16 | | | | | | | | |
% 200.44/33.16 | | | | | | | | | Case 1:
% 200.44/33.16 | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | (5558) ~ (all_50_2 = e3)
% 200.44/33.16 | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | REDUCE: (5545), (5558) imply:
% 200.44/33.16 | | | | | | | | | | (5559) $false
% 200.44/33.16 | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | CLOSE: (5559) is inconsistent.
% 200.44/33.16 | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | Case 2:
% 200.44/33.16 | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | (5560) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 200.44/33.16 | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 200.44/33.16 | | | | | | | | | | e1) = all_50_0 & $i(all_50_0)))
% 200.44/33.16 | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | ALPHA: (5560) implies:
% 200.44/33.16 | | | | | | | | | | (5561) op(e3, e1) = all_50_1
% 200.44/33.16 | | | | | | | | | | (5562) ~ (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 200.44/33.16 | | | | | | | | | | e1) = all_50_0 & $i(all_50_0))
% 200.44/33.16 | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | BETA: splitting (230) gives:
% 200.44/33.16 | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | Case 1:
% 200.44/33.16 | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | (5563) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 200.44/33.16 | | | | | | | | | | | & op(e2, e1) = e3)
% 200.44/33.16 | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | BETA: splitting (5563) gives:
% 200.44/33.16 | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | Case 1:
% 200.44/33.16 | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | (5564) all_58_4 = e3 & op(e3, e1) = e3
% 200.44/33.16 | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | ALPHA: (5564) implies:
% 200.44/33.16 | | | | | | | | | | | | (5565) op(e3, e1) = e3
% 200.44/33.16 | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | REF_CLOSE: (169), (5548), (5556), (5561), (5565),
% 200.44/33.16 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.16 | | | | | | | | | | | | #1930.
% 200.44/33.16 | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | Case 2:
% 200.44/33.16 | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | (5566) all_58_5 = e3 & op(e2, e1) = e3
% 200.44/33.16 | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | ALPHA: (5566) implies:
% 200.44/33.16 | | | | | | | | | | | | (5567) op(e2, e1) = e3
% 200.44/33.16 | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | | REF_CLOSE: (165), (5549), (5567), (function-axioms) are
% 200.44/33.16 | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 200.44/33.16 | | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | | End of split
% 200.44/33.16 | | | | | | | | | | |
% 200.44/33.16 | | | | | | | | | | Case 2:
% 200.44/33.16 | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | (5568) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 200.44/33.17 | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 200.44/33.17 | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | BETA: splitting (5568) gives:
% 200.44/33.17 | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | (5569) all_58_8 = e3 & op(e1, e1) = e3
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | ALPHA: (5569) implies:
% 200.44/33.17 | | | | | | | | | | | | (5570) all_58_8 = e3
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 200.44/33.17 | | | | | | | | | | | | all_32_1, e1, e3, simplifying with (169), (5556)
% 200.44/33.17 | | | | | | | | | | | | gives:
% 200.44/33.17 | | | | | | | | | | | | (5571) all_52_8 = all_32_1
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 200.44/33.17 | | | | | | | | | | | | all_50_1, e1, e3, simplifying with (169), (5561)
% 200.44/33.17 | | | | | | | | | | | | gives:
% 200.44/33.17 | | | | | | | | | | | | (5572) all_52_8 = all_50_1
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | COMBINE_EQS: (5571), (5572) imply:
% 200.44/33.17 | | | | | | | | | | | | (5573) all_50_1 = all_32_1
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | SIMP: (5573) implies:
% 200.44/33.17 | | | | | | | | | | | | (5574) all_50_1 = all_32_1
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | COMBINE_EQS: (281), (5571) imply:
% 200.44/33.17 | | | | | | | | | | | | (5575) all_54_2 = all_32_1
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | REDUCE: (134), (5571) imply:
% 200.44/33.17 | | | | | | | | | | | | (5576) ~ (all_52_4 = all_32_1)
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | REDUCE: (123), (5571) imply:
% 200.44/33.17 | | | | | | | | | | | | (5577) ~ (all_52_9 = all_32_1)
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | SIMP: (5577) implies:
% 200.44/33.17 | | | | | | | | | | | | (5578) ~ (all_52_9 = all_32_1)
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | REDUCE: (121), (5571) imply:
% 200.44/33.17 | | | | | | | | | | | | (5579) ~ (all_52_11 = all_32_1)
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | SIMP: (5579) implies:
% 200.44/33.17 | | | | | | | | | | | | (5580) ~ (all_52_11 = all_32_1)
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | REDUCE: (120), (5571) imply:
% 200.44/33.17 | | | | | | | | | | | | (5581) ~ (all_52_12 = all_32_1)
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | SIMP: (5581) implies:
% 200.44/33.17 | | | | | | | | | | | | (5582) ~ (all_52_12 = all_32_1)
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | REDUCE: (368), (5571) imply:
% 200.44/33.17 | | | | | | | | | | | | (5583) ~ (all_32_1 = all_14_2)
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | REDUCE: (5548), (5571) imply:
% 200.44/33.17 | | | | | | | | | | | | (5584) ~ (all_32_1 = e3)
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | BETA: splitting (46) gives:
% 200.44/33.17 | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | (5585) ~ (all_10_2 = e3)
% 200.44/33.17 | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | BETA: splitting (52) gives:
% 200.44/33.17 | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | (5586) ~ (all_14_2 = e2)
% 200.44/33.17 | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 200.44/33.17 | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | (5587) ~ (all_28_2 = e1)
% 200.44/33.17 | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | REDUCE: (334), (5587) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | (5588) ~ (all_14_2 = e1)
% 200.44/33.17 | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 200.44/33.17 | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | (5589) all_54_0 = e3
% 200.44/33.17 | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (5589) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | (5590) all_14_2 = e3
% 200.44/33.17 | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | REDUCE: (355), (5590) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | (5591) $false
% 200.44/33.17 | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | CLOSE: (5591) is inconsistent.
% 200.44/33.17 | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | Case 2:
% 200.44/33.17 | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | (5592) ~ (all_54_0 = e3)
% 200.44/33.17 | | | | | | | | | | | | | | | | (5593) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 200.44/33.17 | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | BETA: splitting (5593) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | (5594) all_54_0 = e2
% 200.44/33.17 | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (5594) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | (5595) all_14_2 = e2
% 200.44/33.17 | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | REDUCE: (5586), (5595) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | (5596) $false
% 200.44/33.17 | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | CLOSE: (5596) is inconsistent.
% 200.44/33.17 | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.17 | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | (5597) ~ (all_54_0 = e2)
% 200.44/33.17 | | | | | | | | | | | | | | | | | (5598) all_54_0 = e1 | all_54_0 = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | BETA: splitting (5598) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5599) all_54_0 = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (5599) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5600) all_14_2 = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | REDUCE: (5588), (5600) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5601) $false
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | CLOSE: (5601) is inconsistent.
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5602) all_54_0 = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (5602) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5603) all_14_2 = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (5603) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5604) all_34_2 = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (5603) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5605) all_44_2 = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | REDUCE: (360), (5603) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5606) ~ (all_52_1 = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | REDUCE: (362), (5603) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5607) ~ (all_52_2 = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | REDUCE: (364), (5603) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5608) ~ (all_52_3 = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | REDUCE: (366), (5603) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5609) ~ (all_52_4 = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | REDUCE: (370), (5603) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5610) ~ (all_52_12 = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | REDUCE: (5583), (5603) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5611) ~ (all_32_1 = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | REDUCE: (355), (5603) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5612) ~ (e3 = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | REDUCE: (5586), (5603) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5613) ~ (e2 = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | REDUCE: (5588), (5603) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5614) ~ (e1 = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | REDUCE: (51), (5603) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | (5615) op(e3, e3) = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | (5616) ~ (all_34_2 = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | REDUCE: (5604), (5616) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | (5617) $false
% 200.44/33.17 | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | CLOSE: (5617) is inconsistent.
% 200.44/33.17 | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | (5618) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | (all_34_1 = e2) | ( ~ (all_34_0 = e1) & op(e2,
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | e3) = all_34_0 & $i(all_34_0)))
% 200.44/33.17 | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | ALPHA: (5618) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | (5619) op(e0, e3) = all_34_1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | (5620) ~ (all_44_2 = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (5605), (5620) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | (5621) $false
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | CLOSE: (5621) is inconsistent.
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | (5622) op(e0, e3) = all_44_1 & $i(all_44_1) & ( ~
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | ALPHA: (5622) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | (5623) op(e0, e3) = all_44_1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | (5624) ~ (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0))
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | (5625) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5625) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | (5626) all_58_0 = e0 & op(e3, e3) = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5626) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | (5627) all_58_0 = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | all_34_1, e3, e0, simplifying with (159), (5619)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | (5628) all_52_3 = all_34_1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | all_44_1, e3, e0, simplifying with (159), (5623)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | (5629) all_52_3 = all_44_1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5628), (5629) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | (5630) all_44_1 = all_34_1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5630) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | (5631) all_44_1 = all_34_1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (5628) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | (5632) all_54_12 = all_34_1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (5628) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | (5633) ~ (all_52_1 = all_34_1)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (5628) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | (5634) ~ (all_52_2 = all_34_1)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (5628) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | (5635) ~ (all_34_1 = all_10_2)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5608), (5628) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | (5636) ~ (all_34_1 = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | (5637) ~ (all_30_2 = e2)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (5637) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | (5638) ~ (all_10_2 = e2)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | (5639) all_54_15 = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (5585), (5639) are inconsistent by
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1381.
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | (5640) ~ (all_54_15 = e3)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | (5641) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5641) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5642) all_54_15 = e2
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (5638), (5642) are inconsistent by
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1380.
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5643) ~ (all_54_15 = e2)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5644) all_54_15 = e1 | all_54_15 = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5644) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5645) all_54_15 = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (5645) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5646) all_10_2 = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5646) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5647) all_10_2 = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (5647) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5648) all_56_15 = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5585), (5647) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5649) ~ (e3 = e1)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (5647) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5650) op(e0, e0) = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5651) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5651) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5652) all_58_6 = e1 & op(e1, e3) = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5652) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5653) all_58_6 = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5654) op(e1, e3) = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5655) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5655) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5656) all_58_4 = e1 & op(e3, e1) = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5656) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5657) all_58_4 = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5658) op(e3, e1) = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (5654) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5659) all_52_2 = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1, e1,
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (5556), (5658) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5660) all_32_1 = e1
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5531), (5659) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5661) ~ (all_6_1 = e1)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5582), (5660) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5662) ~ (all_52_12 = e1)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5663) all_54_1 = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (5663) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5664) all_52_4 = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5664) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5665) all_52_4 = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5665) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5666) ~ (all_52_7 = e3)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5666) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5667) ~ (all_52_7 = e3)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5532), (5665) imply:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5668) ~ (all_6_1 = e3)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5669) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5669) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5670) all_58_9 = e3 & op(e3, e0) = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (165),
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (223), (224), (225), (226), (227), (228),
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (242), (244), (246), (5513), (5521),
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548), (5551), (5556), (5561), (5562), (5570),
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5574), (5615), (5653), (5667), (5670),
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #465.
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5671) all_58_10 = e3 & op(e2, e0) = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5671) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5672) all_58_10 = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5673) op(e2, e0) = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5674) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5674) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5675) all_58_0 = e3 & op(e3, e3) = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5675) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5676) op(e3, e3) = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5615), (5676), (function-axioms) are
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5677) all_58_1 = e3 & op(e3, e2) = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5677) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678) all_58_1 = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5679) all_58_15 = e0 & op(e0, e0) = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (5679), (function-axioms) are
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5680) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5680) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5681) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5682) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5683) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5615), (5678), (5683),
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1917.
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5684) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5684) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5685) all_58_4 = e2 & op(e3, e1) = e2
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (165), (227), (228),
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5513), (5556), (5562), (5570), (5574), (5685),
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #466.
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5686) all_58_9 = e2 & op(e3, e0) = e2
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5686) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5687) all_58_9 = e2
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5688) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5688) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5689) all_58_12 = e3 & op(e0, e3) = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5689) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5690) all_58_12 = e3
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5691) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5691) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5692) all_58_2 = e0 & op(e2, e3) = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5692) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5693) all_58_2 = e0
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5694) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5694) gives:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5695) all_58_0 = e2 & op(e3, e3) = e2
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5695) implies:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5696) op(e3, e3) = e2
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (240), (242), (5678),
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5687), (5696), (function-axioms) are inconsistent
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1256.
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5697) all_58_2 = e2 & op(e2, e3) = e2
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5697) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5698) all_58_2 = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5693), (5698) imply:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5699) e2 = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (5615),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678), (5687), (5699), (function-axioms) are
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #464.
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5700) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5653), (5690), (5700) are inconsistent
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1349.
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5701) all_58_3 = e0 & op(e2, e2) = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (242), (5520), (5615), (5657),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678), (5687), (5701), (function-axioms) are
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #463.
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5702) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5702) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5703) all_58_5 = e0 & op(e2, e1) = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5703) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5704) all_58_5 = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5705) op(e2, e1) = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5706) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5706) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5707) all_58_4 = e2 & op(e3, e1) = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5707) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5708) op(e3, e1) = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5556), (5562), (5574), (5705), (5708),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1356.
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5709) all_58_5 = e2 & op(e2, e1) = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5709) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5710) all_58_5 = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5704), (5710) imply:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5711) e2 = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (5615),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678), (5687), (5711), (function-axioms) are
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #464.
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5712) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5712) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5713) all_58_8 = e2 & op(e1, e1) = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5570), (5713) are inconsistent by sub-proof
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1850.
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5714) all_58_14 = e2 & op(e0, e1) = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5714) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5715) all_58_14 = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5716) op(e0, e1) = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5717) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5718) all_58_2 = e2 & op(e2, e3) = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5718) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5719) op(e2, e3) = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5720) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721) all_58_6 = e2 & op(e1, e3) = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5721) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5722) all_58_6 = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5653), (5722) imply:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723) e2 = e1
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5723) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5724) e2 = e1
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5715), (5724) imply:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5725) all_58_14 = e1
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (165), (229), (5556), (5562),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (5574), (5704), (5705), (5725),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #462.
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5726) all_58_7 = e2 & op(e1, e2) = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5726) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5727) all_58_7 = e2
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5681) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728) all_58_12 = e0 & op(e0, e3) = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5728) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5729) op(e0, e3) = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5619), (5636), (5729), (function-axioms) are
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1056.
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5730) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5730) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5731) all_58_13 = e0 & op(e0, e2) = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5731) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5732) all_58_13 = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5733) op(e0, e2) = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5682) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5734) all_58_9 = e0 & op(e3, e0) = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5734) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5735) all_58_9 = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (5615),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678), (5735), (function-axioms) are inconsistent
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1912.
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5736) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5736) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5737) all_58_10 = e0 & op(e2, e0) = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5737) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5738) all_58_10 = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5672), (5738) imply:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5739) e3 = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5739) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740) e3 = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5678), (5740) imply:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5741) all_58_1 = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (223),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (238), (5521), (5551), (5570),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5667), (5727), (5741), (function-axioms) are
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #458.
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742) all_58_11 = e0 & op(e1, e0) = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5742) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5743) all_58_11 = e0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5744) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5745) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5746) op(e0, e2) = all_56_10
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5747) op(e1, e2) = all_56_7
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748) all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3))
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5749) all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5750) all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) =
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 & $i(all_56_6))
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5748) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5751) all_56_13 = e3
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5508), (5751) imply:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5752) e3 = e1
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5752) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5753) e3 = e1
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5678), (5753) imply:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5754) all_58_1 = e1
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (223),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (238), (5521), (5551), (5570),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5667), (5727), (5754), (function-axioms) are
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #456.
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5755) ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5755) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5756) ~ (all_56_3 = e2)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5757) op(e2, e3) = all_56_3
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (158), (243), (5505), (5552), (5615), (5667),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5746), (5747), (5749), (5750), (5756), (5757),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #455.
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (224), (225), (5570),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5648), (5716), (5727), (5743), (5758),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #453.
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5759) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5759) gives:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5760) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5760) implies:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5761) all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0, e2)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (218), (5648), (5650), (5690),
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5715), (5732), (5733), (5761), (function-axioms)
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1332.
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5762) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5763) op(e2, e3) = all_56_3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5764) all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) =
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5765) all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0) =
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 & $i(all_56_5))
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5766) ~ (all_56_14 = e3) | all_56_6 = e1
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5765) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5767) all_56_3 = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5763), (5767) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5768) op(e2, e3) = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5766) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5769) ~ (all_56_14 = e3)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5546), (5769) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5770) $false
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5770) is inconsistent.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5771) all_56_6 = e1
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5764) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5772) all_56_6 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5771), (5772) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5773) e2 = e1
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5773) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5774) e2 = e1
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5687), (5774) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5775) all_58_9 = e1
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (160), (221), (222), (5551),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650), (5743), (5775), (function-axioms) are
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5776) ~ (all_56_6 = e2)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e3,
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (5719), (5768) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5777) e2 = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5727), (5777) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5778) all_58_7 = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (224), (225), (5570),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5743), (5778) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1598.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5779) ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5673), (5779), (function-axioms) are inconsistent
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #452.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5780) all_58_14 = e0 & op(e0, e1) = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5780) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5781) all_58_14 = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5715), (5781) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5782) e2 = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (5615),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678), (5687), (5782), (function-axioms) are
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #464.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5783) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5783) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5784) all_58_8 = e2 & op(e1, e1) = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5570), (5784) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1850.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5785) all_58_11 = e2 & op(e1, e0) = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5785) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5786) all_58_11 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5682) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5787) all_58_9 = e0 & op(e3, e0) = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5787) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5788) all_58_9 = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (5615),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678), (5788), (function-axioms) are inconsistent
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1912.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5789) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5789) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5790) all_58_10 = e0 & op(e2, e0) = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5790) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5791) all_58_10 = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5672), (5791) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1554.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5792) all_58_11 = e0 & op(e1, e0) = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5792) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5793) all_58_11 = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5786), (5793) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5794) e2 = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (5615),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678), (5687), (5794), (function-axioms) are
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #464.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5795) all_58_3 = e2 & op(e2, e2) = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (5795), (function-axioms) are
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5796) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5796) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5797) all_58_5 = e2 & op(e2, e1) = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5797) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5798) all_58_5 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5704), (5798) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5799) e2 = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (5615),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678), (5687), (5799), (function-axioms) are
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #464.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5800) all_58_10 = e2 & op(e2, e0) = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5672), (5800) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1721.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801) all_58_10 = e0 & op(e2, e0) = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5672), (5801) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1585.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5802) all_58_13 = e3 & op(e0, e2) = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5802) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5803) all_58_13 = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5804) op(e0, e2) = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (235), (236), (237),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678), (5803), (5804), (function-axioms) are
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1390.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5805) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (5550), (5650), (5805),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1840.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5806) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5806) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5807) all_58_4 = e3 & op(e3, e1) = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5807) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5808) op(e3, e1) = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5548), (5556), (5561), (5808),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1930.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5809) all_58_9 = e3 & op(e3, e0) = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (165),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (223), (224), (225), (226), (227), (228),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (242), (244), (246), (5513), (5521),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548), (5551), (5556), (5561), (5562), (5570),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5574), (5615), (5653), (5667), (5809),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #465.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5810) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (5551), (5650), (5810),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1872.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5811) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5811) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5812) all_54_1 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (5812) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813) all_52_4 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5813) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5814) all_52_4 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5814) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5815) ~ (all_52_12 = e2)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5815) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5816) ~ (all_52_12 = e2)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5532), (5814) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5817) ~ (all_6_1 = e2)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5817) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5818) ~ (all_6_1 = e2)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5819) all_54_9 = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5530), (5552), (5819) are inconsistent by
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #451.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5820) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5821) all_54_3 = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (5821) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5822) all_52_12 = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5822) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5823) all_52_12 = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (5823) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5824) ~ (all_52_13 = e3)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5824) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5825) ~ (all_52_13 = e3)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5820) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5826) all_54_9 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5530), (5818), (5826) are inconsistent by
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #450.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5827) all_54_9 = e1 | all_54_9 = e0
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5828) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5828) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5829) all_58_6 = e2 & op(e1, e3) = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5829) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5830) all_58_6 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5653), (5830) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1857.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5831) all_58_7 = e2 & op(e1, e2) = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5831) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5832) all_58_7 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5833) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (160),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (219), (222), (223), (224), (225),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (244), (5521), (5549),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5550), (5551), (5570), (5585), (5825), (5833),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #449.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5834) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5834) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5835) all_58_7 = e3 & op(e1, e2) = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5835) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5836) all_58_7 = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5832), (5836) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5837) e3 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (5551), (5570), (5832), (5837),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #460.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5838) all_58_13 = e3 & op(e0, e2) = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5838) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5839) op(e0, e2) = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5506), (5530), (5538), (5827), (5839),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #447.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5840) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5840) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5841) all_58_8 = e2 & op(e1, e1) = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5570), (5841) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1850.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5842) all_58_11 = e2 & op(e1, e0) = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5842) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5843) all_58_11 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5844) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5844) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5845) all_58_9 = e3 & op(e3, e0) = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5845) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5846) all_58_9 = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5847) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (160),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (219), (222), (223), (224), (225),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (244), (5521), (5549),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5550), (5551), (5570), (5585), (5825), (5847),
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #449.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5848) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5848) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5849) all_58_7 = e3 & op(e1, e2) = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5849) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5850) all_58_7 = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5851) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5851) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5852) all_58_2 = e3 & op(e2, e3) = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5852) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5853) all_58_2 = e3
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5854) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5854) gives:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5855) all_58_0 = e2 & op(e3, e3) = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5855) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5856) op(e3, e3) = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5615), (5856), (function-axioms) are
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5857) all_58_2 = e2 & op(e2, e3) = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5857) implies:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5858) all_58_2 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5853), (5858) imply:
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5859) e3 = e2
% 200.44/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (5551), (5570), (5850), (5859),
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #446.
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5860) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5860) gives:
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5861) all_58_6 = e2 & op(e1, e3) = e2
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5861) implies:
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5862) all_58_6 = e2
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5653), (5862) imply:
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5863) e2 = e1
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5863) implies:
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5864) e2 = e1
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5843), (5864) imply:
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5865) all_58_11 = e1
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (216),
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (358), (5650), (5825), (5865),
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #660.
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5866) all_58_12 = e2 & op(e0, e3) = e2
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5866) implies:
% 200.75/33.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5867) all_58_12 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5868) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5868) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5869) all_58_0 = e2 & op(e3, e3) = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5869) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5870) op(e3, e3) = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (165), (169), (216), (217), (218), (219),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (228), (229),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (239),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (245), (246), (355), (358),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548), (5549), (5550), (5551), (5556), (5561),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (5585), (5867), (5870), (function-axioms)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1251.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5871) all_58_1 = e2 & op(e3, e2) = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5871) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5872) all_58_1 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (169), (223),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (242), (244), (246), (5548),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5551), (5556), (5561), (5570), (5615), (5653),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5846), (5850), (5872), (function-axioms) are
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #468.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5873) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5873) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5874) all_58_4 = e2 & op(e3, e1) = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (165), (227), (228),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5513), (5556), (5562), (5570), (5574), (5874),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #466.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5875) all_58_9 = e2 & op(e3, e0) = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5875) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5876) all_58_9 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5846), (5876) imply:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5877) e3 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (5551), (5570), (5850), (5877),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #446.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5878) all_58_3 = e3 & op(e2, e2) = e3
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5878) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5879) op(e2, e2) = e3
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5521), (5879), (function-axioms) are
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5880) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (5549), (5825), (5880),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1399.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5881) all_58_13 = e3 & op(e0, e2) = e3
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5881) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5882) op(e0, e2) = e3
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5506), (5530), (5538), (5827), (5882),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #447.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5883) all_58_10 = e3 & op(e2, e0) = e3
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5883) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5884) op(e2, e0) = e3
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5825), (5884), (function-axioms) are
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5885) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (5551), (5650), (5885),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1872.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5886) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (5610), (5662), (5816), (5886) are
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1698.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5887) all_54_1 = e1 | all_54_1 = e0
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (5510), (5609), (5887) are inconsistent by
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1776.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5888) all_58_5 = e1 & op(e2, e1) = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5888) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5889) op(e2, e1) = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5513), (5889), (function-axioms) are
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5890) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5890) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5891) all_58_8 = e1 & op(e1, e1) = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5570), (5891) are inconsistent by sub-proof
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1894.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5892) all_58_14 = e1 & op(e0, e1) = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5892) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5893) all_58_14 = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5894) all_58_15 = e0 & op(e0, e0) = e0
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (5894), (function-axioms) are
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5895) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5895) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5896) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5896) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5897) all_58_12 = e0 & op(e0, e3) = e0
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5897) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5898) op(e0, e3) = e0
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5619), (5636), (5898), (function-axioms) are
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1056.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5899) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5899) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5900) all_58_13 = e0 & op(e0, e2) = e0
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5900) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5901) all_58_13 = e0
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5902) op(e0, e2) = e0
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5903) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5903) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5904) all_58_12 = e3 & op(e0, e3) = e3
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5904) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5905) all_58_12 = e3
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (218), (5650), (5893), (5901),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5905), (function-axioms) are inconsistent by
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1369.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5906) all_58_13 = e3 & op(e0, e2) = e3
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5906) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5907) op(e0, e2) = e3
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5902), (5907), (function-axioms) are
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1584.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5908) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (5550), (5650), (5908),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1840.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5909) all_58_14 = e0 & op(e0, e1) = e0
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5893), (5909) are inconsistent by sub-proof
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1428.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5910) all_58_7 = e1 & op(e1, e2) = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5910) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5911) op(e1, e2) = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5511), (5911), (function-axioms) are
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5912) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5912) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5913) all_58_8 = e1 & op(e1, e1) = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5570), (5913) are inconsistent by sub-proof
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1894.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5914) all_58_11 = e1 & op(e1, e0) = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5914) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5915) all_58_11 = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5916) all_58_15 = e0 & op(e0, e0) = e0
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (5916), (function-axioms) are
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5917) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5917) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5918) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (167), (169), (216), (219), (221), (222),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (235), (236), (237), (239),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (245), (246), (355),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5509), (5547), (5548), (5550), (5556),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561), (5570), (5615), (5650), (5915), (5918),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #439.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (5919) all_54_15 = e0
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (358), (5919) are inconsistent by sub-proof
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | #1323.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | (5920) all_30_2 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | (5921) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0)))
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5921) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | (5922) op(e2, e0) = all_30_1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (5920) imply:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | (5923) all_10_2 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5923) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | (5924) all_10_2 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (5924) imply:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | (5925) all_42_2 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (5924) imply:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | (5926) ~ (all_52_13 = e2)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (5924) imply:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | (5927) ~ (all_52_14 = e2)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5635), (5924) imply:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | (5928) ~ (all_34_1 = e2)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5585), (5924) imply:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | (5929) ~ (e3 = e2)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (5924) imply:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | (5930) op(e0, e0) = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | (5931) ~ (all_42_2 = e2)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5925), (5931) imply:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | (5932) $false
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5932) is inconsistent.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | (5933) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5933) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | (5934) op(e2, e0) = all_42_1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | (5935) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5935) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (5936) all_58_12 = e2 & op(e0, e3) = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5936) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (5937) all_58_12 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5938) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5938) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5939) all_58_12 = e1 & op(e0, e3) = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5939) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5940) all_58_12 = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (94),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (149), (157), (160), (162), (163), (164),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (192), (196), (200), (216),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (221), (222), (223), (224),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (231), (232),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (238), (239), (241), (242),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (268), (279), (356),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5509), (5511), (5513), (5514), (5521),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (5548), (5549), (5550), (5551), (5556),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561), (5562), (5570), (5574), (5585), (5606),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5607), (5611), (5615), (5624), (5627), (5631),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632), (5633), (5634), (5636), (5922), (5925),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926), (5927), (5928), (5930), (5940),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #426.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5941) all_58_13 = e1 & op(e0, e2) = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5941) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5942) all_58_13 = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5943) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (5509), (5615), (5943),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #444.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5944) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5944) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5945) all_58_6 = e1 & op(e1, e3) = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5945) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5946) all_58_6 = e1
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5947) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5947) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5948) all_58_4 = e2 & op(e3, e1) = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (165), (227), (228),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5513), (5556), (5562), (5570), (5574), (5948),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #466.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5949) all_58_5 = e2 & op(e2, e1) = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5949) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5950) all_58_5 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5951) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5951) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5952) all_58_0 = e2 & op(e3, e3) = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5952) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5953) op(e3, e3) = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (165), (169), (216), (217), (218), (219),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (228), (229),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (239),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (245), (246), (355), (358),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548), (5549), (5550), (5551), (5556), (5561),
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (5585), (5937), (5953), (function-axioms)
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1251.
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5954) all_58_1 = e2 & op(e3, e2) = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5954) implies:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5955) all_58_1 = e2
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5956) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5956) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5957) all_58_6 = e2 & op(e1, e3) = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5957) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5958) all_58_6 = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (94),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (149), (157), (160), (162), (163), (164),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (192), (196), (200), (216),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (221), (222), (223), (224),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (231), (232),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (238), (239), (241), (242),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (268), (279), (356),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5509), (5511), (5513), (5514), (5521),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (5548), (5549), (5550), (5551), (5556),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561), (5562), (5570), (5574), (5585), (5606),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5607), (5611), (5615), (5624), (5627), (5631),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632), (5633), (5634), (5636), (5922), (5925),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926), (5927), (5928), (5930), (5958),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #425.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5959) all_58_7 = e2 & op(e1, e2) = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5959) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5960) all_58_7 = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (235), (238), (5942),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5955), (5960) are inconsistent by sub-proof #636.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5961) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (160), (227),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (5550), (5927), (5950), (5961),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #424.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5962) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5962) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5963) all_58_4 = e2 & op(e3, e1) = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (165), (227), (228),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5513), (5556), (5562), (5570), (5574), (5963),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #466.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5964) all_58_9 = e2 & op(e3, e0) = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5964) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5965) all_58_9 = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5966) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5966) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5967) all_58_6 = e2 & op(e1, e3) = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5967) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5968) all_58_6 = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (94),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (149), (157), (160), (162), (163), (164),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (192), (196), (200), (216),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (221), (222), (223), (224),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (231), (232),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (238), (239), (241), (242),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (268), (279), (356),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5509), (5511), (5513), (5514), (5521),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (5548), (5549), (5550), (5551), (5556),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561), (5562), (5570), (5574), (5585), (5606),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5607), (5611), (5615), (5624), (5627), (5631),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632), (5633), (5634), (5636), (5922), (5925),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926), (5927), (5928), (5930), (5968),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #425.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5969) all_58_7 = e2 & op(e1, e2) = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5969) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5970) all_58_7 = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5971) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5971) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5972) all_58_9 = e1 & op(e3, e0) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5972) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5973) all_58_9 = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5965), (5973) imply:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5974) e2 = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5937), (5974) imply:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5975) all_58_12 = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (163), (216),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (231), (232), (233), (245), (358),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (5585), (5615), (5930), (5965), (5975),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #435.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5976) all_58_10 = e1 & op(e2, e0) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5514), (5976), (function-axioms) are
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #430.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5977) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5977) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5978) all_58_11 = e1 & op(e1, e0) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5978) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5979) all_58_11 = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (5946), (5970), (5979) are inconsistent by
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #443.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5980) all_58_15 = e1 & op(e0, e0) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5980) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5981) op(e0, e0) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (216),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (358), (5550), (5942), (5981),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1118.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5982) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (160), (227),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (5550), (5927), (5950), (5982),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #424.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5983) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5983) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5984) all_58_8 = e2 & op(e1, e1) = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5984) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5985) all_58_8 = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5570), (5985) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1897.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5986) all_58_14 = e2 & op(e0, e1) = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5986) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5987) all_58_14 = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (94),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (149), (157), (160), (162), (163), (164),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (192), (196), (200), (216),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (221), (222), (223), (224),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (231), (232),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (238), (239), (241), (242),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (268), (279), (356),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5509), (5511), (5513), (5514), (5521),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (5548), (5549), (5550), (5551), (5556),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561), (5562), (5570), (5574), (5606), (5607),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5611), (5615), (5619), (5624), (5627), (5631),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632), (5633), (5634), (5636), (5922), (5925),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926), (5927), (5928), (5942), (5987),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #423.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5988) all_58_12 = e1 & op(e0, e3) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5988) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5989) all_58_12 = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (94),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (149), (157), (160), (162), (163), (164),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (192), (196), (200), (216),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (221), (222), (223), (224),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (231), (232),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (238), (239), (241), (242),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (268), (279), (356),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5509), (5511), (5513), (5514), (5521),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (5548), (5549), (5550), (5551), (5556),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561), (5562), (5570), (5574), (5585), (5606),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5607), (5611), (5615), (5624), (5627), (5631),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632), (5633), (5634), (5636), (5922), (5925),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926), (5927), (5928), (5930), (5989),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #426.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5990) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5990) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5991) all_58_14 = e1 & op(e0, e1) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5991) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5992) all_58_14 = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (165), (227), (229),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5556), (5562), (5570), (5574), (5611), (5992),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #422.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5993) all_58_15 = e1 & op(e0, e0) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5993) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5994) op(e0, e0) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5930), (5994), (function-axioms) are
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (5995) all_58_13 = e2 & op(e0, e2) = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5995) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (5996) all_58_13 = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5997) all_58_15 = e0 & op(e0, e0) = e0
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (5997), (function-axioms) are
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5998) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5998) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5999) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6000) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6001) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6001) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6002) all_58_1 = e3 & op(e3, e2) = e3
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6002) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6003) all_58_1 = e3
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6004) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6004) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6005) all_58_9 = e2 & op(e3, e0) = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6005) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6006) all_58_9 = e2
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6007) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6007) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6008) all_58_9 = e3 & op(e3, e0) = e3
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6008) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6009) all_58_9 = e3
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6006), (6009) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1865.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6010) all_58_10 = e3 & op(e2, e0) = e3
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6010) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6011) all_58_10 = e3
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6012) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (5615), (6003), (6012),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1920.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6013) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6013) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6014) all_58_4 = e1 & op(e3, e1) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6014) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6015) all_58_4 = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5999) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6016) all_58_12 = e0 & op(e0, e3) = e0
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6016) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6017) op(e0, e3) = e0
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5619), (5636), (6017), (function-axioms) are
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1056.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6018) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6018) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6019) all_58_13 = e0 & op(e0, e2) = e0
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (5615),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5996), (6003), (6006), (6019), (function-axioms)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #421.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6020) all_58_14 = e0 & op(e0, e1) = e0
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6020) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6021) all_58_14 = e0
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6022) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6022) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6023) all_58_9 = e1 & op(e3, e0) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6023) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6024) all_58_9 = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6006), (6024) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1877.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6025) all_58_10 = e1 & op(e2, e0) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5514), (6025), (function-axioms) are
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #430.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6026) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6026) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6027) all_58_11 = e1 & op(e1, e0) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6027) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6028) all_58_11 = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6029) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6029) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6030) all_58_12 = e1 & op(e0, e3) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6030) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6031) all_58_12 = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (231), (232),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (245), (5547), (5615), (6011), (6031),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #437.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6032) all_58_13 = e1 & op(e0, e2) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6032) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6033) all_58_13 = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5996), (6033) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1671.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6034) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6034) gives:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6035) all_58_14 = e1 & op(e0, e1) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (228), (229), (5570),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6015), (6021), (6035) are inconsistent by
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1692.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6036) all_58_15 = e1 & op(e0, e0) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6036) implies:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6037) op(e0, e0) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (167), (169), (216), (219), (221), (222),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (235), (236), (237), (239),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (245), (246), (355),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5509), (5547), (5548), (5550), (5556),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561), (5570), (5615), (6000), (6028), (6037),
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #439.
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6038) all_58_15 = e1 & op(e0, e0) = e1
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6038) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6039) op(e0, e0) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5930), (6039), (function-axioms) are
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6040) all_58_9 = e1 & op(e3, e0) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6040) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6041) all_58_9 = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6006), (6041) are inconsistent by sub-proof
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1877.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6042) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (45), (220), (5585),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5930), (6000), (6006), (6042), (function-axioms)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #436.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6043) all_58_10 = e2 & op(e2, e0) = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6043) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6044) op(e2, e0) = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (164), (5922), (5925), (5926), (6044),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1424.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6045) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (45), (94), (146),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (160), (162), (163), (164), (165),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (169), (192), (196), (200), (216), (217),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (231), (232), (233),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (238), (239), (241), (242), (243),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (268), (279), (356), (358),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5509), (5511), (5513), (5514), (5521), (5547),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548), (5549), (5550), (5551), (5556), (5561),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5562), (5570), (5574), (5606), (5607), (5611),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5615), (5624), (5627), (5631), (5632), (5633),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5634), (5636), (5922), (5925), (5926), (5927),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5928), (6045), (function-axioms) are inconsistent
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #427.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6046) all_58_3 = e3 & op(e2, e2) = e3
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6046) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6047) op(e2, e2) = e3
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5521), (6047), (function-axioms) are
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6048) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6048) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6049) all_58_7 = e3 & op(e1, e2) = e3
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6049) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6050) all_58_7 = e3
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6051) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6051) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6052) all_58_6 = e2 & op(e1, e3) = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6052) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6053) all_58_6 = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (94),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (149), (157), (160), (162), (163), (164),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (192), (196), (200), (216),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (221), (222), (223), (224),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (231), (232),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (238), (239), (241), (242),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (268), (279), (356),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5509), (5511), (5513), (5514), (5521),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (5548), (5549), (5550), (5551), (5556),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561), (5562), (5570), (5574), (5585), (5606),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5607), (5611), (5615), (5624), (5627), (5631),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632), (5633), (5634), (5636), (5922), (5925),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926), (5927), (5928), (5930), (6053),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #425.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6054) all_58_7 = e2 & op(e1, e2) = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6054) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6055) all_58_7 = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6050), (6055) imply:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6056) e3 = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (5551), (5570), (6050), (6056),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #446.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6057) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6057) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6058) all_58_8 = e2 & op(e1, e1) = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6058) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6059) all_58_8 = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5570), (6059) imply:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6060) e3 = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (5551), (5570), (6050), (6060),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #446.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6061) all_58_11 = e2 & op(e1, e0) = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6061) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6062) op(e1, e0) = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5927), (6062), (function-axioms) are
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #954.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6063) all_58_13 = e3 & op(e0, e2) = e3
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6063) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6064) all_58_13 = e3
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5996), (6064) are inconsistent by sub-proof
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1825.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | (6065) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6065) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (6066) all_58_14 = e2 & op(e0, e1) = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6066) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (6067) all_58_14 = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6068) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6068) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6069) all_58_12 = e1 & op(e0, e3) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6069) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6070) all_58_12 = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (94),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (149), (157), (160), (162), (163), (164),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (192), (196), (200), (216),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (221), (222), (223), (224),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (231), (232),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (238), (239), (241), (242),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (268), (279), (356),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5509), (5511), (5513), (5514), (5521),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (5548), (5549), (5550), (5551), (5556),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561), (5562), (5570), (5574), (5585), (5606),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5607), (5611), (5615), (5624), (5627), (5631),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632), (5633), (5634), (5636), (5922), (5925),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926), (5927), (5928), (5930), (6070),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #426.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6071) all_58_13 = e1 & op(e0, e2) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6071) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6072) all_58_13 = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (94),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (149), (157), (160), (162), (163), (164),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (192), (196), (200), (216),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (221), (222), (223), (224),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (231), (232),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (238), (239), (241), (242),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (268), (279), (356),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5509), (5511), (5513), (5514), (5521),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (5548), (5549), (5550), (5551), (5556),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561), (5562), (5570), (5574), (5606), (5607),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5611), (5615), (5619), (5624), (5627), (5631),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632), (5633), (5634), (5636), (5922), (5925),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926), (5927), (5928), (6067), (6072),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #423.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6073) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5930), (6067), (6073), (function-axioms) are
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1275.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (6074) all_58_15 = e2 & op(e0, e0) = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6074) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (6075) all_58_15 = e2
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (5922)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (6076) all_52_13 = all_30_1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (5934)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (6077) all_52_13 = all_42_1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6076), (6077) imply:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (6078) all_42_1 = all_30_1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6078) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (6079) all_42_1 = all_30_1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (45), (94), (146),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (160), (162), (163), (164), (165),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (169), (192), (196), (200), (216), (217),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (231), (232), (233),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (238), (239), (241), (242), (243),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (268), (279), (356), (358),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5509), (5511), (5513), (5514), (5521), (5547),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5548), (5549), (5550), (5551), (5556), (5561),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5562), (5570), (5574), (5606), (5607), (5611),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5615), (5624), (5627), (5631), (5632), (5633),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5634), (5636), (5922), (5925), (5926), (5927),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5928), (5930), (6075), (function-axioms) are
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #428.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | (6080) all_58_1 = e0 & op(e3, e2) = e0
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6080) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | (6081) all_58_1 = e0
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | (6082) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5615), (6081), (6082), (function-axioms) are
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #420.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | (6083) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6083) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | (6084) all_58_4 = e3 & op(e3, e1) = e3
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6084) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | (6085) op(e3, e1) = e3
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5548), (5556), (5561), (6085),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | #1930.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | (6086) all_58_9 = e3 & op(e3, e0) = e3
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6086) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | (6087) all_58_9 = e3
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (5615),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | (6081), (6087), (function-axioms) are inconsistent
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1375.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | (6088) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (242), (244),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | (246), (5548), (5556), (5561), (5611), (5615),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | (6088), (function-axioms) are inconsistent by
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | | sub-proof #1316.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | (6089) all_28_2 = e1
% 200.75/33.22 | | | | | | | | | | | | | | | (6090) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 200.75/33.22 | | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 200.75/33.22 | | | | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0)))
% 200.75/33.22 | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | ALPHA: (6090) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | (6091) op(e1, e3) = all_28_1
% 200.75/33.22 | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | COMBINE_EQS: (334), (6089) imply:
% 200.75/33.22 | | | | | | | | | | | | | | | (6092) all_14_2 = e1
% 200.75/33.22 | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | COMBINE_EQS: (323), (6092) imply:
% 200.75/33.22 | | | | | | | | | | | | | | | (6093) all_36_2 = e1
% 200.75/33.22 | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | COMBINE_EQS: (290), (6092) imply:
% 200.75/33.22 | | | | | | | | | | | | | | | (6094) all_56_12 = e1
% 200.75/33.22 | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | REDUCE: (362), (6092) imply:
% 200.75/33.22 | | | | | | | | | | | | | | | (6095) ~ (all_52_2 = e1)
% 200.75/33.22 | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | REDUCE: (5583), (6092) imply:
% 200.75/33.22 | | | | | | | | | | | | | | | (6096) ~ (all_32_1 = e1)
% 200.75/33.22 | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | REDUCE: (355), (6092) imply:
% 200.75/33.22 | | | | | | | | | | | | | | | (6097) ~ (e3 = e1)
% 200.75/33.22 | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | REDUCE: (51), (6092) imply:
% 200.75/33.22 | | | | | | | | | | | | | | | (6098) op(e3, e3) = e1
% 200.75/33.22 | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 200.75/33.22 | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | (6099) ~ (all_36_2 = e1)
% 200.75/33.22 | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | REDUCE: (6093), (6099) imply:
% 200.75/33.22 | | | | | | | | | | | | | | | | (6100) $false
% 200.75/33.22 | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | CLOSE: (6100) is inconsistent.
% 200.75/33.22 | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | (6101) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 200.75/33.22 | | | | | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 200.75/33.22 | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 200.75/33.22 | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | ALPHA: (6101) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | (6102) op(e1, e3) = all_36_1
% 200.75/33.22 | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | (6103) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 200.75/33.22 | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | BETA: splitting (6103) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | (6104) all_58_4 = e1 & op(e3, e1) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | ALPHA: (6104) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | (6105) op(e3, e1) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1, e1,
% 200.75/33.22 | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (5556), (6105) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | (6106) all_32_1 = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | REDUCE: (6096), (6106) imply:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | (6107) $false
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | CLOSE: (6107) is inconsistent.
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | (6108) all_58_5 = e1 & op(e2, e1) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | ALPHA: (6108) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | (6109) op(e2, e1) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5513), (6109), (function-axioms) are
% 200.75/33.22 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | (6110) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 200.75/33.22 | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 200.75/33.22 | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | BETA: splitting (6110) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | (6111) all_58_8 = e1 & op(e1, e1) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5570), (6111) are inconsistent by sub-proof
% 200.75/33.22 | | | | | | | | | | | | | | | | | | #1894.
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | (6112) all_58_14 = e1 & op(e0, e1) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | ALPHA: (6112) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | (6113) all_58_14 = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | (6114) op(e0, e1) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | (6115) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 200.75/33.22 | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (6115) gives:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | (6116) all_58_6 = e1 & op(e1, e3) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | ALPHA: (6116) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | (6117) op(e1, e3) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6091), (6095), (6102), (6117),
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | #419.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | (6118) all_58_7 = e1 & op(e1, e2) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | ALPHA: (6118) implies:
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | (6119) op(e1, e2) = e1
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5511), (6119), (function-axioms) are
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.22 | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.22 | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | (6120) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (6120) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6121) all_58_8 = e1 & op(e1, e1) = e1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5570), (6121) are inconsistent by sub-proof
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | #1888.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6122) all_58_11 = e1 & op(e1, e0) = e1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | ALPHA: (6122) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6123) all_58_11 = e1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6124) op(e1, e0) = e1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (6114) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6125) all_52_11 = e1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (6124) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6126) all_52_14 = e1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | all_28_1, e3, e1, simplifying with (163), (6091)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6127) all_52_2 = all_28_1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | all_36_1, e3, e1, simplifying with (163), (6102)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6128) all_52_2 = all_36_1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6127), (6128) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6129) all_36_1 = all_28_1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (6095), (6127) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6130) ~ (all_28_1 = e1)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (5580), (6125) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6131) ~ (all_32_1 = e1)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (6126) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6132) ~ (all_52_12 = e1)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (6126) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6133) ~ (all_10_2 = e1)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | SIMP: (6133) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6134) ~ (all_10_2 = e1)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (6126) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | (6135) ~ (all_6_1 = e1)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | (6136) all_54_15 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (5585), (6136) are inconsistent by
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | sub-proof #1381.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | (6137) ~ (all_54_15 = e3)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | (6138) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6138) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | (6139) all_54_15 = e2
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (6139) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | (6140) all_10_2 = e2
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6140) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | (6141) all_10_2 = e2
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (6141) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | (6142) all_30_2 = e2
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (6141) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | (6143) all_42_2 = e2
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (6141) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | (6144) all_56_15 = e2
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (6141) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | (6145) ~ (all_52_12 = e2)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (6141) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | (6146) ~ (all_52_13 = e2)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | (6147) ~ (all_30_2 = e2)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6142), (6147) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | (6148) $false
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6148) is inconsistent.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | (6149) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0)))
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6149) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | (6150) op(e2, e0) = all_30_1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | (6151) ~ (all_42_2 = e2)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6143), (6151) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | (6152) $false
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6152) is inconsistent.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (6150)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | (6153) all_52_13 = all_30_1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6153) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | (6154) all_54_7 = all_30_1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (6153) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | (6155) ~ (all_52_1 = all_30_1)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (6153) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | (6156) ~ (all_52_9 = all_30_1)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (6153) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | (6157) ~ (all_52_12 = all_30_1)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6146), (6153) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | (6158) ~ (all_30_1 = e2)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5514), (6153) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | (6159) ~ (all_30_1 = e1)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | (6160) all_54_2 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5575), (5584), (6160) are inconsistent by
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1879.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | (6161) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (6162) all_54_9 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5530), (6162) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (6163) all_6_1 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5552), (6163) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (6164) $false
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6164) is inconsistent.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (6165) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6166) all_54_6 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (5549), (6166) are inconsistent by
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1881.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6167) ~ (all_54_6 = e3)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6168) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6169) all_54_7 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6154), (6169) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6170) all_30_1 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6170) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6171) all_30_1 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6157), (6171) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6172) ~ (all_52_12 = e3)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6173) all_54_3 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (6172), (6173) are inconsistent by
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1878.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6174) ~ (all_54_3 = e3)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6175) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6175) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6176) all_54_3 = e2
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (6145), (6176) are inconsistent by
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1699.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6177) ~ (all_54_3 = e2)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6178) all_54_3 = e1 | all_54_3 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6178) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6179) all_54_3 = e1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (6132), (6179) are inconsistent by
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1714.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6180) all_54_3 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (6180) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6181) all_52_12 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6181) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6182) all_52_12 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5582), (6182) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6183) ~ (all_32_1 = e0)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6183) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6184) ~ (all_32_1 = e0)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6172), (6182) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6185) ~ (e3 = e0)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6145), (6182) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6186) ~ (e2 = e0)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6132), (6182) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6187) ~ (e1 = e0)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (165), (227), (229),
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5556), (5562), (5570), (5574), (6113), (6184),
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #422.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6188) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6188) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6189) all_54_7 = e2
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6154), (6158), (6189) are inconsistent by
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1684.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6190) all_54_7 = e1 | all_54_7 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6191) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6191) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6192) all_58_2 = e3 & op(e2, e3) = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6192) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193) all_58_2 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6190) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6194) all_54_7 = e1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6154), (6159), (6194) are inconsistent by
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #778.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6195) all_54_7 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6154), (6195) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6196) all_30_1 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6196) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6197) all_30_1 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6155), (6197) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198) ~ (all_52_1 = e0)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6156), (6197) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6199) ~ (all_52_9 = e0)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6157), (6197) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6200) ~ (all_52_12 = e0)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6159), (6197) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201) ~ (e1 = e0)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6168) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6202) all_54_6 = e2
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (6202) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6203) all_52_9 = e2
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6203) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6204) ~ (all_52_1 = e2)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5578), (6203) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6205) ~ (all_32_1 = e2)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6205) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6206) ~ (all_32_1 = e2)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6207) all_54_4 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (6207) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6208) all_52_1 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6208) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6209) all_52_1 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (6209) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6210) ~ (all_52_3 = e3)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6210) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6211) ~ (all_52_3 = e3)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6212) all_54_3 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (6212) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6213) all_52_12 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6213) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6214) all_52_12 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6214) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6215) ~ (all_52_4 = e3)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5582), (6214) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6216) ~ (all_32_1 = e3)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (6214) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6217) op(e3, e0) = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6218) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6218) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6219) all_58_1 = e3 & op(e3, e2) = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6219) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6220) all_58_1 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6221) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6221) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6222) all_58_9 = e3 & op(e3, e0) = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6222) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6223) all_58_9 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (240), (244), (6098),
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6220), (6223), (function-axioms) are inconsistent
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1407.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6224) all_58_10 = e3 & op(e2, e0) = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6224) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6225) all_58_10 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (232), (233),
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193), (6225) are inconsistent by sub-proof #876.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6226) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (5551), (5585), (6226),
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6227) all_58_3 = e3 & op(e2, e2) = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6227) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6228) op(e2, e2) = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5521), (6228), (function-axioms) are
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6229) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6229) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6230) all_58_7 = e3 & op(e1, e2) = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6230) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6231) all_58_7 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6232) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6232) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6233) all_58_6 = e0 & op(e1, e3) = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6233) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6234) all_58_6 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (225), (5570), (6123), (6231),
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6234) are inconsistent by sub-proof #1620.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6235) all_58_7 = e0 & op(e1, e2) = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6235) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6236) all_58_7 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6231), (6236) are inconsistent by sub-proof
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1631.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6237) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6237) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6238) all_58_8 = e0 & op(e1, e1) = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5570), (6238) are inconsistent by sub-proof
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1902.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6239) all_58_11 = e0 & op(e1, e0) = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6239) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6240) all_58_11 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6123), (6240) are inconsistent by sub-proof
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1847.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6241) all_58_13 = e3 & op(e0, e2) = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6241) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6242) op(e0, e2) = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6161) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6243) all_54_2 = e2
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5575), (6206), (6243) are inconsistent by
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1787.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6244) all_54_2 = e1 | all_54_2 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6244) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6245) all_54_2 = e1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5575), (6096), (6245) are inconsistent by
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1701.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6246) all_54_2 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5575), (6246) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6247) all_32_1 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6247) implies:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6248) all_32_1 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5576), (6248) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6249) ~ (all_52_4 = e0)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5584), (6248) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6250) ~ (e3 = e0)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5556), (6248) imply:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6251) op(e3, e1) = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6252) all_54_1 = e3
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (6215), (6252) are inconsistent by
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1709.
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253) ~ (all_54_1 = e3)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6254) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6255) gives:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6256) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6144), (6242), (6256), (function-axioms) are
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #418.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6257) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6257) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6258) op(e3, e1) = all_56_1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6259) ~ (all_56_12 = e1) | all_56_1 = e3
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5548), (5556), (5561), (6094), (6258),
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6259), (function-axioms) are inconsistent by
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1426.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6260) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6260) gives:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6261) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6261) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6262) op(e3, e0) = all_56_2
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263) all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1) =
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_1 & $i(all_56_1))
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6263) gives:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264) all_56_2 = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6262), (6264) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6265) op(e3, e0) = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6254) gives:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6266) all_54_1 = e2
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (6266) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6267) all_52_4 = e2
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6267) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6268) all_52_4 = e2
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5532), (6268) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6269) ~ (all_6_1 = e2)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6269) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6270) ~ (all_6_1 = e2)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5506), (5530), (5538), (6165), (6242), (6270),
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #417.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271) all_54_1 = e1 | all_54_1 = e0
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (159), (163), (245), (282), (355), (5547),
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193), (6211), (6215), (6217), (6249), (6265),
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271), (function-axioms) are inconsistent by
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #601.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6272) ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6272) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6273) ~ (all_56_1 = e0)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6274) op(e3, e1) = all_56_1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6251), (6273), (6274), (function-axioms) are
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1071.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6275) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6275) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6276) op(e1, e3) = all_56_6
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6277) ~ (all_56_14 = e3) | all_56_6 = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5546), (6091), (6130), (6276), (6277),
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1465.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6278) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (6132), (6145), (6200), (6278) are
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1698.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6279) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (5509), (6198), (6204), (6279) are
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6280) all_54_6 = e1 | all_54_6 = e0
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (270), (5513), (5556), (5562), (5574),
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5575), (5578), (6096), (6161), (6280),
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1293.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6281) all_58_3 = e3 & op(e2, e2) = e3
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6281) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6282) op(e2, e2) = e3
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5521), (6282), (function-axioms) are
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6283) gives:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6284) all_58_5 = e3 & op(e2, e1) = e3
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6284) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6285) op(e2, e1) = e3
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5549), (6285), (function-axioms) are
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6286) all_58_10 = e3 & op(e2, e0) = e3
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6286) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6287) op(e2, e0) = e3
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6190) gives:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288) all_54_7 = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6154), (6159), (6288) are inconsistent by
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #778.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6289) all_54_7 = e0
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6154), (6289) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6290) all_30_1 = e0
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6290) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6291) all_30_1 = e0
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6157), (6291) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6292) ~ (all_52_12 = e0)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (164), (201), (280), (6132), (6145),
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6287), (6292), (function-axioms) are inconsistent
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #416.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | (6293) all_54_15 = e1 | all_54_15 = e0
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (358), (6134), (6293) are inconsistent by
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | sub-proof #415.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | End of split
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | (6294) all_14_2 = e2
% 200.75/33.24 | | | | | | | | | | | | | | (6295) op(e2, e3) = all_14_1 & $i(all_14_1) & ( ~
% 200.75/33.24 | | | | | | | | | | | | | | (all_14_1 = e1) | ( ~ (all_14_0 = e0) & op(e1,
% 200.75/33.24 | | | | | | | | | | | | | | e3) = all_14_0 & $i(all_14_0)))
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | ALPHA: (6295) implies:
% 200.75/33.24 | | | | | | | | | | | | | | (6296) op(e2, e3) = all_14_1
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | COMBINE_EQS: (290), (6294) imply:
% 200.75/33.24 | | | | | | | | | | | | | | (6297) all_56_12 = e2
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | REDUCE: (362), (6294) imply:
% 200.75/33.24 | | | | | | | | | | | | | | (6298) ~ (all_52_2 = e2)
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | REDUCE: (364), (6294) imply:
% 200.75/33.24 | | | | | | | | | | | | | | (6299) ~ (all_52_3 = e2)
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | REDUCE: (366), (6294) imply:
% 200.75/33.24 | | | | | | | | | | | | | | (6300) ~ (all_52_4 = e2)
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | REDUCE: (370), (6294) imply:
% 200.75/33.24 | | | | | | | | | | | | | | (6301) ~ (all_52_12 = e2)
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | REDUCE: (5583), (6294) imply:
% 200.75/33.24 | | | | | | | | | | | | | | (6302) ~ (all_32_1 = e2)
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | REDUCE: (355), (6294) imply:
% 200.75/33.24 | | | | | | | | | | | | | | (6303) ~ (e3 = e2)
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | REDUCE: (51), (6294) imply:
% 200.75/33.24 | | | | | | | | | | | | | | (6304) op(e3, e3) = e2
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 200.75/33.24 | | | | | | | | | | | | | | all_14_1, e3, e2, simplifying with (167), (6296)
% 200.75/33.24 | | | | | | | | | | | | | | gives:
% 200.75/33.24 | | | | | | | | | | | | | | (6305) all_52_1 = all_14_1
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | COMBINE_EQS: (279), (6305) imply:
% 200.75/33.24 | | | | | | | | | | | | | | (6306) all_54_4 = all_14_1
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | REDUCE: (148), (6305) imply:
% 200.75/33.24 | | | | | | | | | | | | | | (6307) ~ (all_52_3 = all_14_1)
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | SIMP: (6307) implies:
% 200.75/33.24 | | | | | | | | | | | | | | (6308) ~ (all_52_3 = all_14_1)
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | REDUCE: (146), (6305) imply:
% 200.75/33.24 | | | | | | | | | | | | | | (6309) ~ (all_52_9 = all_14_1)
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | SIMP: (6309) implies:
% 200.75/33.24 | | | | | | | | | | | | | | (6310) ~ (all_52_9 = all_14_1)
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | REDUCE: (145), (6305) imply:
% 200.75/33.24 | | | | | | | | | | | | | | (6311) ~ (all_52_13 = all_14_1)
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | SIMP: (6311) implies:
% 200.75/33.24 | | | | | | | | | | | | | | (6312) ~ (all_52_13 = all_14_1)
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | REDUCE: (5509), (6305) imply:
% 200.75/33.24 | | | | | | | | | | | | | | (6313) ~ (all_14_1 = e1)
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 200.75/33.24 | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | (6314) ~ (all_30_2 = e2)
% 200.75/33.24 | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | REDUCE: (328), (6314) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | (6315) ~ (all_10_2 = e2)
% 200.75/33.24 | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 200.75/33.24 | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | (6316) all_54_15 = e3
% 200.75/33.24 | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | REF_CLOSE: (298), (5585), (6316) are inconsistent by
% 200.75/33.24 | | | | | | | | | | | | | | | | sub-proof #1381.
% 200.75/33.24 | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | (6317) ~ (all_54_15 = e3)
% 200.75/33.24 | | | | | | | | | | | | | | | | (6318) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 200.75/33.24 | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | BETA: splitting (6318) gives:
% 200.75/33.24 | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | (6319) all_54_15 = e2
% 200.75/33.24 | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (6315), (6319) are inconsistent by
% 200.75/33.24 | | | | | | | | | | | | | | | | | sub-proof #1380.
% 200.75/33.24 | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | (6320) ~ (all_54_15 = e2)
% 200.75/33.24 | | | | | | | | | | | | | | | | | (6321) all_54_15 = e1 | all_54_15 = e0
% 200.75/33.24 | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | BETA: splitting (6321) gives:
% 200.75/33.24 | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | (6322) all_54_15 = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (6322) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | (6323) all_10_2 = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | SIMP: (6323) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | (6324) all_10_2 = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (6324) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | (6325) all_40_2 = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (6324) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | (6326) all_46_2 = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (6324) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | (6327) all_56_15 = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | REDUCE: (394), (6324) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | (6328) ~ (all_52_14 = e1)
% 200.75/33.24 | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | REDUCE: (5585), (6324) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | (6329) ~ (e3 = e1)
% 200.75/33.24 | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | REDUCE: (45), (6324) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | (6330) op(e0, e0) = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 200.75/33.24 | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | (6331) ~ (all_40_2 = e1)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | REDUCE: (6325), (6331) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | (6332) $false
% 200.75/33.24 | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | CLOSE: (6332) is inconsistent.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | (6333) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | e0) = all_40_0 & $i(all_40_0)))
% 200.75/33.24 | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | ALPHA: (6333) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | (6334) op(e1, e0) = all_40_1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | (6335) ~ (all_46_2 = e1)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | REDUCE: (6326), (6335) imply:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | (6336) $false
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | CLOSE: (6336) is inconsistent.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | (6337) op(e1, e0) = all_46_1 & $i(all_46_1) & ( ~
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2,
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | ALPHA: (6337) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | (6338) op(e1, e0) = all_46_1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | (6339) ~ (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2,
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0))
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | (6340) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6340) gives:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | (6341) all_58_6 = e1 & op(e1, e3) = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6341) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | (6342) all_58_6 = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | (6343) op(e1, e3) = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | (6344) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6344) gives:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | (6345) all_58_0 = e1 & op(e3, e3) = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6345) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | (6346) op(e3, e3) = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6304), (6346), (function-axioms) are
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | (6347) all_58_1 = e1 & op(e3, e2) = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6347) implies:
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | | (6348) all_58_1 = e1
% 200.75/33.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (51),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (157), (163), (165), (169), (170), (216), (218),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (219), (223), (224), (225), (226), (228), (229),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (245), (246), (355), (356), (358),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (5520), (5521), (5548), (5549), (5550), (5556),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (5561), (5570), (6298), (6300), (6304), (6330),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (6342), (6348), (function-axioms) are inconsistent
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #409.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (6349) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6349) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (6350) all_58_4 = e1 & op(e3, e1) = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (39), (45), (51), (110),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (118), (125), (133), (139), (140),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (144), (157), (158), (159), (160), (163), (164),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (165), (169), (170), (190), (191), (192), (193),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (198), (201), (203), (214), (216),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (221), (222), (223), (224),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (232), (233), (234),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (241),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (242), (245), (246), (255), (256), (257), (258),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (280), (282), (355), (356), (358),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (5512), (5514), (5520), (5521), (5530), (5531),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (5532), (5536), (5548), (5549), (5550), (5551),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (5552), (5556), (5557), (5561), (5570), (5576),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (5578), (5580), (5582), (5584), (5585), (6297),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (6298), (6299), (6300), (6301), (6302), (6304),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (6327), (6328), (6330), (6334), (6338), (6339),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (6342), (6343), (6350), (function-axioms) are
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #403.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (6351) all_58_9 = e1 & op(e3, e0) = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6351) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | (6352) all_58_9 = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | (6353) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6353) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (6354) all_58_0 = e3 & op(e3, e3) = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (6354), (function-axioms) are
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (6355) all_58_1 = e3 & op(e3, e2) = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6355) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (6356) all_58_1 = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6357) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6357) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6358) all_58_4 = e1 & op(e3, e1) = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (39), (45), (51), (110),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (118), (125), (133), (139), (140),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (157), (158), (159), (160), (163), (164),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (169), (170), (190), (191), (192), (193),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (197), (198), (201), (203), (214), (216),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (221), (222), (223), (224),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (232), (233), (234),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (241),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (245), (246), (255), (256), (257), (258),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (280), (282), (355), (356), (358),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5512), (5514), (5520), (5521), (5530), (5531),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5532), (5536), (5548), (5549), (5550), (5551),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5552), (5556), (5557), (5561), (5570), (5576),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5578), (5580), (5582), (5584), (5585), (6297),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6298), (6299), (6300), (6301), (6302), (6304),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6327), (6328), (6330), (6334), (6338), (6339),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6342), (6343), (6358), (function-axioms) are
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #403.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6359) all_58_5 = e1 & op(e2, e1) = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6359) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6360) op(e2, e1) = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5513), (6360), (function-axioms) are
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6361) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6361) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6362) all_58_8 = e1 & op(e1, e1) = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6362) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6363) all_58_8 = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5570), (6363) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364) e3 = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6356), (6364) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6365) all_58_1 = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (51),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (163), (165), (169), (170), (216), (218),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (223), (224), (225), (226), (228), (229),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (245), (246), (355), (356), (358),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520), (5521), (5548), (5549), (5550), (5556),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561), (5570), (6298), (6300), (6304), (6330),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6342), (6365), (function-axioms) are inconsistent
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #409.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6366) all_58_14 = e1 & op(e0, e1) = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6366) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6367) all_58_14 = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6368) all_58_15 = e0 & op(e0, e0) = e0
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (6368), (function-axioms) are
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6369) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6369) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6370) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (218), (219),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (5550), (6330), (6356),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6367), (6370), (function-axioms) are inconsistent
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #402.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | (6371) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (5548), (5556), (5561), (6352),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | (6371), (function-axioms) are inconsistent by
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1677.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | (6372) all_58_7 = e1 & op(e1, e2) = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6372) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | (6373) op(e1, e2) = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5511), (6373), (function-axioms) are
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | (6374) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6374) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | (6375) all_58_8 = e1 & op(e1, e1) = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5570), (6375) are inconsistent by sub-proof
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | #1894.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | (6376) all_58_11 = e1 & op(e1, e0) = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6376) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | (6377) all_58_11 = e1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (169),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | (216), (221), (222), (240), (242), (246), (355),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | (358), (5548), (5556), (5561), (6304), (6330),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | (6377), (function-axioms) are inconsistent by
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | sub-proof #441.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | (6378) all_54_15 = e0
% 200.75/33.25 | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (358), (6378) are inconsistent by sub-proof
% 200.75/33.25 | | | | | | | | | | | | | | | | | | #1323.
% 200.75/33.25 | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | (6379) all_30_2 = e2
% 200.75/33.25 | | | | | | | | | | | | | | | (6380) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 200.75/33.25 | | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 200.75/33.25 | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0)))
% 200.75/33.25 | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | ALPHA: (6380) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | (6381) op(e2, e0) = all_30_1
% 200.75/33.25 | | | | | | | | | | | | | | | (6382) ~ (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 200.75/33.25 | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0))
% 200.75/33.25 | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | COMBINE_EQS: (328), (6379) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | (6383) all_10_2 = e2
% 200.75/33.25 | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | SIMP: (6383) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | (6384) all_10_2 = e2
% 200.75/33.25 | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | COMBINE_EQS: (350), (6384) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | (6385) all_42_2 = e2
% 200.75/33.25 | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | COMBINE_EQS: (254), (6384) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | (6386) all_56_15 = e2
% 200.75/33.25 | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | REDUCE: (393), (6384) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | (6387) ~ (all_52_13 = e2)
% 200.75/33.25 | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | REDUCE: (394), (6384) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | (6388) ~ (all_52_14 = e2)
% 200.75/33.25 | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | REDUCE: (45), (6384) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | (6389) op(e0, e0) = e2
% 200.75/33.25 | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 200.75/33.25 | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | (6390) ~ (all_42_2 = e2)
% 200.75/33.25 | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | REDUCE: (6385), (6390) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | | (6391) $false
% 200.75/33.25 | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | CLOSE: (6391) is inconsistent.
% 200.75/33.25 | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | (6392) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 200.75/33.25 | | | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 200.75/33.25 | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 200.75/33.25 | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | ALPHA: (6392) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | (6393) op(e2, e0) = all_42_1
% 200.75/33.25 | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | (6394) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 200.75/33.25 | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 200.75/33.25 | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (239),
% 200.75/33.25 | | | | | | | | | | | | | | | | | (241), (245), (355), (356), (6304), (6394),
% 200.75/33.25 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.25 | | | | | | | | | | | | | | | | | #623.
% 200.75/33.25 | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | (6395) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 200.75/33.25 | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 200.75/33.25 | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | BETA: splitting (6395) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | (6396) all_58_5 = e2 & op(e2, e1) = e2
% 200.75/33.25 | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | ALPHA: (6396) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | (6397) all_58_5 = e2
% 200.75/33.25 | | | | | | | | | | | | | | | | | | (6398) op(e2, e1) = e2
% 200.75/33.25 | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | (6399) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | BETA: splitting (6399) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6400) all_58_1 = e2 & op(e3, e2) = e2
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (6300), (6400), (function-axioms) are
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6401) all_58_3 = e2 & op(e2, e2) = e2
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (6401), (function-axioms) are
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | (6402) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | BETA: splitting (6402) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6403) all_58_7 = e2 & op(e1, e2) = e2
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | ALPHA: (6403) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6404) all_58_7 = e2
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6405) op(e1, e2) = e2
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1, e2,
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (5505), (6405) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6406) all_6_1 = e2
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (6381)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6407) all_52_13 = all_30_1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (6393)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6408) all_52_13 = all_42_1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (6398) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6409) all_52_9 = e2
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6407), (6408) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6410) all_42_1 = all_30_1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6407) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6411) all_54_7 = all_30_1
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (5534), (6406) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6412) ~ (all_52_7 = e2)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6409) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6413) ~ (all_52_11 = e2)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | SIMP: (6413) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6414) ~ (all_52_11 = e2)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (6310), (6409) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6415) ~ (all_14_1 = e2)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | SIMP: (6415) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6416) ~ (all_14_1 = e2)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (6312), (6407) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6417) ~ (all_30_1 = all_14_1)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (6387), (6407) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6418) ~ (all_30_1 = e2)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (5514), (6407) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | (6419) ~ (all_30_1 = e1)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | (6420) all_54_1 = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (6420) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | (6421) all_52_4 = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | SIMP: (6421) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | (6422) all_52_4 = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6422) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | (6423) ~ (all_52_7 = e3)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | SIMP: (6423) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | (6424) ~ (all_52_7 = e3)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | (6425) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6425) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (6426) all_58_0 = e3 & op(e3, e3) = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (6426), (function-axioms) are
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (6427) all_58_1 = e3 & op(e3, e2) = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6427) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (6428) all_58_1 = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (125), (139),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (140), (157), (158), (160), (164), (167), (190),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (197), (200), (216), (217), (218),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (223), (224), (225), (226), (235),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (241), (255), (256), (257),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (358), (5509), (5512), (5514), (5520), (5521),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (5550), (5551), (5570), (5585), (6299), (6304),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (6306), (6308), (6313), (6382), (6389), (6404),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (6411), (6412), (6414), (6416), (6417), (6418),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (6419), (6424), (6428), (function-axioms) are
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #399.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | (6429) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6429) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (6430) all_58_4 = e3 & op(e3, e1) = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6430) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (6431) op(e3, e1) = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5548), (5556), (5561), (6431),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | #1930.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (6432) all_58_9 = e3 & op(e3, e0) = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6432) implies:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (6433) all_58_9 = e3
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (167), (219), (220), (223), (224),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (235), (236), (238), (240), (241),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (244), (5509), (5514), (5521), (5550), (5551),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (5570), (5585), (6389), (6404), (6424), (6433),
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | | #398.
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | (6434) ~ (all_54_1 = e3)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | (6435) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (282), (6434) imply:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | (6436) ~ (all_52_4 = e3)
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6435) gives:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.25 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | (6437) all_54_1 = e2
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (6300), (6437) are inconsistent by
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1779.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | (6438) ~ (all_54_1 = e2)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | (6439) all_54_1 = e1 | all_54_1 = e0
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | (6440) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6440) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | (6441) all_58_0 = e3 & op(e3, e3) = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (6441), (function-axioms) are
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | (6442) all_58_1 = e3 & op(e3, e2) = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6442) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | (6443) all_58_1 = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6439) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6444) all_54_1 = e1
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (5510), (6444) are inconsistent by
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1778.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6445) all_54_1 = e0
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (6445) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6446) all_52_4 = e0
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6446) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6447) all_52_4 = e0
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6447) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6448) ~ (all_52_7 = e0)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6448) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6449) ~ (all_52_7 = e0)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6436), (6447) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6450) ~ (e3 = e0)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6300), (6447) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6451) ~ (e2 = e0)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5510), (6447) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6452) ~ (e1 = e0)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (6453) all_54_13 = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (6453) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (6454) all_52_7 = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (6454) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (6455) op(e0, e2) = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (235), (5520), (6404), (6443),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (6455), (function-axioms) are inconsistent by
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1393.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (6456) ~ (all_54_13 = e3)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (256), (6456) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (6457) ~ (all_52_7 = e3)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (125), (139),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (157), (158), (160), (164), (167), (190),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (197), (200), (216), (217), (218),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (223), (224), (225), (226), (235),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (241), (255), (256), (257),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5509), (5512), (5514), (5520), (5521),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5550), (5551), (5570), (5585), (6299), (6304),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (6306), (6308), (6313), (6382), (6389), (6404),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (6411), (6412), (6414), (6416), (6417), (6418),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (6419), (6443), (6457), (function-axioms) are
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #399.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | (6458) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6458) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | (6459) all_58_4 = e3 & op(e3, e1) = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6459) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | (6460) op(e3, e1) = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5548), (5556), (5561), (6460),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | #1930.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | (6461) all_58_9 = e3 & op(e3, e0) = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6461) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | (6462) all_58_9 = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6439) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6463) all_54_1 = e1
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (5510), (6463) are inconsistent by
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1778.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6464) all_54_1 = e0
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (6464) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6465) all_52_4 = e0
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6465) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6466) all_52_4 = e0
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6466) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6467) ~ (all_52_7 = e0)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6467) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6468) ~ (all_52_7 = e0)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6436), (6466) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6469) ~ (e3 = e0)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6300), (6466) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6470) ~ (e2 = e0)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5510), (6466) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | (6471) ~ (e1 = e0)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (6472) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6472) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6473) all_58_0 = e1 & op(e3, e3) = e1
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6473) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6474) op(e3, e3) = e1
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6304), (6474), (function-axioms) are
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6475) all_58_1 = e1 & op(e3, e2) = e1
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6475) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6476) all_58_1 = e1
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6477) all_54_13 = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (6477) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6478) all_52_7 = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6478) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6479) all_52_7 = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (6479) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6480) ~ (all_52_3 = e3)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6479) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6481) ~ (all_52_11 = e3)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6482) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6482) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6483) all_58_12 = e3 & op(e0, e3) = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6483) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6484) op(e0, e3) = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6480), (6484), (function-axioms) are
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6485) all_58_13 = e3 & op(e0, e2) = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6485) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6486) all_58_13 = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6487) op(e0, e2) = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (235), (236), (238),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520), (6404), (6476), (6486), (6487),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #396.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6488) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (5550), (5585), (6488),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6489) ~ (all_54_13 = e3)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (256), (6489) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6490) ~ (all_52_7 = e3)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (223),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (238), (5521), (5551), (5570),
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6404), (6476), (6490), (function-axioms) are
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #456.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (6491) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6491) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6492) all_58_4 = e1 & op(e3, e1) = e1
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6492) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6493) all_58_4 = e1
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6494) all_54_13 = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (6494) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6495) all_52_7 = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6495) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6496) all_52_7 = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (6496) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6497) ~ (all_52_3 = e3)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6496) imply:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6498) ~ (all_52_11 = e3)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6499) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6499) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6500) all_58_12 = e3 & op(e0, e3) = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6500) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6501) op(e0, e3) = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6497), (6501), (function-axioms) are
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6502) all_58_13 = e3 & op(e0, e2) = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6502) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6503) all_58_13 = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6504) op(e0, e2) = e3
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6505) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6505) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6506) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6386), (6504), (6506), (function-axioms) are
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #418.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6507) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6507) implies:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6508) op(e0, e1) = all_56_11
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6509) all_56_11 = e3 | ( ~ (all_56_9 = e1) & op(e0, e3)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6510) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6510) gives:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6511) all_58_9 = e1 & op(e3, e0) = e1
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6462), (6511) are inconsistent by sub-proof
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1762.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6512) all_58_10 = e1 & op(e2, e0) = e1
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5514), (6512), (function-axioms) are
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #430.
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 200.75/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6513) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6513) gives:
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6514) all_58_11 = e1 & op(e1, e0) = e1
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6514) implies:
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6515) all_58_11 = e1
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6516) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (51), (159), (163), (245), (355),
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (6304), (6497), (6516), (function-axioms)
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #605.
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6517) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6517) gives:
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6518) all_58_6 = e1 & op(e1, e3) = e1
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6518) implies:
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6519) all_58_6 = e1
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (6515), (6519) are inconsistent by
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #442.
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6520) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6520) implies:
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6521) op(e0, e3) = e1
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (5550), (6508), (6509), (6521),
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #481.
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6522) all_58_15 = e1 & op(e0, e0) = e1
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6522) implies:
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6523) op(e0, e0) = e1
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6389), (6523), (function-axioms) are
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6524) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6524) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6525) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6525) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6526) all_56_15 = e1 | ( ~ (all_56_11 = e0) & op(e0, e1)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6527) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6527) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6528) all_58_1 = e0 & op(e3, e2) = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6528) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6529) all_58_1 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6530) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6530) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6531) all_58_9 = e1 & op(e3, e0) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6462), (6531) are inconsistent by sub-proof
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1762.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6532) all_58_10 = e1 & op(e2, e0) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5514), (6532), (function-axioms) are
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #430.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6533) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6533) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6534) all_58_11 = e1 & op(e1, e0) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6534) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6535) all_58_11 = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6526) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6536) all_56_15 = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6386), (6536) are inconsistent by sub-proof
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1089.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6537) ~ (all_56_15 = e1)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6538) ~ (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6538) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6539) ~ (all_56_11 = e0)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6540) op(e0, e1) = all_56_11
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6541) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6541) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6542) all_58_6 = e0 & op(e1, e3) = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6542) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6543) all_58_6 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6544) all_58_15 = e0 & op(e0, e0) = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (6544), (function-axioms) are
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6545) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6545) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6546) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6547) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (51), (159), (163), (245), (355),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (6304), (6497), (6547), (function-axioms)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #605.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6548) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6548) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6549) all_58_6 = e1 & op(e1, e3) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6549) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6550) all_58_6 = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (6535), (6550) are inconsistent by
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #442.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6551) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6551) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6552) all_58_12 = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6553) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6553) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6554) all_58_4 = e0 & op(e3, e1) = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6554) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6555) all_58_4 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (228), (229),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (6504), (6546), (6552), (6555),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1201.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6556) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6556) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6557) all_58_5 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6397), (6557) imply:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6558) e2 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (224), (225), (5570),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6404), (6543), (6558) are inconsistent by
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1073.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6559) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6559) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6560) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5570), (6560) are inconsistent by sub-proof
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1902.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6561) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6561) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6562) op(e0, e1) = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6539), (6540), (6562), (function-axioms) are
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1318.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6563) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6563) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6564) all_58_7 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6404), (6564) are inconsistent by sub-proof
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1600.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6565) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6565) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6566) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5570), (6566) are inconsistent by sub-proof
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1902.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6567) all_58_11 = e0 & op(e1, e0) = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6567) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6568) all_58_11 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6535), (6568) imply:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6569) e1 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6569) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6570) e1 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (6570) imply:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6571) all_58_3 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (236), (6404), (6503), (6529),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6571) are inconsistent by sub-proof #1796.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6572) all_58_15 = e1 & op(e0, e0) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6572) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6573) op(e0, e0) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6389), (6573), (function-axioms) are
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6574) all_58_3 = e0 & op(e2, e2) = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6574) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6575) all_58_3 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (240), (5570), (6304),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6462), (6493), (6575), (function-axioms) are
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1168.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6576) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (6404), (6504), (6576),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #397.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6577) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6577) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6578) op(e0, e3) = all_56_9
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6579) all_56_9 = e1 | ( ~ (all_56_11 = e3) & op(e0, e1)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6580) all_56_9 = e2 | ( ~ (all_56_10 = e3) & op(e0, e2)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6580) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6581) all_56_9 = e2
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6582) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6582) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6583) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6583) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6584) op(e0, e3) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6578), (6579), (6581), (6584),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #394.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6585) all_58_13 = e1 & op(e0, e2) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6503), (6585) are inconsistent by sub-proof
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1797.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6586) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6586) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6587) all_58_14 = e1 & op(e0, e1) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6587) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6588) all_58_14 = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6589) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6589) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6590) all_58_9 = e1 & op(e3, e0) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6462), (6590) are inconsistent by sub-proof
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1762.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6591) all_58_10 = e1 & op(e2, e0) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5514), (6591), (function-axioms) are
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #430.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6592) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6592) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6593) all_58_11 = e1 & op(e1, e0) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6593) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6594) all_58_11 = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6595) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6595) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6596) all_58_0 = e3 & op(e3, e3) = e3
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (6596), (function-axioms) are
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6597) all_58_2 = e3 & op(e2, e3) = e3
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6597) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6598) all_58_2 = e3
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6599) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6599) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6600) all_58_0 = e1 & op(e3, e3) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6600) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6601) op(e3, e3) = e1
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6602) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6602) gives:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6603) all_58_4 = e0 & op(e3, e1) = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6603) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6604) all_58_4 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6493), (6604) imply:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6605) e1 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6605) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6606) e1 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (6606) imply:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6607) all_58_3 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (223), (224),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (236), (237), (238), (240), (244), (246),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548), (5556), (5561), (5570), (6493), (6601),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6607), (function-axioms) are inconsistent by
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1604.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6608) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6608) implies:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6609) all_58_5 = e0
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (169),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (232), (233), (244), (246), (356), (358),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520), (5548), (5556), (5561), (6493), (6594),
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6598), (6601), (6609), (function-axioms) are
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #392.
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6610) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6610) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6611) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6611) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6612) all_58_8 = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5570), (6612) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1630.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6613) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6613) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6614) all_58_14 = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6588), (6614) imply:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6615) e1 = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (6615) imply:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6616) all_58_3 = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (223), (224),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (236), (237), (238), (240), (244), (246),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548), (5556), (5561), (5570), (6493), (6601),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6616), (function-axioms) are inconsistent by
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1604.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6617) all_58_2 = e1 & op(e2, e3) = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6617) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6618) all_58_2 = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (5547),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6497), (6618), (function-axioms) are inconsistent
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #607.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6619) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6619) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6620) all_58_6 = e1 & op(e1, e3) = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6620) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621) all_58_6 = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (6594), (6621) are inconsistent by
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #442.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6622) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6623) op(e0, e3) = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6578), (6579), (6581), (6623),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #394.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6624) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6624) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6625) all_58_6 = e3 & op(e1, e3) = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6625) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6626) all_58_6 = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (6404), (6626) are inconsistent by
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1451.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6627) all_58_12 = e3 & op(e0, e3) = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6627) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6628) op(e0, e3) = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6497), (6628), (function-axioms) are
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6629) all_58_15 = e1 & op(e0, e0) = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6629) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6630) op(e0, e0) = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6389), (6630), (function-axioms) are
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6631) all_58_15 = e1 & op(e0, e0) = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6631) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6632) op(e0, e0) = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6389), (6632), (function-axioms) are
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6633) ~ (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6633) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6634) ~ (all_56_10 = e3)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6635) op(e0, e2) = all_56_10
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6504), (6634), (6635), (function-axioms) are
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #404.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6636) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (5550), (5585), (6636),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6637) ~ (all_54_13 = e3)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (256), (6637) imply:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6638) ~ (all_52_7 = e3)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (167), (219), (220), (223), (224),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (235), (236), (238), (240), (241),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (5509), (5514), (5521), (5550), (5551),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (5585), (6389), (6404), (6462), (6638),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #398.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6639) all_58_9 = e1 & op(e3, e0) = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6462), (6639) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1762.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | (6640) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (6640) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | (6641) all_58_13 = e2
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | (6642) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6642) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | (6643) all_58_6 = e2 & op(e1, e3) = e2
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6643) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | (6644) op(e1, e3) = e2
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6298), (6644), (function-axioms) are
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | (6645) all_58_7 = e2 & op(e1, e2) = e2
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6645) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | (6646) all_58_7 = e2
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | (6647) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6647) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | (6648) all_58_12 = e3 & op(e0, e3) = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6648) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | (6649) all_58_12 = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | (6650) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6650) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6651) all_58_1 = e0 & op(e3, e2) = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6651) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6652) all_58_1 = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6653) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6653) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6654) all_58_1 = e3 & op(e3, e2) = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6652), (6654) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1812.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6655) all_58_3 = e3 & op(e2, e2) = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6655) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6656) all_58_3 = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6650) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657) all_58_15 = e0 & op(e0, e0) = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (6657), (function-axioms) are
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6658) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6658) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6659) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6659) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6660) all_58_12 = e0 & op(e0, e3) = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6660) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6661) all_58_12 = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6649), (6661) imply:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6662) e3 = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6656), (6662) imply:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6663) all_58_3 = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (5570), (6652), (6663) are
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6664) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6664) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6665) all_58_13 = e0 & op(e0, e2) = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6665) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6666) all_58_13 = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6641), (6666) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1372.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6667) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6667) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6668) all_58_14 = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6669) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6669) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6670) all_58_4 = e1 & op(e3, e1) = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6670) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6671) all_58_4 = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6672) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (6641), (6649), (6672) are inconsistent
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1175.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6673) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (228), (229), (5570),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6389), (6668), (6671), (6673), (function-axioms)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1691.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674) all_58_5 = e1 & op(e2, e1) = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6397), (6674) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1890.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6675) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6675) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6676) all_58_8 = e1 & op(e1, e1) = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5570), (6676) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1888.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6677) all_58_14 = e1 & op(e0, e1) = e1
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6668), (6677) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1893.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6678) all_58_3 = e0 & op(e2, e2) = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6656), (6678) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1308.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6679) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6679) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6680) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6646), (6680) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1358.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6681) all_58_13 = e0 & op(e0, e2) = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6641), (6681) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1547.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6682) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6682) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6683) all_58_7 = e3 & op(e1, e2) = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6683) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684) all_58_7 = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6646), (6684) imply:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6685) e3 = e2
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (5551), (5570), (6684), (6685),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #446.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686) all_58_13 = e3 & op(e0, e2) = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6686) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6687) all_58_13 = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6641), (6687) imply:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6688) e3 = e2
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5570), (6688) imply:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6689) all_58_8 = e2
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (5551), (6646), (6689), (function-axioms)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #506.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6690) all_58_3 = e0 & op(e2, e2) = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5520), (6690) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | #1395.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | (6691) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6691) gives:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6692) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6646), (6692) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | #1358.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6693) all_58_13 = e0 & op(e0, e2) = e0
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6641), (6693) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | | #1547.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | (6694) all_58_13 = e3 & op(e0, e2) = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6694) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | (6695) all_58_13 = e3
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6641), (6695) imply:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | (6696) e3 = e2
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | (226), (5551), (5570), (6646), (6696),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | | #460.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | (6697) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (5550), (5585), (6697),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | (6698) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (160), (227),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | (228), (230), (5550), (6388), (6397), (6698),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | | #424.
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | (6699) all_58_10 = e2 & op(e2, e0) = e2
% 201.01/33.28 | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | ALPHA: (6699) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | | | | (6700) op(e2, e0) = e2
% 201.01/33.28 | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6381), (6387), (6393), (6700),
% 201.01/33.28 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | | | | #1425.
% 201.01/33.28 | | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | (6701) all_10_2 = e3
% 201.01/33.28 | | | | | | | | | | | | | (6702) op(e3, e0) = all_10_1 & $i(all_10_1) & ( ~
% 201.01/33.28 | | | | | | | | | | | | | (all_10_1 = e2) | ( ~ (all_10_0 = e1) & op(e2,
% 201.01/33.28 | | | | | | | | | | | | | e0) = all_10_0 & $i(all_10_0)))
% 201.01/33.28 | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | ALPHA: (6702) implies:
% 201.01/33.28 | | | | | | | | | | | | | (6703) op(e3, e0) = all_10_1
% 201.01/33.28 | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | COMBINE_EQS: (337), (6701) imply:
% 201.01/33.28 | | | | | | | | | | | | | (6704) all_24_2 = e3
% 201.01/33.28 | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | COMBINE_EQS: (254), (6701) imply:
% 201.01/33.28 | | | | | | | | | | | | | (6705) all_56_15 = e3
% 201.01/33.28 | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | REDUCE: (392), (6701) imply:
% 201.01/33.28 | | | | | | | | | | | | | (6706) ~ (all_52_12 = e3)
% 201.01/33.28 | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | REDUCE: (393), (6701) imply:
% 201.01/33.28 | | | | | | | | | | | | | (6707) ~ (all_52_13 = e3)
% 201.01/33.28 | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | BETA: splitting (222) gives:
% 201.01/33.28 | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | (6708) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 201.01/33.28 | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 201.01/33.28 | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | BETA: splitting (6708) gives:
% 201.01/33.28 | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | (6709) all_58_9 = e3 & op(e3, e0) = e3
% 201.01/33.28 | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | ALPHA: (6709) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | (6710) op(e3, e0) = e3
% 201.01/33.28 | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | REF_CLOSE: (67), (168), (6703), (6704), (6706), (6710),
% 201.01/33.28 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.28 | | | | | | | | | | | | | | | #1034.
% 201.01/33.28 | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | (6711) all_58_10 = e3 & op(e2, e0) = e3
% 201.01/33.28 | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | ALPHA: (6711) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | (6712) op(e2, e0) = e3
% 201.01/33.28 | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | REF_CLOSE: (164), (6707), (6712), (function-axioms) are
% 201.01/33.28 | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 201.01/33.28 | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | End of split
% 201.01/33.28 | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | (6713) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 201.01/33.28 | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.01/33.28 | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | BETA: splitting (6713) gives:
% 201.01/33.28 | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | Case 1:
% 201.01/33.28 | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | (6714) all_58_11 = e3 & op(e1, e0) = e3
% 201.01/33.28 | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | ALPHA: (6714) implies:
% 201.01/33.28 | | | | | | | | | | | | | | | (6715) op(e1, e0) = e3
% 201.01/33.28 | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | | REF_CLOSE: (160), (5551), (6715), (function-axioms) are
% 201.01/33.28 | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 201.01/33.28 | | | | | | | | | | | | | | |
% 201.01/33.28 | | | | | | | | | | | | | | Case 2:
% 201.01/33.28 | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | (6716) all_58_15 = e3 & op(e0, e0) = e3
% 201.01/33.29 | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | ALPHA: (6716) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | (6717) all_58_15 = e3
% 201.01/33.29 | | | | | | | | | | | | | | | (6718) op(e0, e0) = e3
% 201.01/33.29 | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 201.01/33.29 | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | (6719) ~ (all_24_2 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | REDUCE: (6704), (6719) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | (6720) $false
% 201.01/33.29 | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | CLOSE: (6720) is inconsistent.
% 201.01/33.29 | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | (6721) op(e3, e0) = all_24_1 & $i(all_24_1) & ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | (all_24_1 = e1) | ( ~ (all_24_0 = e2) & op(e1,
% 201.01/33.29 | | | | | | | | | | | | | | | | e0) = all_24_0 & $i(all_24_0)))
% 201.01/33.29 | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | ALPHA: (6721) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | (6722) op(e3, e0) = all_24_1
% 201.01/33.29 | | | | | | | | | | | | | | | | (6723) ~ (all_24_1 = e1) | ( ~ (all_24_0 = e2) & op(e1,
% 201.01/33.29 | | | | | | | | | | | | | | | | e0) = all_24_0 & $i(all_24_0))
% 201.01/33.29 | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | (6724) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | BETA: splitting (6724) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | (6725) all_58_2 = e3 & op(e2, e3) = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | ALPHA: (6725) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | (6726) all_58_2 = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | (6727) op(e2, e3) = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | (6728) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | BETA: splitting (6728) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6729) all_58_0 = e3 & op(e3, e3) = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (6729), (function-axioms) are
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6730) all_58_1 = e3 & op(e3, e2) = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | ALPHA: (6730) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6731) all_58_1 = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6732) op(e3, e2) = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (6727) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6733) all_52_1 = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | all_10_1, e0, e3, simplifying with (168), (6703)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6734) all_52_12 = all_10_1
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | all_24_1, e0, e3, simplifying with (168), (6722)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6735) all_52_12 = all_24_1
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (6732) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6736) all_52_4 = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6734), (6735) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6737) all_24_1 = all_10_1
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6733) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6738) ~ (all_52_2 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (6733) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6739) ~ (all_52_3 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | SIMP: (6739) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6740) ~ (all_52_3 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6733) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6741) ~ (all_52_9 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (6733) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6742) ~ (all_52_13 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6736) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6743) ~ (all_52_7 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | SIMP: (6743) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6744) ~ (all_52_7 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (5576), (6736) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6745) ~ (all_32_1 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (6736) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6746) ~ (all_14_2 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (5532), (6736) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6747) ~ (all_6_1 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (5582), (6734) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6748) ~ (all_32_1 = all_10_1)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | SIMP: (6748) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6749) ~ (all_32_1 = all_10_1)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (6734) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6750) ~ (all_14_2 = all_10_1)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | SIMP: (6750) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6751) ~ (all_14_2 = all_10_1)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (6706), (6734) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | (6752) ~ (all_10_1 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | (6753) ~ (all_14_2 = e2)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | (6754) ~ (all_28_2 = e1)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (6754) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | (6755) ~ (all_14_2 = e1)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | (6756) all_54_0 = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (6756) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | (6757) all_14_2 = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (6757) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | (6758) $false
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6758) is inconsistent.
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | (6759) ~ (all_54_0 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | (6760) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6760) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | (6761) all_54_0 = e2
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (6761) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | (6762) all_14_2 = e2
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6753), (6762) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | (6763) $false
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6763) is inconsistent.
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | (6764) ~ (all_54_0 = e2)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | (6765) all_54_0 = e1 | all_54_0 = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6765) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6766) all_54_0 = e1
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (6766) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6767) all_14_2 = e1
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6755), (6767) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6768) $false
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6768) is inconsistent.
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6769) all_54_0 = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (6769) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6770) all_14_2 = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (6770) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6771) all_34_2 = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (6770) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6772) all_44_2 = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (6770) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6773) all_56_12 = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (6770) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6774) ~ (all_52_3 = e0)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (6770) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6775) ~ (e3 = e0)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6753), (6770) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6776) ~ (e2 = e0)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6755), (6770) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6777) ~ (e1 = e0)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (6770) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6778) op(e3, e3) = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6779) ~ (all_34_2 = e0)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6771), (6779) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6780) $false
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6780) is inconsistent.
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6781) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_34_1 = e2) | ( ~ (all_34_0 = e1) & op(e2,
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_34_0 & $i(all_34_0)))
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6781) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6782) op(e0, e3) = all_34_1
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6783) ~ (all_44_2 = e0)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6772), (6783) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6784) $false
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6784) is inconsistent.
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6785) op(e0, e3) = all_44_1 & $i(all_44_1) & ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6785) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6786) op(e0, e3) = all_44_1
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6787) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6787) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6788) all_58_0 = e0 & op(e3, e3) = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e3, e0, simplifying with (159), (6782)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6789) all_52_3 = all_34_1
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_44_1, e3, e0, simplifying with (159), (6786)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6790) all_52_3 = all_44_1
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6789), (6790) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6791) all_44_1 = all_34_1
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6791) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6792) all_44_1 = all_34_1
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6774), (6789) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6793) ~ (all_34_1 = e0)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6794) all_54_7 = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (6707), (6794) are inconsistent by
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1491.
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6795) ~ (all_54_7 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6796) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6797) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6797) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6798) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6798) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6799) op(e0, e2) = all_56_10
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6800) op(e1, e2) = all_56_7
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6801) all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3))
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6802) all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6803) all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) =
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 & $i(all_56_6))
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6801) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6804) all_56_13 = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (5508),
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (6726), (6740), (6804), (function-axioms)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #391.
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6805) ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6805) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6806) ~ (all_56_3 = e2)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6807) op(e2, e3) = all_56_3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (158), (243), (5505), (5552), (6744), (6778),
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6799), (6800), (6802), (6803), (6806), (6807),
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #455.
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6808) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6808) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6809) op(e0, e1) = all_56_11
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6810) op(e2, e1) = all_56_4
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6811) op(e3, e1) = all_56_1
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6812) all_56_14 = e0 | ( ~ (all_56_8 = e1) & op(e1, e0)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_8 & $i(all_56_8))
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6813) all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1, e2)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7))
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6814) all_56_11 = e2 | ( ~ (all_56_10 = e1) & op(e0, e2)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6815) all_56_11 = e3 | ( ~ (all_56_9 = e1) & op(e0, e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6816) all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0) =
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 & $i(all_56_5))
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6817) all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) =
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 & $i(all_56_3))
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6818) ~ (all_56_13 = e1) | all_56_4 = e2
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6818) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6819) ~ (all_56_13 = e1)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5508), (6819) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6820) $false
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6820) is inconsistent.
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6821) all_56_4 = e2
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6810), (6821) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6822) op(e2, e1) = e2
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6816) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6823) all_56_4 = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6821), (6823) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6824) e2 = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6824) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6825) e2 = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (6825) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6826) $false
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6826) is inconsistent.
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6827) ~ (all_56_4 = e0)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6828) ~ (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6828) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6829) ~ (all_56_5 = e1)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6830) op(e2, e0) = all_56_5
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6817) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6831) all_56_4 = e3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6821), (6831) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6832) e3 = e2
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (6832) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6833) $false
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6833) is inconsistent.
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6834) ~ (all_56_4 = e3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6835) ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6835) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6836) ~ (all_56_3 = e1)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6837) op(e2, e3) = all_56_3
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6821), (6834) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6838) ~ (e3 = e2)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6812) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6839) all_56_14 = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5546), (6839) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6840) e3 = e0
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (6840) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6841) $false
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6841) is inconsistent.
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6842) ~ (all_56_14 = e0)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6843) ~ (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6843) implies:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6844) ~ (all_56_8 = e1)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6845) op(e1, e0) = all_56_8
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6813) gives:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6846) all_56_14 = e2
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5546), (6846) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6847) e3 = e2
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (6847) imply:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6848) $false
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6848) is inconsistent.
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6849) ~ (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7)
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6849) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6850) ~ (all_56_7 = e1)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6851) op(e1, e2) = all_56_7
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11, e1, e0, simplifying with (157), (6809)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6852) all_56_11 = all_52_11
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8, e0, e1, simplifying with (160), (6845)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6853) all_56_8 = all_52_14
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e0, e2, simplifying with (164), (6830)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6854) all_56_5 = all_52_13
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (6822) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6855) all_52_9 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_3,
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (6727), (6837) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6856) all_56_3 = e3
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1,
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_1, e1, e3, simplifying with (5556), (6811)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6857) all_56_1 = all_32_1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6844), (6853) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6858) ~ (all_52_14 = e1)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6855) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6859) ~ (all_52_11 = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6859) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6860) ~ (all_52_11 = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (6855) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6861) ~ (all_52_13 = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6861) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6862) ~ (all_52_13 = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6796) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6863) all_54_7 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (6862), (6863) are inconsistent by
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1247.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6864) ~ (all_54_7 = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6865) all_54_7 = e1 | all_54_7 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6866) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (356), (6726), (6866),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #393.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6867) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6867) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6868) all_58_5 = e2 & op(e2, e1) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6868) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6869) all_58_5 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6870) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6870) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6871) all_58_0 = e2 & op(e3, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6871) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6872) op(e3, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6778), (6872), (function-axioms) are
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6873) all_58_1 = e2 & op(e3, e2) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (227), (228),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (5550), (5570), (6731), (6869), (6873),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #390.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6874) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6874) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6875) all_58_4 = e2 & op(e3, e1) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6875) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6876) all_58_4 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6877) op(e3, e1) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6865) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6878) all_54_7 = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5514), (6878) are inconsistent by
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #389.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6879) all_54_7 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6879) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6880) all_52_13 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6880) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6881) all_52_13 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6881) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6882) ~ (all_52_14 = e0)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6882) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6883) ~ (all_52_14 = e0)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6884) all_54_11 = e3
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (5551), (6884) are inconsistent by
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1295.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6885) ~ (all_54_11 = e3)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6886) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6887) all_58_15 = e0 & op(e0, e0) = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (6887), (function-axioms) are
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6888) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6888) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6889) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6890) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (165), (5513), (6876), (6890),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #388.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6891) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6891) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6892) all_58_8 = e1 & op(e1, e1) = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6892) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6893) all_58_8 = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5570), (6893) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6894) e3 = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6894) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6895) e3 = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6726), (6895) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6896) all_58_2 = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (5547),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740), (6896), (function-axioms) are inconsistent
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #607.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6897) all_58_14 = e1 & op(e0, e1) = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6897) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6898) all_58_14 = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6886) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6899) all_54_11 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (6899) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6900) all_52_14 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6900) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6901) all_52_14 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (6901) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6902) ~ (all_52_2 = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6903) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6903) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6904) all_58_1 = e2 & op(e3, e2) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (227), (228),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (5550), (5570), (6731), (6869), (6904),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #390.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6905) all_58_3 = e2 & op(e2, e2) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (6905), (function-axioms) are
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6906) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6906) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6907) all_58_7 = e2 & op(e1, e2) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6907) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6908) all_58_7 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6909) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6909) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6910) all_58_0 = e2 & op(e3, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6910) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6911) op(e3, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6778), (6911), (function-axioms) are
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6912) all_58_2 = e2 & op(e2, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6912) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6913) all_58_2 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6914) op(e2, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6726), (6913) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6915) e3 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6915) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6916) e3 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5570), (6916) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6917) all_58_8 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (223), (224),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (241), (243), (245), (6778), (6902),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6908), (6913), (6914), (6917), (function-axioms)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #731.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6918) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6918) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6919) all_58_6 = e2 & op(e1, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6919) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6920) op(e1, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6902), (6920), (function-axioms) are
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6921) all_58_12 = e2 & op(e0, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6921) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6922) all_58_12 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6923) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6923) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6924) all_58_6 = e0 & op(e1, e3) = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (241), (243),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (6740), (6778), (6924), (function-axioms)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #532.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6925) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6925) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6926) all_58_7 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6908), (6926) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6927) e2 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6876), (6927) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6928) all_58_4 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (242), (244),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (6703), (6706), (6722), (6778), (6928),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #528.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6929) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (165), (168),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (236), (241), (242), (243),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (5520), (5556), (5562),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (5574), (6703), (6706), (6722), (6726),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6731), (6778), (6809), (6814), (6844), (6845),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6850), (6851), (6877), (6898), (6902), (6922),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6929), (function-axioms) are inconsistent by
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #386.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6930) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6930) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6931) all_58_13 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6932) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6932) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6933) all_58_0 = e2 & op(e3, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6933) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6934) op(e3, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6778), (6934), (function-axioms) are
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6935) all_58_2 = e2 & op(e2, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6935) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6936) all_58_2 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6726), (6936) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6937) e3 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6937) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6938) e3 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5570), (6938) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6939) all_58_8 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (228), (230),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (243), (245), (6778), (6876), (6889),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6902), (6931), (6936), (6939), (function-axioms)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #711.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6940) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6940) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6941) all_58_6 = e2 & op(e1, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6941) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6942) op(e1, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6902), (6942), (function-axioms) are
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6943) all_58_12 = e2 & op(e0, e3) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6943) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6944) all_58_12 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6945) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6945) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6946) all_58_6 = e0 & op(e1, e3) = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (241), (243),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (6740), (6778), (6946), (function-axioms)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #532.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6947) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6947) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6948) all_58_7 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6949) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (168), (242),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (5556), (5562), (5574), (6703),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6706), (6722), (6778), (6877), (6949),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #387.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6950) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6950) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6951) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (5570), (6726), (6778), (6902), (6944),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6951), (function-axioms) are inconsistent by
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #432.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6952) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6952) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6953) all_58_14 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6898), (6953) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6954) e1 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6954) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6955) e1 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (6955) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6956) all_58_3 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (217), (236), (237),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718), (6731), (6948), (6953), (6956),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1065.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6957) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (165), (168),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (236), (241), (242), (243),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (5520), (5556), (5562),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (5574), (6703), (6706), (6722), (6726),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6731), (6778), (6809), (6814), (6844), (6845),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6850), (6851), (6877), (6898), (6902), (6944),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6957), (function-axioms) are inconsistent by
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #386.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6958) all_54_11 = e1 | all_54_11 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (258), (269), (5514), (6796), (6858),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6862), (6958) are inconsistent by sub-proof #503.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6959) all_58_9 = e2 & op(e3, e0) = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6959) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6960) all_58_9 = e2
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6865) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6961) all_54_7 = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5514), (6961) are inconsistent by
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #389.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6962) all_54_7 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6962) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6963) all_52_13 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6963) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6964) all_52_13 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6964) imply:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6965) ~ (all_52_14 = e0)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6965) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6966) ~ (all_52_14 = e0)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6967) all_54_11 = e3
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (5551), (6967) are inconsistent by
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1295.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6968) ~ (all_54_11 = e3)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6969) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6970) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6970) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6971) all_58_0 = e1 & op(e3, e3) = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6971) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6972) op(e3, e3) = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6778), (6972), (function-axioms) are
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6973) all_58_1 = e1 & op(e3, e2) = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (5547),
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6726), (6731), (6740), (6973), (function-axioms)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #385.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6974) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6974) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6975) all_58_4 = e1 & op(e3, e1) = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6975) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6976) all_58_4 = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6977) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6977) gives:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6978) all_58_9 = e1 & op(e3, e0) = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6960), (6978) are inconsistent by sub-proof
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1674.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6979) all_58_10 = e1 & op(e2, e0) = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6979) implies:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6980) op(e2, e0) = e1
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6829), (6830), (6980), (function-axioms) are
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6981) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6981) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6982) all_58_11 = e1 & op(e1, e0) = e1
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6982) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6983) all_58_11 = e1
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6815) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6984) all_56_11 = e3
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6852), (6984) imply:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6985) all_52_11 = e3
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5550), (6985) imply:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6986) $false
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6986) is inconsistent.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6987) ~ (all_56_11 = e3)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6988) ~ (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6988) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6989) ~ (all_56_9 = e1)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6990) op(e0, e3) = all_56_9
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6969) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6991) all_54_11 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (6991) imply:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6992) all_52_14 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6992) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6993) all_52_14 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (6993) imply:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6994) ~ (all_52_2 = e2)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6995) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (242),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (245), (5520), (6731), (6778), (6960),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6976), (6994), (6995), (function-axioms) are
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #384.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6996) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6996) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6997) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6997) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6998) op(e2, e1) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6810), (6827), (6998), (function-axioms) are
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #473.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6999) all_58_10 = e0 & op(e2, e0) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6999) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7000) all_58_10 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7001) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7001) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7002) all_58_0 = e2 & op(e3, e3) = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7002) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7003) op(e3, e3) = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (240), (242), (6731),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6960), (7003), (function-axioms) are inconsistent
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1256.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004) all_58_2 = e2 & op(e2, e3) = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7004) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7005) all_58_2 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6726), (7005) imply:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7006) e3 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7006) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7007) e3 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5570), (7007) imply:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7008) all_58_8 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (227), (228),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (5550), (6869), (7008), (function-axioms)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #793.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7009) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7009) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010) all_58_6 = e2 & op(e1, e3) = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7010) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7011) op(e1, e3) = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6994), (7011), (function-axioms) are
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7012) all_58_12 = e2 & op(e0, e3) = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7012) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7013) all_58_12 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7014) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7014) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7015) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7015) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7016) op(e0, e3) = e1
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6989), (6990), (7016), (function-axioms) are
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #482.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7017) all_58_13 = e1 & op(e0, e2) = e1
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7017) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7018) op(e0, e2) = e1
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6814) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7019) all_56_11 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6852), (7019) imply:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7020) all_52_11 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7020) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7021) all_52_11 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6860), (7021) imply:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7022) $false
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7022) is inconsistent.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7023) ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7023) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7024) ~ (all_56_10 = e1)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7025) op(e0, e2) = all_56_10
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7018), (7024), (7025), (function-axioms) are
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1224.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7026) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7026) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7027) all_58_14 = e1 & op(e0, e1) = e1
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7027) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7028) all_58_14 = e1
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7029) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7029) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7030) all_58_4 = e0 & op(e3, e1) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7030) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7031) all_58_4 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (242), (6731), (6778), (6960),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7031), (function-axioms) are inconsistent by
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #530.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7032) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7032) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7033) op(e2, e1) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6810), (6827), (7033), (function-axioms) are
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #473.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7034) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7034) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7035) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (5570), (6726), (6778), (6994), (7013),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7035), (function-axioms) are inconsistent by
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #432.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7036) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7036) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7037) all_58_14 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7028), (7037) imply:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7038) e1 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7038) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7039) e1 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (7039) imply:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7040) all_58_3 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (228), (229), (232),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (6726), (6869), (6976), (7000), (7037),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7040) are inconsistent by sub-proof #1889.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7041) all_58_15 = e1 & op(e0, e0) = e1
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7041) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7042) op(e0, e0) = e1
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (216),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (358), (6707), (6983), (7042),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #660.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7043) all_54_11 = e1 | all_54_11 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (258), (269), (5514), (6796), (6858),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6862), (7043) are inconsistent by sub-proof #503.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7044) all_58_15 = e1 & op(e0, e0) = e1
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7044) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7045) op(e0, e0) = e1
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6718), (7045), (function-axioms) are
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7046) all_58_9 = e1 & op(e3, e0) = e1
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7046) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7047) all_58_9 = e1
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6960), (7047) are inconsistent by sub-proof
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1877.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7048) all_58_10 = e2 & op(e2, e0) = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7048) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7049) all_58_10 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7050) op(e2, e0) = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7051) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (6731), (6778), (7051),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1917.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7052) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7052) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7053) all_58_4 = e2 & op(e3, e1) = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7053) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7054) all_58_4 = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7055) op(e3, e1) = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7056) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7056) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7057) all_58_2 = e0 & op(e2, e3) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7057) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7058) all_58_2 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6726), (7058) are inconsistent by sub-proof
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1925.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7059) all_58_3 = e0 & op(e2, e2) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5520), (7059) are inconsistent by sub-proof
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1395.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7060) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7060) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7061) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7061) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7062) op(e2, e1) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5556), (5562), (5574), (7055), (7062),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1356.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7063) all_58_10 = e0 & op(e2, e0) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7063) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064) all_58_10 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7049), (7064) imply:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065) e2 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7065) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7066) e2 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7054), (7066) imply:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7067) all_58_4 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (242), (244),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (6703), (6706), (6722), (6778), (7067),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #528.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7068) all_58_9 = e2 & op(e3, e0) = e2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (45), (216), (220), (358),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718), (7049), (7050), (7068), (function-axioms)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #382.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7069) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7069) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7070) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7070) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7071) op(e3, e0) = all_56_2
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7072) ~ (all_56_12 = e0) | all_56_2 = e3
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (6703), (6706), (6722), (6773), (7071),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7072), (function-axioms) are inconsistent by
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #501.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7073) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6705), (6782), (6793), (7073), (function-axioms)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1055.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7074) all_58_1 = e0 & op(e3, e2) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6731), (7074) are inconsistent by sub-proof
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1410.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7075) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7075) gives:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7076) all_58_4 = e0 & op(e3, e1) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7076) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7077) all_58_4 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (242), (244),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (6703), (6706), (6722), (6778), (7077),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #528.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7078) all_58_9 = e0 & op(e3, e0) = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7078) implies:
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7079) all_58_9 = e0
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (6731),
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6778), (7079), (function-axioms) are inconsistent
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1912.
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | (7080) all_28_2 = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | (7081) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0)))
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7081) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | (7082) op(e1, e3) = all_28_1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (7080) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | (7083) all_14_2 = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | SIMP: (7083) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | (7084) all_14_2 = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (7084) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | (7085) all_36_2 = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (7084) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | (7086) all_56_12 = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (7084) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | (7087) ~ (all_52_2 = e1)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (7084) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | (7088) ~ (e3 = e1)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (7084) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | (7089) op(e3, e3) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | (7090) ~ (all_36_2 = e1)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7085), (7090) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | (7091) $false
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7091) is inconsistent.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | (7092) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7092) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | (7093) op(e1, e3) = all_36_1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | (7094) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7094) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (7095) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7095) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (7096) all_58_12 = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (7097) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (6726), (7089), (7097),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | #511.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (7098) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7098) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7099) all_58_6 = e2 & op(e1, e3) = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7099) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7100) all_58_6 = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7101) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7101) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7102) all_58_4 = e1 & op(e3, e1) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7102) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7103) all_58_4 = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7104) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (6731), (7089), (7104),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1608.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7105) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7105) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7106) all_58_4 = e2 & op(e3, e1) = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7106) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7107) all_58_4 = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7103), (7107) are inconsistent by sub-proof
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1647.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7108) all_58_9 = e2 & op(e3, e0) = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7108) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7109) all_58_9 = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7110) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (6726), (7089), (7110),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1386.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7111) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7111) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7112) all_58_6 = e0 & op(e1, e3) = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7112) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7113) all_58_6 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7100), (7113) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7114) e2 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7114) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7115) e2 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7109), (7115) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7116) all_58_9 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (169), (244), (246),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548), (5556), (5561), (7089), (7103), (7116),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1605.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7117) all_58_12 = e0 & op(e0, e3) = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7117) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7118) all_58_12 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7096), (7118) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7119) e1 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7119) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7120) e1 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (7120) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7121) all_58_3 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (223), (224),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (236), (237), (238), (240), (244), (246),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548), (5556), (5561), (5570), (7089), (7103),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7121), (function-axioms) are inconsistent by
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1604.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7122) all_58_5 = e1 & op(e2, e1) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7122) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7123) op(e2, e1) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5513), (7123), (function-axioms) are
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7124) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7124) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7125) all_58_8 = e1 & op(e1, e1) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (5547),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (6726), (6740), (7125), (function-axioms)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #381.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7126) all_58_14 = e1 & op(e0, e1) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7126) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7127) all_58_14 = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128) all_58_15 = e0 & op(e0, e0) = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (7128), (function-axioms) are
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7129) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7129) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7130) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7130) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7131) all_58_12 = e0 & op(e0, e3) = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7131) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7132) all_58_12 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7096), (7132) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7133) e1 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7133) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7134) e1 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7127), (7134) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7135) all_58_14 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (217), (218), (6717),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718), (7132), (7135), (function-axioms) are
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1650.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7136) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7136) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7137) all_58_13 = e0 & op(e0, e2) = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7137) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7138) all_58_13 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7139) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7139) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7140) all_58_1 = e2 & op(e3, e2) = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6731), (7140) are inconsistent by sub-proof
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1918.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7141) all_58_3 = e2 & op(e2, e2) = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (7141), (function-axioms) are
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7142) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7142) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7143) all_58_7 = e2 & op(e1, e2) = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7143) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7144) all_58_7 = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7145) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (6726), (7089), (7145),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1386.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7146) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7146) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7147) all_58_6 = e0 & op(e1, e3) = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7147) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7148) all_58_6 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7100), (7148) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7149) e2 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7144), (7149) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7150) all_58_7 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (224), (225), (5570),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7148), (7150) are inconsistent by sub-proof
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1556.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7151) all_58_12 = e0 & op(e0, e3) = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7151) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7152) all_58_12 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7096), (7152) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7153) e1 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (217), (218), (6717),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718), (7096), (7127), (7153), (function-axioms)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #380.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7154) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7154) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7155) all_58_13 = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7138), (7155) are inconsistent by sub-proof
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1372.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7156) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7156) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7157) all_58_14 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7127), (7157) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7158) e1 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (217), (218), (6717),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718), (7096), (7127), (7158), (function-axioms)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #380.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7159) all_58_12 = e2 & op(e0, e3) = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7159) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7160) all_58_12 = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7096), (7160) are inconsistent by sub-proof
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1856.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (7161) all_58_13 = e1 & op(e0, e2) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7161) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (7162) all_58_13 = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (7163) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7163) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7164) all_58_1 = e2 & op(e3, e2) = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6731), (7164) are inconsistent by sub-proof
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1918.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7165) all_58_3 = e2 & op(e2, e2) = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (7165), (function-axioms) are
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (7166) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7166) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7167) all_58_7 = e2 & op(e1, e2) = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7167) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7168) all_58_7 = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7169) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7169) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7170) all_58_4 = e1 & op(e3, e1) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7170) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7171) all_58_4 = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7172) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7172) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7173) all_58_1 = e0 & op(e3, e2) = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6731), (7173) are inconsistent by sub-proof
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1410.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7174) all_58_3 = e0 & op(e2, e2) = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7174) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7175) all_58_3 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (223), (224),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (236), (237), (238), (240), (244), (246),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548), (5556), (5561), (5570), (7089), (7171),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7175), (function-axioms) are inconsistent by
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1604.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7176) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7176) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7177) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7177) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7178) all_58_7 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7168), (7178) are inconsistent by sub-proof
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1600.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7179) all_58_13 = e0 & op(e0, e2) = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7179) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7180) all_58_13 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7162), (7180) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7181) e1 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (7181) imply:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7182) all_58_3 = e0
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (223), (224),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (236), (237), (238), (240), (244), (246),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548), (5556), (5561), (5570), (7089), (7171),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7182), (function-axioms) are inconsistent by
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1604.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7183) all_58_5 = e1 & op(e2, e1) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7183) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7184) op(e2, e1) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5513), (7184), (function-axioms) are
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7185) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7185) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7186) all_58_8 = e1 & op(e1, e1) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (5547),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (6726), (6740), (7186), (function-axioms)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #381.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7187) all_58_14 = e1 & op(e0, e1) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (51),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (168), (169), (214), (216), (218), (219),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (227), (229),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (235), (236), (237), (238), (239),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (243), (244), (245), (246), (355), (356),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5508), (5511), (5514), (5520), (5546),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (5548), (5551), (5556), (5561), (5562),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (5574), (6703), (6705), (6706), (6717),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718), (6722), (6726), (6727), (6731), (6732),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740), (6744), (7082), (7086), (7087), (7089),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7093), (7187), (function-axioms) are inconsistent
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #373.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7188) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7188) implies:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7189) all_58_13 = e2
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7162), (7189) are inconsistent by sub-proof
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1671.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | (7190) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7190) gives:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (7191) all_58_14 = e1 & op(e0, e1) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (51),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (165), (168), (169), (214), (216), (218), (219),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (227), (229),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (235), (236), (237), (238), (239),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (240), (243), (244), (245), (246), (355), (356),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5508), (5511), (5514), (5520), (5546),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (5548), (5551), (5556), (5561), (5562),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (5574), (6703), (6705), (6706), (6717),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6718), (6722), (6726), (6727), (6731), (6732),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6740), (6744), (7082), (7086), (7087), (7089),
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (7093), (7191), (function-axioms) are inconsistent
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #373.
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | (7192) all_58_15 = e1 & op(e0, e0) = e1
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.32 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7192) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | (7193) op(e0, e0) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6718), (7193), (function-axioms) are
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | (7194) all_14_2 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (7194) imply:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | (7195) ~ (all_52_2 = e2)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6751), (7194) imply:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | (7196) ~ (all_10_1 = e2)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | SIMP: (7196) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | (7197) ~ (all_10_1 = e2)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (7194) imply:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | (7198) ~ (e3 = e2)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (7194) imply:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | (7199) op(e3, e3) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | (7200) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7200) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | (7201) all_58_4 = e1 & op(e3, e1) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7201) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | (7202) all_58_4 = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | (7203) op(e3, e1) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | (7204) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (6731), (7199), (7204),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | #1259.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | (7205) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7205) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | (7206) all_58_4 = e0 & op(e3, e1) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7202), (7206) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | #1611.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | (7207) all_58_9 = e0 & op(e3, e0) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7207) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | (7208) all_58_9 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | (7209) op(e3, e0) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7210) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7210) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7211) all_58_9 = e1 & op(e3, e0) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7208), (7211) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1634.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7212) all_58_10 = e1 & op(e2, e0) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5514), (7212), (function-axioms) are
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #430.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7213) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7213) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7214) all_58_11 = e1 & op(e1, e0) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7214) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7215) all_58_11 = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7216) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7216) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7217) all_58_9 = e2 & op(e3, e0) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7217) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7218) all_58_9 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (5548), (5556), (5561),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7199), (7218), (function-axioms) are inconsistent
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1254.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7219) all_58_10 = e2 & op(e2, e0) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7219) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7220) op(e2, e0) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7221) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7221) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7222) all_58_6 = e2 & op(e1, e3) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7222) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7223) op(e1, e3) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7195), (7223), (function-axioms) are
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7224) all_58_7 = e2 & op(e1, e2) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7224) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7225) all_58_7 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7226) op(e1, e2) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7227) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7227) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7228) all_58_1 = e0 & op(e3, e2) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6731), (7228) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1410.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7229) all_58_3 = e0 & op(e2, e2) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5520), (7229) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1395.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7230) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7230) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7231) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7225), (7231) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1358.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7232) all_58_13 = e0 & op(e0, e2) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7232) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7233) all_58_13 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7234) op(e0, e2) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7235) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7235) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7236) all_58_12 = e2 & op(e0, e3) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7236) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7237) all_58_12 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7238) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7238) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7239) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7237), (7239) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1734.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7240) all_58_13 = e1 & op(e0, e2) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7240) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7241) all_58_13 = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7242) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (51), (159), (163), (245), (355),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (6740), (7199), (7242), (function-axioms)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #605.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7243) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7243) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7244) all_58_6 = e1 & op(e1, e3) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7244) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7245) all_58_6 = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7246) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7246) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7247) all_58_1 = e0 & op(e3, e2) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6731), (7247) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1410.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7248) all_58_3 = e0 & op(e2, e2) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7248) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7249) all_58_3 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (7249) imply:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7250) e1 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7250) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7251) e1 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7245), (7251) imply:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252) all_58_6 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (241), (6726), (7199), (7237),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252), (function-axioms) are inconsistent by
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7230) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7253) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7253) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7254) all_58_7 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7255) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (168),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (246), (355), (356), (6703), (6706),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722), (7199), (7255), (function-axioms) are
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #484.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7256) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7224), (7254) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1599.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7257) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7257) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7258) all_58_13 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7241), (7258) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1671.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7233), (7241) imply:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7259) e1 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7259) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7260) e1 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7245), (7260) imply:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7261) all_58_6 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (241), (6726), (7199), (7237),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7261), (function-axioms) are inconsistent by
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7262) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7237), (7262) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1734.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7263) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7263) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7264) all_58_14 = e1 & op(e0, e1) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7264) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7265) all_58_14 = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7266) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7266) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7267) all_58_4 = e2 & op(e3, e1) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7267) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7268) all_58_4 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7269) op(e3, e1) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (232), (233), (234), (239),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (5520), (5549), (5556), (5562), (5570),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5574), (6717), (6718), (6726), (7199), (7237),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7265), (7268), (7269), (function-axioms) are
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #371.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7270) all_58_5 = e2 & op(e2, e1) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7270) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7271) all_58_5 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7272) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7272) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7273) all_58_4 = e0 & op(e3, e1) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7273) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7274) all_58_4 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7275) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (51), (159), (163), (245), (355),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (6726), (6731), (6740), (7199), (7275),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #370.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7276) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7276) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7202), (7274) imply:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7277) e1 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7265), (7277) imply:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7278) all_58_14 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (7277) imply:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7279) all_58_3 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (232), (233), (234), (239), (241),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5549), (5570), (6717), (6718), (6726), (7199),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7237), (7278), (7279), (function-axioms) are
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1039.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7280) all_58_9 = e1 & op(e3, e0) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7280) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7281) all_58_9 = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (159),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (168), (169), (217), (218), (221),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (228), (229), (231), (232),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (237), (239), (240), (241),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (245), (246), (355), (356), (5520),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (5548), (5549), (5556), (5561), (5562),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (5574), (6703), (6706), (6717), (6718),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722), (6726), (6731), (6740), (7199), (7237),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7265), (7271), (7274), (7281), (function-axioms)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #368.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7282) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7282) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7283) all_58_5 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7284) op(e2, e1) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (165), (229), (5556), (5562),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (5574), (7265), (7283), (7284),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #462.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7285) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (232), (233), (234), (239), (241),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520), (5549), (5570), (6717), (6718), (6726),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7199), (7237), (7265), (7285), (function-axioms)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #372.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7286) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7286) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7287) all_58_8 = e2 & op(e1, e1) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (240),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (5570), (6703), (6706),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722), (6731), (7199), (7287), (function-axioms)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #367.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7288) all_58_14 = e2 & op(e0, e1) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7288) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7289) all_58_14 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (45), (216), (217),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (358), (6717), (6718), (7237), (7289),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #365.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7290) all_58_15 = e1 & op(e0, e0) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7290) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7291) op(e0, e0) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6718), (7291), (function-axioms) are
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7292) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7292) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7293) all_58_13 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7233), (7293) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1372.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7294) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7294) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7295) all_58_14 = e2 & op(e0, e1) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7295) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7296) all_58_14 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7297) op(e0, e1) = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7298) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7298) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7299) all_58_4 = e0 & op(e3, e1) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (5556), (5557), (7297), (7299),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1037.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7300) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7300) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7301) all_58_5 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7302) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7302) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7303) all_58_0 = e1 & op(e3, e3) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7303) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7304) op(e3, e3) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (169),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (232), (233), (244), (246), (356), (358),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520), (5548), (5556), (5561), (6726), (7202),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7215), (7301), (7304), (function-axioms) are
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #392.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7305) all_58_2 = e1 & op(e2, e3) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7305) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7306) all_58_2 = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (5547),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740), (7306), (function-axioms) are inconsistent
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #607.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7307) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7307) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7308) all_58_6 = e1 & op(e1, e3) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7308) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7309) all_58_6 = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (7215), (7309) are inconsistent by
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #442.
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7310) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7310) implies:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7311) op(e0, e3) = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (7297) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7312) all_52_11 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (7234) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7313) all_52_7 = e0
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (7311) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7314) all_52_3 = e1
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1, e2,
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (5505), (7226) gives:
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7315) all_6_1 = e2
% 201.01/33.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (7220) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7316) all_52_13 = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1, e0,
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (6703), (7209) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7317) all_10_1 = e0
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1, e1,
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (5556), (7203) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7318) all_32_1 = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5584), (7318) imply:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7319) ~ (e3 = e1)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6752), (7317) imply:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7320) ~ (e3 = e0)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7197), (7317) imply:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7321) ~ (e2 = e0)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7322) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7322) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7323) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7323) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7324) op(e0, e2) = all_56_10
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7325) all_56_10 = e1 | ( ~ (all_56_11 = e2) & op(e0, e1)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7326) all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7325) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7327) all_56_10 = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7324), (7327) imply:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7328) op(e0, e2) = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7326) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7329) all_56_10 = e3
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7327), (7329) imply:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7330) e3 = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7330) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7331) e3 = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6726), (7331) imply:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7332) all_58_2 = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (5547),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740), (7332), (function-axioms) are inconsistent
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #607.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7333) ~ (all_56_10 = e3)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e2,
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (7234), (7328) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7334) e1 = e0
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (7334) imply:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7335) all_58_3 = e0
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (6726), (7220), (7301),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7335), (function-axioms) are inconsistent by
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1048.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7336) ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7336) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7337) ~ (all_56_11 = e2)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7338) op(e0, e1) = all_56_11
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11, e1, e0, simplifying with (7297), (7338)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7339) all_56_11 = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7337), (7339) imply:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7340) $false
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7340) is inconsistent.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7341) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7341) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7342) op(e0, e1) = all_56_11
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7343) all_56_11 = e3 | ( ~ (all_56_9 = e1) & op(e0, e3)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (5550), (7311), (7342), (7343),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #481.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7344) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7344) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7345) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7345) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7346) all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0, e2)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7346) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7347) all_56_15 = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6705), (7347) imply:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7348) e3 = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6731), (7348) imply:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7349) all_58_1 = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (240),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (6703), (6706), (6722),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7199), (7349), (function-axioms) are inconsistent
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #485.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7350) ~ (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7350) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7351) ~ (all_56_10 = e0)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7352) op(e0, e2) = all_56_10
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7234), (7351), (7352), (function-axioms) are
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1333.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7353) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7353) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7354) op(e0, e3) = all_56_9
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7355) all_56_9 = e1 | ( ~ (all_56_11 = e3) & op(e0, e1)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7356) ~ (all_56_15 = e3) | all_56_9 = e0
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7356) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7357) ~ (all_56_15 = e3)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6705), (7357) imply:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7358) $false
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7358) is inconsistent.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7359) all_56_9 = e0
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7355) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7360) all_56_9 = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7359), (7360) imply:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7361) e1 = e0
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7361) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7362) e1 = e0
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (7362) imply:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7363) all_58_3 = e0
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (6726), (7220), (7301),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7363), (function-axioms) are inconsistent by
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1048.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7364) ~ (all_56_9 = e1)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7311), (7354), (7364), (function-axioms) are
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #395.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7365) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7365) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7366) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5570), (7366) are inconsistent by sub-proof
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1902.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7367) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7296), (7367) are inconsistent by sub-proof
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1098.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7368) all_58_15 = e2 & op(e0, e0) = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (240),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (6703), (6706), (6717),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722), (6731), (7199), (7368), (function-axioms)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #364.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7369) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7369) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7370) all_58_8 = e2 & op(e1, e1) = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (240),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (5570), (6703), (6706),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722), (6731), (7199), (7370), (function-axioms)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #367.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7371) all_58_11 = e2 & op(e1, e0) = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7371) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7372) all_58_11 = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7215), (7372) are inconsistent by sub-proof
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1559.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7373) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7373) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7374) all_58_11 = e2 & op(e1, e0) = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7374) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7375) all_58_11 = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7215), (7375) are inconsistent by sub-proof
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1559.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7376) all_58_15 = e2 & op(e0, e0) = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (240),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (6703), (6706), (6717),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722), (6731), (7199), (7376), (function-axioms)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #364.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7377) all_58_15 = e1 & op(e0, e0) = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7377) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7378) op(e0, e0) = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6718), (7378), (function-axioms) are
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | (7379) all_58_5 = e1 & op(e2, e1) = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7379) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | (7380) op(e2, e1) = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5513), (7380), (function-axioms) are
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | (7381) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7381) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | (7382) all_58_8 = e1 & op(e1, e1) = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (5547),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | (5570), (6726), (6740), (7382), (function-axioms)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #381.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | (7383) all_58_14 = e1 & op(e0, e1) = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7383) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | (7384) all_58_14 = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | (7385) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7385) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | (7386) all_58_4 = e2 & op(e3, e1) = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7386) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | (7387) all_58_4 = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | (7388) op(e3, e1) = e2
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (7389) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (51), (159), (163), (245), (355),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (6726), (6731), (6740), (7199), (7389),
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | #370.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (7390) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7390) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7391) all_58_4 = e1 & op(e3, e1) = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7387), (7391) are inconsistent by sub-proof
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1766.
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7392) all_58_9 = e1 & op(e3, e0) = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7392) implies:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7393) op(e3, e0) = e1
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 201.01/33.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7394) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7394) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7395) all_58_12 = e2 & op(e0, e3) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7395) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7396) all_58_12 = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (232), (233), (234), (239),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (5520), (5549), (5556), (5562), (5570),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5574), (6717), (6718), (6726), (7199), (7384),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7387), (7388), (7396), (function-axioms) are
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #371.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7397) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7397) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7398) all_58_13 = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7399) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7399) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7400) all_58_1 = e0 & op(e3, e2) = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6731), (7400) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1410.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7401) all_58_3 = e0 & op(e2, e2) = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5520), (7401) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1395.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7402) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7402) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7403) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7403) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7404) all_58_7 = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7405) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (7195), (7404), (7405),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #363.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7406) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7406) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7407) all_58_8 = e2 & op(e1, e1) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7407) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7408) all_58_8 = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (160), (226),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (245), (355), (5551), (6726),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7199), (7404), (7408), (function-axioms) are
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #585.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7409) all_58_11 = e2 & op(e1, e0) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (5570), (6703), (6723), (6737), (7393),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7404), (7409), (function-axioms) are inconsistent
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #361.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7410) all_58_13 = e0 & op(e0, e2) = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7398), (7410) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1547.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7411) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7411) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7412) all_58_14 = e2 & op(e0, e1) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7412) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7413) all_58_14 = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7384), (7413) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1371.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7414) all_58_15 = e2 & op(e0, e0) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (240),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (6703), (6706), (6717),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722), (6731), (7199), (7414), (function-axioms)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #364.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | (7415) all_58_5 = e2 & op(e2, e1) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7415) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | (7416) all_58_5 = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (7417) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7417) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7418) all_58_4 = e0 & op(e3, e1) = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7418) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7419) all_58_4 = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7420) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (51), (159), (163), (245), (355),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (6726), (6731), (6740), (7199), (7420),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #370.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7421) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7421) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7422) all_58_4 = e1 & op(e3, e1) = e1
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7422) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7423) all_58_4 = e1
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7419), (7423) imply:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7424) e1 = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7424) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7425) e1 = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7384), (7425) imply:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7426) all_58_14 = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (228), (229), (5570),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7419), (7426) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1892.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7427) all_58_9 = e1 & op(e3, e0) = e1
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7427) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7428) all_58_9 = e1
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7429) op(e3, e0) = e1
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7430) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7430) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7431) all_58_12 = e2 & op(e0, e3) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7431) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7432) all_58_12 = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (159),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (168), (169), (217), (218), (221),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (228), (229), (231), (232),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (237), (239), (240), (241),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (245), (246), (355), (356), (5520),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547), (5548), (5549), (5556), (5561), (5562),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (5574), (6703), (6706), (6717), (6718),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722), (6726), (6731), (6740), (7199), (7384),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7416), (7419), (7428), (7432), (function-axioms)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #368.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7433) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7433) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7434) all_58_13 = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7435) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7435) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7436) all_58_1 = e0 & op(e3, e2) = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6731), (7436) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1410.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7437) all_58_3 = e0 & op(e2, e2) = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7437) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7438) all_58_3 = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (7438) imply:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7439) e1 = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7384), (7439) imply:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7440) all_58_14 = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (228), (229), (5570),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7419), (7440) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1892.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7441) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7441) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7442) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7442) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7443) all_58_7 = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7444) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (7195), (7443), (7444),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #363.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7445) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7445) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7446) all_58_8 = e2 & op(e1, e1) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7446) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7447) all_58_8 = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (227), (228),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (5550), (7416), (7447), (function-axioms)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #793.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7448) all_58_11 = e2 & op(e1, e0) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (5570), (6703), (6723), (6737), (7429),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7443), (7448), (function-axioms) are inconsistent
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #361.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7449) all_58_13 = e0 & op(e0, e2) = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7434), (7449) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1547.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7450) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7450) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7451) all_58_14 = e2 & op(e0, e1) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7451) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7452) all_58_14 = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (228), (5570), (7416), (7419),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7452) are inconsistent by sub-proof #1099.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7453) all_58_15 = e2 & op(e0, e0) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (240),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (6703), (6706), (6717),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722), (6731), (7199), (7453), (function-axioms)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #364.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7454) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7454) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7455) all_58_5 = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7456) op(e2, e1) = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (165), (229), (5556), (5562),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (5574), (7384), (7455), (7456),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | #462.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (7457) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7457) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7458) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5570), (7458) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1902.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7459) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7459) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7460) all_58_14 = e0
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7384), (7460) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1816.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | (7461) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7461) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | (7462) all_58_8 = e2 & op(e1, e1) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (240),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (5570), (6703), (6706),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6722), (6731), (7199), (7462), (function-axioms)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #367.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | (7463) all_58_14 = e2 & op(e0, e1) = e2
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7384), (7463) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | | #1433.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | (7464) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.01/33.35 | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (7464) gives:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | (7465) all_58_4 = e3 & op(e3, e1) = e3
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | ALPHA: (7465) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | (7466) op(e3, e1) = e3
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5548), (5556), (5561), (7466),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | #1930.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | (7467) all_58_9 = e3 & op(e3, e0) = e3
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | ALPHA: (7467) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | (7468) op(e3, e0) = e3
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (6703), (6706), (6722), (7468),
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | | #1035.
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | (7469) all_58_3 = e3 & op(e2, e2) = e3
% 201.01/33.35 | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | ALPHA: (7469) implies:
% 201.01/33.35 | | | | | | | | | | | | | | | | | | (7470) op(e2, e2) = e3
% 201.01/33.35 | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5521), (7470), (function-axioms) are
% 201.01/33.35 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 201.01/33.35 | | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | (7471) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 201.01/33.35 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 201.01/33.35 | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (5549), (6707), (7471),
% 201.01/33.35 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.35 | | | | | | | | | | | | | | | | | #1399.
% 201.01/33.35 | | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | (7472) all_58_14 = e3 & op(e0, e1) = e3
% 201.01/33.35 | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | ALPHA: (7472) implies:
% 201.01/33.35 | | | | | | | | | | | | (7473) op(e0, e1) = e3
% 201.01/33.35 | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | REF_CLOSE: (157), (5550), (7473), (function-axioms) are
% 201.01/33.35 | | | | | | | | | | | | inconsistent by sub-proof #1841.
% 201.01/33.35 | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | |
% 201.01/33.35 | | | | | | | | End of split
% 201.01/33.35 | | | | | | | |
% 201.01/33.35 | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | |
% 201.01/33.35 | | | | | | | | (7474) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 201.01/33.35 | | | | | | | |
% 201.01/33.35 | | | | | | | | REF_CLOSE: (296), (357), (395), (5540), (7474) are inconsistent
% 201.01/33.35 | | | | | | | | by sub-proof #1033.
% 201.01/33.35 | | | | | | | |
% 201.01/33.35 | | | | | | | End of split
% 201.01/33.35 | | | | | | |
% 201.01/33.35 | | | | | | Case 2:
% 201.01/33.35 | | | | | | |
% 201.01/33.35 | | | | | | | (7475) all_8_2 = e2
% 201.01/33.35 | | | | | | | (7476) op(e2, e1) = all_8_1 & $i(all_8_1) & ( ~ (all_8_1 = e0)
% 201.01/33.35 | | | | | | | | ( ~ (all_8_0 = e3) & op(e0, e1) = all_8_0 &
% 201.01/33.35 | | | | | | | $i(all_8_0)))
% 201.01/33.35 | | | | | | |
% 201.01/33.35 | | | | | | | ALPHA: (7476) implies:
% 201.01/33.35 | | | | | | | (7477) op(e2, e1) = all_8_1
% 201.01/33.35 | | | | | | | (7478) ~ (all_8_1 = e0) | ( ~ (all_8_0 = e3) & op(e0, e1) =
% 201.01/33.35 | | | | | | | all_8_0 & $i(all_8_0))
% 201.01/33.35 | | | | | | |
% 201.01/33.35 | | | | | | | COMBINE_EQS: (347), (7475) imply:
% 201.01/33.35 | | | | | | | (7479) all_4_2 = e2
% 201.01/33.35 | | | | | | |
% 201.01/33.35 | | | | | | | COMBINE_EQS: (318), (7479) imply:
% 201.01/33.35 | | | | | | | (7480) all_48_2 = e2
% 201.01/33.35 | | | | | | |
% 201.01/33.35 | | | | | | | COMBINE_EQS: (266), (7479) imply:
% 201.01/33.35 | | | | | | | (7481) all_56_14 = e2
% 201.01/33.35 | | | | | | |
% 201.01/33.35 | | | | | | | REDUCE: (372), (7479) imply:
% 201.01/33.35 | | | | | | | (7482) ~ (all_52_2 = e2)
% 201.01/33.35 | | | | | | |
% 201.01/33.35 | | | | | | | REDUCE: (385), (7479) imply:
% 201.01/33.35 | | | | | | | (7483) ~ (all_52_8 = e2)
% 201.01/33.35 | | | | | | |
% 201.01/33.35 | | | | | | | REDUCE: (386), (7479) imply:
% 201.01/33.35 | | | | | | | (7484) ~ (all_52_9 = e2)
% 201.01/33.35 | | | | | | |
% 201.01/33.35 | | | | | | | REDUCE: (390), (7479) imply:
% 201.01/33.35 | | | | | | | (7485) ~ (all_52_14 = e2)
% 201.01/33.35 | | | | | | |
% 201.01/33.35 | | | | | | | REDUCE: (5537), (7479) imply:
% 201.01/33.35 | | | | | | | (7486) ~ (all_6_1 = e2)
% 201.01/33.35 | | | | | | |
% 201.01/33.35 | | | | | | | BETA: splitting (103) gives:
% 201.01/33.35 | | | | | | |
% 201.01/33.35 | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | |
% 201.01/33.35 | | | | | | | | (7487) ~ (all_48_2 = e2)
% 201.01/33.35 | | | | | | | |
% 201.01/33.35 | | | | | | | | REDUCE: (7480), (7487) imply:
% 201.01/33.35 | | | | | | | | (7488) $false
% 201.01/33.35 | | | | | | | |
% 201.01/33.35 | | | | | | | | CLOSE: (7488) is inconsistent.
% 201.01/33.35 | | | | | | | |
% 201.01/33.35 | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | |
% 201.01/33.35 | | | | | | | | (7489) op(e2, e1) = all_48_1 & $i(all_48_1) & ( ~ (all_48_1 =
% 201.01/33.35 | | | | | | | | e3) | ( ~ (all_48_0 = e0) & op(e3, e1) = all_48_0
% 201.01/33.35 | | | | | | | | & $i(all_48_0)))
% 201.01/33.35 | | | | | | | |
% 201.01/33.35 | | | | | | | | ALPHA: (7489) implies:
% 201.01/33.35 | | | | | | | | (7490) op(e2, e1) = all_48_1
% 201.01/33.35 | | | | | | | | (7491) ~ (all_48_1 = e3) | ( ~ (all_48_0 = e0) & op(e3, e1)
% 201.01/33.35 | | | | | | | | = all_48_0 & $i(all_48_0))
% 201.01/33.35 | | | | | | | |
% 201.01/33.35 | | | | | | | | BETA: splitting (225) gives:
% 201.01/33.35 | | | | | | | |
% 201.01/33.35 | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | |
% 201.01/33.35 | | | | | | | | | (7492) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2 &
% 201.01/33.35 | | | | | | | | | op(e1, e2) = e2)
% 201.01/33.35 | | | | | | | | |
% 201.01/33.35 | | | | | | | | | BETA: splitting (7492) gives:
% 201.01/33.35 | | | | | | | | |
% 201.01/33.35 | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | (7493) all_58_6 = e2 & op(e1, e3) = e2
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | ALPHA: (7493) implies:
% 201.01/33.35 | | | | | | | | | | (7494) op(e1, e3) = e2
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | REF_CLOSE: (163), (7482), (7494), (function-axioms) are
% 201.01/33.35 | | | | | | | | | | inconsistent by sub-proof #1271.
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | (7495) all_58_7 = e2 & op(e1, e2) = e2
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | REF_CLOSE: (5505), (7486), (7495), (function-axioms) are
% 201.01/33.35 | | | | | | | | | | inconsistent by sub-proof #360.
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | End of split
% 201.01/33.35 | | | | | | | | |
% 201.01/33.35 | | | | | | | | Case 2:
% 201.01/33.35 | | | | | | | | |
% 201.01/33.35 | | | | | | | | | (7496) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 = e2
% 201.01/33.35 | | | | | | | | | & op(e1, e0) = e2)
% 201.01/33.35 | | | | | | | | |
% 201.01/33.35 | | | | | | | | | BETA: splitting (7496) gives:
% 201.01/33.35 | | | | | | | | |
% 201.01/33.35 | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | (7497) all_58_8 = e2 & op(e1, e1) = e2
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | ALPHA: (7497) implies:
% 201.01/33.35 | | | | | | | | | | (7498) all_58_8 = e2
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 201.01/33.35 | | | | | | | | | | all_8_1, e1, e2, simplifying with (165), (7477)
% 201.01/33.35 | | | | | | | | | | gives:
% 201.01/33.35 | | | | | | | | | | (7499) all_52_9 = all_8_1
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 201.01/33.35 | | | | | | | | | | all_48_1, e1, e2, simplifying with (165), (7490)
% 201.01/33.35 | | | | | | | | | | gives:
% 201.01/33.35 | | | | | | | | | | (7500) all_52_9 = all_48_1
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | COMBINE_EQS: (7499), (7500) imply:
% 201.01/33.35 | | | | | | | | | | (7501) all_48_1 = all_8_1
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | SIMP: (7501) implies:
% 201.01/33.35 | | | | | | | | | | (7502) all_48_1 = all_8_1
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | COMBINE_EQS: (270), (7499) imply:
% 201.01/33.35 | | | | | | | | | | (7503) all_54_6 = all_8_1
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | REDUCE: (146), (7499) imply:
% 201.01/33.35 | | | | | | | | | | (7504) ~ (all_52_1 = all_8_1)
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | REDUCE: (123), (7499) imply:
% 201.01/33.35 | | | | | | | | | | (7505) ~ (all_52_8 = all_8_1)
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | REDUCE: (118), (7499) imply:
% 201.01/33.35 | | | | | | | | | | (7506) ~ (all_52_11 = all_8_1)
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | SIMP: (7506) implies:
% 201.01/33.35 | | | | | | | | | | (7507) ~ (all_52_11 = all_8_1)
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | REDUCE: (117), (7499) imply:
% 201.01/33.35 | | | | | | | | | | (7508) ~ (all_52_13 = all_8_1)
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | SIMP: (7508) implies:
% 201.01/33.35 | | | | | | | | | | (7509) ~ (all_52_13 = all_8_1)
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | REDUCE: (7484), (7499) imply:
% 201.01/33.35 | | | | | | | | | | (7510) ~ (all_8_1 = e2)
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | REDUCE: (5513), (7499) imply:
% 201.01/33.35 | | | | | | | | | | (7511) ~ (all_8_1 = e1)
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | BETA: splitting (46) gives:
% 201.01/33.35 | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | (7512) ~ (all_10_2 = e3)
% 201.01/33.35 | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | BETA: splitting (52) gives:
% 201.01/33.35 | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | (7513) ~ (all_14_2 = e2)
% 201.01/33.35 | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | BETA: splitting (73) gives:
% 201.01/33.35 | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | (7514) ~ (all_28_2 = e1)
% 201.01/33.35 | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | REDUCE: (334), (7514) imply:
% 201.01/33.35 | | | | | | | | | | | | | (7515) ~ (all_14_2 = e1)
% 201.01/33.35 | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | BETA: splitting (204) gives:
% 201.01/33.35 | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | Case 1:
% 201.01/33.35 | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | (7516) all_54_0 = e3
% 201.01/33.35 | | | | | | | | | | | | | |
% 201.01/33.35 | | | | | | | | | | | | | | COMBINE_EQS: (292), (7516) imply:
% 201.01/33.36 | | | | | | | | | | | | | | (7517) all_14_2 = e3
% 201.01/33.36 | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | REDUCE: (355), (7517) imply:
% 201.01/33.36 | | | | | | | | | | | | | | (7518) $false
% 201.01/33.36 | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | CLOSE: (7518) is inconsistent.
% 201.01/33.36 | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | (7519) ~ (all_54_0 = e3)
% 201.01/33.36 | | | | | | | | | | | | | | (7520) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 201.01/33.36 | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | BETA: splitting (7520) gives:
% 201.01/33.36 | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | (7521) all_54_0 = e2
% 201.01/33.36 | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | COMBINE_EQS: (292), (7521) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | (7522) all_14_2 = e2
% 201.01/33.36 | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | REDUCE: (7513), (7522) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | (7523) $false
% 201.01/33.36 | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | CLOSE: (7523) is inconsistent.
% 201.01/33.36 | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | (7524) ~ (all_54_0 = e2)
% 201.01/33.36 | | | | | | | | | | | | | | | (7525) all_54_0 = e1 | all_54_0 = e0
% 201.01/33.36 | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | BETA: splitting (7525) gives:
% 201.01/33.36 | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | (7526) all_54_0 = e1
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (7526) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | (7527) all_14_2 = e1
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | REDUCE: (7515), (7527) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | (7528) $false
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | CLOSE: (7528) is inconsistent.
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | (7529) all_54_0 = e0
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (7529) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | (7530) all_14_2 = e0
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | REDUCE: (366), (7530) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | (7531) ~ (all_52_4 = e0)
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | REDUCE: (368), (7530) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | (7532) ~ (all_52_8 = e0)
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | REDUCE: (370), (7530) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | (7533) ~ (all_52_12 = e0)
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | REDUCE: (355), (7530) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | (7534) ~ (e3 = e0)
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | REDUCE: (7513), (7530) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | (7535) ~ (e2 = e0)
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | REDUCE: (7515), (7530) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | (7536) ~ (e1 = e0)
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | REDUCE: (51), (7530) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | (7537) op(e3, e3) = e0
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | (7538) ~ (all_30_2 = e2)
% 201.01/33.36 | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | REDUCE: (328), (7538) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | (7539) ~ (all_10_2 = e2)
% 201.01/33.36 | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | (7540) all_54_15 = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (7540) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | (7541) all_10_2 = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | REDUCE: (7512), (7541) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | (7542) $false
% 201.01/33.36 | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | CLOSE: (7542) is inconsistent.
% 201.01/33.36 | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | (7543) ~ (all_54_15 = e3)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | (7544) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | BETA: splitting (7544) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | (7545) all_54_15 = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (7545) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | (7546) all_10_2 = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | REDUCE: (7539), (7546) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | (7547) $false
% 201.01/33.36 | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | CLOSE: (7547) is inconsistent.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | (7548) ~ (all_54_15 = e2)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | (7549) all_54_15 = e1 | all_54_15 = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (7549) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | (7550) all_54_15 = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (7550) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | (7551) all_10_2 = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (7551) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | (7552) all_40_2 = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (7551) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | (7553) ~ (all_52_14 = e1)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (7512), (7551) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | (7554) ~ (e3 = e1)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (7551) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | (7555) op(e0, e0) = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | (7556) ~ (all_40_2 = e1)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7552), (7556) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | (7557) $false
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | CLOSE: (7557) is inconsistent.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | (7558) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | e0) = all_40_0 & $i(all_40_0)))
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7558) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | (7559) op(e1, e0) = all_40_1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | (7560) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (235), (237),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | (238), (356), (5505), (5520), (5521), (7486),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | (7537), (7560), (function-axioms) are inconsistent
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #356.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | (7561) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7561) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | (7562) all_58_4 = e1 & op(e3, e1) = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7562) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | (7563) all_58_4 = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | (7564) op(e3, e1) = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | (7565) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7565) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | (7566) all_58_6 = e1 & op(e1, e3) = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7566) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | (7567) all_58_6 = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | (7568) op(e1, e3) = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (7569) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7569) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7570) all_58_9 = e1 & op(e3, e0) = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7570) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7571) all_58_9 = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (163), (165),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (227), (228), (230), (241),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (244), (245), (246), (358), (5513),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7482), (7498), (7537), (7555), (7571),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | #351.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7572) all_58_10 = e1 & op(e2, e0) = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5514), (7572), (function-axioms) are
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #430.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (7573) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7573) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7574) all_58_11 = e1 & op(e1, e0) = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7574) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7575) all_58_11 = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (216),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (242),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (358), (7485), (7498), (7537),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7555), (7563), (7567), (7575), (function-axioms)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #344.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7576) all_58_15 = e1 & op(e0, e0) = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_1, e0, e1, simplifying with (160), (7559)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7577) all_52_14 = all_40_1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (7568) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7578) all_52_2 = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (7564) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7579) all_52_8 = e1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (7577) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580) all_54_11 = all_40_1
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5531), (7578) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7581) ~ (all_6_1 = e1)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (7577) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7582) ~ (all_52_13 = all_40_1)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (7577) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7583) ~ (all_40_1 = all_6_1)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7485), (7577) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7584) ~ (all_40_1 = e2)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7553), (7577) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7585) ~ (all_40_1 = e1)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7586) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7586) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7587) all_58_12 = e2 & op(e0, e3) = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7587) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7588) all_58_12 = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7589) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7589) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7590) all_58_9 = e2 & op(e3, e0) = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7590) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7591) all_58_9 = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7592) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7592) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7593) all_58_0 = e3 & op(e3, e3) = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7593) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7594) op(e3, e3) = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7537), (7594), (function-axioms) are
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7595) all_58_1 = e3 & op(e3, e2) = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7595) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7596) all_58_1 = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7597) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7597) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7598) all_58_1 = e2 & op(e3, e2) = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7596), (7598) are inconsistent by sub-proof
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1918.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7599) all_58_3 = e2 & op(e2, e2) = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (7599), (function-axioms) are
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7600) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7600) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7601) all_58_7 = e2 & op(e1, e2) = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5505), (7486), (7601), (function-axioms) are
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #360.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7602) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7602) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7603) all_58_13 = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (160),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (193), (195), (214),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (222), (223), (224),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (230), (233), (234),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (238), (239), (241), (242), (243), (244),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (356), (358), (5505), (5506),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5508), (5511), (5513), (5520), (5521), (5530),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5538), (7477), (7481), (7482), (7485), (7486),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498), (7510), (7537), (7555), (7563), (7567),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580), (7582), (7583), (7584), (7585), (7591),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7603), (function-axioms) are inconsistent by
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #330.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7604) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (7563), (7591), (7604) are inconsistent
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #331.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7605) all_58_10 = e2 & op(e2, e0) = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7605) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7606) all_58_10 = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7607) op(e2, e0) = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7608) all_58_15 = e0 & op(e0, e0) = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (7608), (function-axioms) are
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7609) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7609) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7610) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7611) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7612) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7612) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7613) all_58_0 = e3 & op(e3, e3) = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7613) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7614) op(e3, e3) = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7537), (7614), (function-axioms) are
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7615) all_58_1 = e3 & op(e3, e2) = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7615) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7616) all_58_1 = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (163), (227),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (235), (237), (238), (241),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (244), (245), (246), (356), (5505),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520), (5521), (7482), (7486), (7498), (7537),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7563), (7606), (7610), (7616), (function-axioms)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #325.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7617) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7617) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7618) all_58_4 = e3 & op(e3, e1) = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7618) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7619) all_58_4 = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7563), (7619) are inconsistent by sub-proof
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #981.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7620) all_58_9 = e3 & op(e3, e0) = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7620) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7621) all_58_9 = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7622) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7622) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7623) all_58_0 = e3 & op(e3, e3) = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7623) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7624) op(e3, e3) = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7537), (7624), (function-axioms) are
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7625) all_58_2 = e3 & op(e2, e3) = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7625) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7626) all_58_2 = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7627) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7627) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7628) all_58_6 = e3 & op(e1, e3) = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7628) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7629) all_58_6 = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (239), (241), (7588),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7626), (7629), (function-axioms) are inconsistent
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #580.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7630) all_58_7 = e3 & op(e1, e2) = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7630) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7631) op(e1, e2) = e3
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7632) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7632) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7633) all_58_6 = e0 & op(e1, e3) = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7633) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7634) all_58_6 = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (241), (243), (7537),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7626), (7634), (function-axioms) are inconsistent
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1067.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7635) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7635) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7636) op(e1, e2) = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (162), (163), (214), (5508), (5511),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7477), (7481), (7482), (7485), (7510), (7631),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7636), (function-axioms) are inconsistent by
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #339.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7637) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7637) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7638) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (7482), (7498), (7537), (7588), (7638),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #324.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7639) all_58_11 = e0 & op(e1, e0) = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7639) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7640) all_58_11 = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7641) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7641) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7642) all_58_1 = e2 & op(e3, e2) = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7642) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7643) all_58_1 = e2
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7644) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7644) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7645) all_58_2 = e0 & op(e2, e3) = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7645) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7646) all_58_2 = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (7482), (7537), (7646), (function-axioms)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #921.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7647) all_58_3 = e0 & op(e2, e2) = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7647) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7648) all_58_3 = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (7648) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7649) e1 = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7567), (7649) imply:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7650) all_58_6 = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498), (7640), (7650) are inconsistent by
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1012.
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7651) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7651) gives:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7652) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7652) implies:
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7653) op(e2, e1) = e0
% 201.01/33.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (162), (163), (214), (5508), (5511), (7477),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7481), (7482), (7510), (7607), (7631), (7653),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #322.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7654) all_58_10 = e0 & op(e2, e0) = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7654) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7655) all_58_10 = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7606), (7655) imply:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7656) e2 = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (7537),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7621), (7643), (7656), (function-axioms) are
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1364.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7657) all_58_3 = e2 & op(e2, e2) = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (7657), (function-axioms) are
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7658) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7658) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7659) all_58_7 = e2 & op(e1, e2) = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7659) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7660) all_58_7 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (224), (226), (7498),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7640), (7660) are inconsistent by sub-proof #975.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7661) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7661) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7662) all_58_13 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (221),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (230), (231), (241), (242), (243), (244),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (5520), (7482), (7485), (7498), (7537),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7555), (7563), (7606), (7610), (7611), (7621),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7662), (function-axioms) are inconsistent by
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #319.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7663) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7663) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7664) all_58_8 = e3 & op(e1, e1) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7664) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7665) all_58_8 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7498), (7665) are inconsistent by sub-proof
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1897.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7666) all_58_11 = e3 & op(e1, e0) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7666) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7667) all_58_11 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7668) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7668) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7669) all_58_6 = e0 & op(e1, e3) = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7669) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7670) all_58_6 = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (241), (243), (7537),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7626), (7670), (function-axioms) are inconsistent
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1067.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7671) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (160),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (193), (195), (214),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (222), (223), (224),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (230), (233), (234),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (356), (358), (5505), (5506), (5508),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511), (5513), (5521), (5530), (5538), (7477),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7481), (7482), (7485), (7486), (7498), (7510),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7537), (7555), (7563), (7567), (7580), (7582),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7583), (7584), (7585), (7671), (function-axioms)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #332.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7672) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7672) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7673) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (7482), (7498), (7537), (7588), (7673),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #324.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7674) all_58_11 = e0 & op(e1, e0) = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7674) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7675) all_58_11 = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7667), (7675) imply:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7676) e3 = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7626), (7676) imply:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7677) all_58_2 = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (7482), (7537), (7677), (function-axioms)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #921.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7678) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7678) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7679) all_58_6 = e3 & op(e1, e3) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7679) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7680) all_58_6 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7567), (7680) imply:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7681) e3 = e1
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7681) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7682) e3 = e1
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7621), (7682) imply:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7683) all_58_9 = e1
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (222), (7555), (7606),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7611), (7683), (function-axioms) are inconsistent
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #612.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7684) all_58_12 = e3 & op(e0, e3) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7684) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7685) all_58_12 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7588), (7685) are inconsistent by sub-proof
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1405.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7686) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (7485), (7555), (7686),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #953.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7687) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7687) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7688) all_58_13 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7689) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7689) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7690) all_58_9 = e2 & op(e3, e0) = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7690) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7691) all_58_9 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (160),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (193), (195), (214),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (222), (223), (224),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (230), (233), (234),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (238), (239), (241), (242), (243), (244),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (356), (358), (5505), (5506),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5508), (5511), (5513), (5520), (5521), (5530),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5538), (7477), (7481), (7482), (7485), (7486),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498), (7510), (7537), (7555), (7563), (7567),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580), (7582), (7583), (7584), (7585), (7688),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7691), (function-axioms) are inconsistent by
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #330.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7692) all_58_10 = e2 & op(e2, e0) = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7692) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7693) all_58_10 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7694) all_58_15 = e0 & op(e0, e0) = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (7694), (function-axioms) are
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7695) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7695) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7696) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7697) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7698) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7698) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7699) all_58_0 = e3 & op(e3, e3) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7699) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7700) op(e3, e3) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7537), (7700), (function-axioms) are
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7701) all_58_1 = e3 & op(e3, e2) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7701) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7702) all_58_1 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7703) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (242),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (5520), (7482), (7537),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7563), (7702), (7703), (function-axioms) are
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #329.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7704) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7704) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7705) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7705) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7706) all_58_5 = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (227), (228),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (235), (238), (241), (242), (243), (244),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (5520), (5521), (7482), (7498),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7537), (7563), (7688), (7696), (7702), (7706),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #327.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7707) all_58_10 = e0 & op(e2, e0) = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7707) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7708) all_58_10 = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7693), (7708) are inconsistent by sub-proof
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1886.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7709) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7709) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7710) all_58_4 = e3 & op(e3, e1) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7710) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7711) all_58_4 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7563), (7711) are inconsistent by sub-proof
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #981.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7712) all_58_9 = e3 & op(e3, e0) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7712) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7713) all_58_9 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (221),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (230), (231), (241), (242), (243), (244),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (5520), (7482), (7485), (7498), (7537),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7555), (7563), (7688), (7693), (7696), (7697),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7713), (function-axioms) are inconsistent by
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #319.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7714) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (7485), (7555), (7714),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #953.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7715) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7715) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7716) all_58_14 = e2 & op(e0, e1) = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7716) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7717) all_58_14 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7718) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7718) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7719) all_58_9 = e2 & op(e3, e0) = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7719) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7720) all_58_9 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7721) all_58_15 = e0 & op(e0, e0) = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (7721), (function-axioms) are
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7722) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7722) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7723) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7724) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7724) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7725) all_58_0 = e3 & op(e3, e3) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7725) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7726) op(e3, e3) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7537), (7726), (function-axioms) are
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7727) all_58_1 = e3 & op(e3, e2) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7727) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7728) all_58_1 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7729) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7729) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7730) all_58_4 = e3 & op(e3, e1) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7730) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7731) all_58_4 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (227), (228), (7498),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7717), (7731) are inconsistent by sub-proof #855.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7732) all_58_5 = e3 & op(e2, e1) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7732) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7733) all_58_5 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7734) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (242),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (245), (5520), (7482), (7537), (7563),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7720), (7728), (7734), (function-axioms) are
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #384.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7735) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7735) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7736) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7737) all_58_5 = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (163), (227),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (235), (237), (238), (241), (242),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (356), (5505), (5520),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5521), (7482), (7486), (7498), (7537), (7563),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7723), (7728), (7737), (function-axioms) are
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #326.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7738) all_58_10 = e0 & op(e2, e0) = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7738) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7739) all_58_10 = e0
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7740) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7740) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7741) all_58_2 = e2 & op(e2, e3) = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7741) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7742) all_58_2 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7743) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (7537), (7742), (7743),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #318.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7744) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7744) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7745) all_58_6 = e3 & op(e1, e3) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7745) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7746) all_58_6 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7567), (7746) imply:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7747) e3 = e1
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7733), (7747) imply:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7748) all_58_5 = e1
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (227), (230), (7498),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7563), (7748) are inconsistent by sub-proof #602.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7749) all_58_12 = e3 & op(e0, e3) = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7749) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7750) all_58_12 = e3
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7751) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7751) gives:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7752) all_58_1 = e2 & op(e3, e2) = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7752) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7753) all_58_1 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7728), (7753) imply:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7754) e3 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7750), (7754) imply:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7755) all_58_12 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7733), (7754) imply:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7756) all_58_5 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (169), (227),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (241), (243), (245), (7482), (7498),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7532), (7537), (7755), (7756), (function-axioms)
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #691.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7757) all_58_3 = e2 & op(e2, e2) = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7757) implies:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7758) all_58_3 = e2
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (7733), (7739), (7742),
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7758) are inconsistent by sub-proof #545.
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7759) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7759) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7760) all_58_7 = e2 & op(e1, e2) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7760) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7761) all_58_7 = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (223), (224),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (241), (243), (245), (7482), (7498),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7537), (7750), (7761), (function-axioms) are
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #730.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7762) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7762) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7763) all_58_13 = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (160),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (193), (195), (214),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (222), (223), (224),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (230), (233), (234),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (238), (239), (241), (242), (243), (244),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (356), (358), (5505), (5506),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5508), (5511), (5513), (5520), (5521), (5530),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5538), (7477), (7481), (7482), (7485), (7486),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498), (7510), (7537), (7555), (7563), (7567),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580), (7582), (7583), (7584), (7585), (7720),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7763), (function-axioms) are inconsistent by
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #330.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7764) all_58_3 = e2 & op(e2, e2) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (7764), (function-axioms) are
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7765) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7765) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7766) all_58_5 = e2 & op(e2, e1) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7766) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7767) op(e2, e1) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7477), (7510), (7767), (function-axioms) are
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #622.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7768) all_58_10 = e2 & op(e2, e0) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7768) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7769) all_58_10 = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (163), (227),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (235), (237), (238), (241),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (244), (245), (246), (356), (5505),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520), (5521), (7482), (7486), (7498), (7537),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7563), (7723), (7728), (7769), (function-axioms)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #325.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7770) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7498), (7717), (7770) are inconsistent by
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #316.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7771) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7771) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7772) all_58_4 = e3 & op(e3, e1) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7772) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7773) all_58_4 = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (227), (228), (7498),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7717), (7773) are inconsistent by sub-proof #855.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7774) all_58_9 = e3 & op(e3, e0) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7774) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7775) all_58_9 = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7720), (7775) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1865.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7776) all_58_10 = e2 & op(e2, e0) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7776) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7777) all_58_10 = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7778) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (5520), (7482), (7537), (7778),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #321.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7779) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7779) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7780) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (230),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498), (7717), (7780) are inconsistent by
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #315.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7781) all_58_10 = e0 & op(e2, e0) = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7781) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7782) all_58_10 = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7777), (7782) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1886.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7783) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (7485), (7555), (7783),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #953.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7784) all_58_15 = e2 & op(e0, e0) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7784) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7785) op(e0, e0) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7555), (7785), (function-axioms) are
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | (7786) all_58_7 = e1 & op(e1, e2) = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7786) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | (7787) op(e1, e2) = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5511), (7787), (function-axioms) are
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | (7788) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7788) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | (7789) all_58_8 = e1 & op(e1, e1) = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7498), (7789) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | #950.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | (7790) all_58_11 = e1 & op(e1, e0) = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7790) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | (7791) all_58_11 = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7792) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7792) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7793) all_58_6 = e0 & op(e1, e3) = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7793) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7794) all_58_6 = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7795) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7795) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7796) all_58_6 = e3 & op(e1, e3) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7796) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7797) all_58_6 = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7794), (7797) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1533.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7798) all_58_7 = e3 & op(e1, e2) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7798) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7799) all_58_7 = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7800) op(e1, e2) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7801) all_58_15 = e0 & op(e0, e0) = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (7801), (function-axioms) are
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7802) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7802) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7803) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7804) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7804) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7805) all_58_1 = e0 & op(e3, e2) = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7805) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7806) all_58_1 = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (230),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (246), (7498), (7537), (7806),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #328.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7807) all_58_3 = e0 & op(e2, e2) = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7807) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7808) all_58_3 = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (7808) imply:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7809) e1 = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7791), (7809) imply:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7810) all_58_11 = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498), (7794), (7810) are inconsistent by
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1012.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7811) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7811) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7812) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7812) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7813) op(e1, e2) = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (162), (163), (214), (5508), (5511),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7477), (7481), (7482), (7485), (7510), (7800),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7813), (function-axioms) are inconsistent by
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #339.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7814) all_58_13 = e0 & op(e0, e2) = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7814) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7815) all_58_13 = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7816) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7816) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7817) all_58_1 = e2 & op(e3, e2) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7817) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7818) all_58_1 = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7819) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (5509), (7537), (7819),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #444.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7820) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7820) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7821) all_58_6 = e1 & op(e1, e3) = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7821) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7822) all_58_6 = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (216),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (242),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (358), (7485), (7498), (7537),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7555), (7563), (7791), (7822), (function-axioms)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #344.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7823) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7823) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7824) all_58_12 = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7825) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7825) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7826) all_58_0 = e3 & op(e3, e3) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7826) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7827) op(e3, e3) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7537), (7827), (function-axioms) are
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7828) all_58_1 = e3 & op(e3, e2) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7828) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7829) all_58_1 = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7818), (7829) imply:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7830) e3 = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7830) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7831) e3 = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7799), (7831) imply:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7832) all_58_7 = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (241),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (245), (7498), (7537), (7794), (7824),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7832), (function-axioms) are inconsistent by
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #734.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7833) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7833) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7834) all_58_4 = e3 & op(e3, e1) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7834) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7835) all_58_4 = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7563), (7835) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #981.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7836) all_58_9 = e3 & op(e3, e0) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7836) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7837) all_58_9 = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (7555), (7791),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7803), (7837), (function-axioms) are inconsistent
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1297.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7838) all_58_3 = e2 & op(e2, e2) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (7838), (function-axioms) are
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7839) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5505), (7486), (7815), (7839),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #314.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7840) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7840) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7841) all_58_8 = e3 & op(e1, e1) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7498), (7841) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1005.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7842) all_58_11 = e3 & op(e1, e0) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7791), (7842) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #617.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7843) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7843) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7844) all_58_7 = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7845) op(e1, e2) = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7846) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7846) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7847) all_58_6 = e3 & op(e1, e3) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7847) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7848) all_58_6 = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7849) all_58_15 = e0 & op(e0, e0) = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (7849), (function-axioms) are
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7850) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7850) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7851) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7852) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7852) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7853) all_58_9 = e0 & op(e3, e0) = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (216),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (358), (7485), (7555), (7791),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7853), (function-axioms) are inconsistent by
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #349.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7854) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7854) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7855) all_58_10 = e0 & op(e2, e0) = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7855) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7856) all_58_10 = e0
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7857) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7857) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7858) all_58_2 = e2 & op(e2, e3) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7858) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859) all_58_2 = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7860) op(e2, e3) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7861) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7537), (7860), (7861),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #736.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7862) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7862) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7863) all_58_6 = e1 & op(e1, e3) = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7863) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7864) all_58_6 = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (216),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (242),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (358), (7485), (7498), (7537),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7555), (7563), (7791), (7856), (7864),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #345.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7865) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7865) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7866) all_58_12 = e1
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7867) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7867) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7868) all_58_12 = e2 & op(e0, e3) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7866), (7868) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1760.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7869) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7869) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7870) all_58_13 = e2
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7871) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7871) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7872) all_58_12 = e3 & op(e0, e3) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7872) implies:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7873) all_58_12 = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (243), (245), (7537),
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7848), (7866), (7873), (function-axioms) are
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #311.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7874) all_58_13 = e3 & op(e0, e2) = e3
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7870), (7874) are inconsistent by sub-proof
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1838.
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7875) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7875) gives:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7876) all_58_14 = e3 & op(e0, e1) = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7876) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7877) all_58_14 = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (7482), (7537), (7851), (7870), (7877),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #320.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7878) all_58_15 = e3 & op(e0, e0) = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7878) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7879) op(e0, e0) = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7555), (7879), (function-axioms) are
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7880) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7880) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7881) all_58_14 = e2 & op(e0, e1) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7881) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7882) all_58_14 = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7883) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7883) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7884) all_58_12 = e3 & op(e0, e3) = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7884) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7885) all_58_12 = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (243), (245), (7537),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7848), (7866), (7885), (function-axioms) are
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #311.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7886) all_58_13 = e3 & op(e0, e2) = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7886) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7887) op(e0, e2) = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7851) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7888) all_58_12 = e0 & op(e0, e3) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7888) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7889) all_58_12 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (7482), (7537), (7889), (function-axioms)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #918.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7890) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7890) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7891) all_58_13 = e0 & op(e0, e2) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7891) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7892) op(e0, e2) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7887), (7892), (function-axioms) are
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1584.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7893) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7893) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7894) all_58_14 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7882), (7894) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7895) e2 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (7482), (7537), (7859), (7895),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #712.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7896) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (7555), (7882), (7896),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #797.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7897) all_58_15 = e2 & op(e0, e0) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7897) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7898) op(e0, e0) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7555), (7898), (function-axioms) are
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7899) all_58_3 = e2 & op(e2, e2) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (7899), (function-axioms) are
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7900) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7900) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7901) all_58_5 = e2 & op(e2, e1) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7901) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7902) op(e2, e1) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7477), (7510), (7902), (function-axioms) are
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #622.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7903) all_58_10 = e2 & op(e2, e0) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7903) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7904) all_58_10 = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (221),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (358), (7555), (7791), (7904),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #616.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7905) all_58_11 = e0 & op(e1, e0) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7905) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7906) all_58_11 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (224), (7498), (7844), (7848),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7906) are inconsistent by sub-proof #990.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7907) all_58_7 = e3 & op(e1, e2) = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7907) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7908) op(e1, e2) = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (162), (163), (214), (5508), (5511),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7477), (7481), (7482), (7485), (7510), (7845),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7908), (function-axioms) are inconsistent by
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #339.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7909) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7909) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7910) all_58_8 = e3 & op(e1, e1) = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7498), (7910) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1005.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7911) all_58_11 = e3 & op(e1, e0) = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7791), (7911) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #617.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7912) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7912) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7913) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7498), (7913) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7914) all_58_11 = e0 & op(e1, e0) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7791), (7914) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1298.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (7915) all_58_9 = e1 & op(e3, e0) = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7915) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (7916) all_58_9 = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (163), (165),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (227), (228), (230), (241),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (244), (245), (246), (358), (5513),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (7482), (7498), (7537), (7555), (7916),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | #351.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | (7917) all_54_15 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (7917) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | (7918) all_10_2 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (7918) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | (7919) $false
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | CLOSE: (7919) is inconsistent.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | (7920) all_30_2 = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | (7921) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 201.01/33.39 | | | | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 201.01/33.39 | | | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0)))
% 201.01/33.39 | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | ALPHA: (7921) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | (7922) op(e2, e0) = all_30_1
% 201.01/33.39 | | | | | | | | | | | | | | | | | (7923) ~ (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 201.01/33.39 | | | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0))
% 201.01/33.39 | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (7920) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | (7924) all_10_2 = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (7924) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | (7925) all_42_2 = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (7924) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | (7926) all_56_15 = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | REDUCE: (393), (7924) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | (7927) ~ (all_52_13 = e2)
% 201.01/33.39 | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | REDUCE: (7512), (7924) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | (7928) ~ (e3 = e2)
% 201.01/33.39 | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | REDUCE: (45), (7924) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | (7929) op(e0, e0) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | (7930) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.39 | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | BETA: splitting (7930) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | (7931) all_58_2 = e2 & op(e2, e3) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | ALPHA: (7931) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | (7932) all_58_2 = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | (7933) op(e2, e3) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | (7934) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7934) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | (7935) all_58_1 = e2 & op(e3, e2) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7935) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | (7936) all_58_1 = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | (7937) op(e3, e2) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | (7938) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7938) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (7939) all_58_12 = e2 & op(e0, e3) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7939) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (7940) all_58_12 = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | (7941) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (7537), (7932), (7941),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | #318.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | (7942) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7942) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7943) all_58_6 = e3 & op(e1, e3) = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7943) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7944) all_58_6 = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7945) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7945) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7946) all_58_0 = e1 & op(e3, e3) = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7946) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7947) op(e3, e3) = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (239), (7932), (7940), (7944),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7947), (function-axioms) are inconsistent by
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #680.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7948) all_58_2 = e1 & op(e2, e3) = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7948) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7949) op(e2, e3) = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7933), (7949), (function-axioms) are
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7950) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7950) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7951) all_58_6 = e1 & op(e1, e3) = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7951) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7952) all_58_6 = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7944), (7952) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1238.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7953) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7953) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7954) all_58_12 = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7940), (7954) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7955) e2 = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7955) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7956) e2 = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7936), (7956) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7957) all_58_1 = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (235), (237),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (356), (5505), (5520), (5521), (7486),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7957), (function-axioms) are inconsistent by
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #357.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7958) all_58_12 = e3 & op(e0, e3) = e3
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7940), (7958) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | #1844.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (7959) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7959) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (7960) all_58_13 = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | (7961) all_58_15 = e0 & op(e0, e0) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (7961), (function-axioms) are
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | (7962) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7962) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | (7963) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7963) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7964) all_58_12 = e0 & op(e0, e3) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7964) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7965) all_58_12 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (245), (7482), (7537), (7965), (function-axioms)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #918.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7966) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7966) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7967) all_58_13 = e0 & op(e0, e2) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7967) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7968) all_58_13 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7960), (7968) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7969) e2 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7969) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7970) e2 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7936), (7970) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7971) all_58_1 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (230),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (246), (7498), (7537), (7971),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | #328.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7972) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7972) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7973) all_58_14 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7974) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7974) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7975) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (163), (219),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (243), (245), (7482), (7512), (7537),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7960), (7963), (7975), (function-axioms) are
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #310.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7976) all_58_13 = e1 & op(e0, e2) = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7976) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7977) all_58_13 = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7960), (7977) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7978) e2 = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7978) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7979) e2 = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7936), (7979) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7980) all_58_1 = e1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (235), (238), (5520),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5521), (7960), (7980), (function-axioms) are
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #358.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7981) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7929), (7973), (7981),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1317.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | (7982) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7982) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (7983) all_58_14 = e2 & op(e0, e1) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7983) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (7984) all_58_14 = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | (7985) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7985) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7986) all_58_4 = e0 & op(e3, e1) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7532), (7986), (function-axioms) are
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #700.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7987) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (230),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7498), (7984), (7987) are inconsistent by
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #315.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | (7988) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7988) gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7989) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7989) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7990) all_58_8 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (230),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (246), (7498), (7537), (7936),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7990), (function-axioms) are inconsistent by
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #309.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7991) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7991) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7992) all_58_14 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7984), (7992) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7993) e2 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7993) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7994) e2 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7936), (7994) imply:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7995) all_58_1 = e0
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (230),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (246), (7498), (7537), (7995),
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | | #328.
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (7996) all_58_15 = e2 & op(e0, e0) = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7996) implies:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (7997) all_58_15 = e2
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (7922)
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | (7998) all_52_13 = all_30_1
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 201.01/33.39 | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (7933) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | (7999) all_52_1 = e2
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (7937) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | (8000) all_52_4 = e2
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (7998) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | (8001) all_54_7 = all_30_1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (7999) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | (8002) ~ (all_52_2 = e2)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7504), (7999) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | (8003) ~ (all_8_1 = e2)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (8000) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | (8004) ~ (all_52_12 = e2)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8004) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | (8005) ~ (all_52_12 = e2)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5532), (8000) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | (8006) ~ (all_6_1 = e2)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (7998) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | (8007) ~ (all_52_12 = all_30_1)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7509), (7998) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | (8008) ~ (all_30_1 = all_8_1)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7927), (7998) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | (8009) ~ (all_30_1 = e2)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5514), (7998) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | (8010) ~ (all_30_1 = e1)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | (8011) all_54_6 = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7503), (8011) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | (8012) all_8_1 = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8012) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | (8013) all_8_1 = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7502), (8013) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | (8014) all_48_1 = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7507), (8013) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | (8015) ~ (all_52_11 = e3)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8008), (8013) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | (8016) ~ (all_30_1 = e3)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | (8017) all_54_7 = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8001), (8016), (8017) are inconsistent by
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1079.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | (8018) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8018) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (8019) all_54_7 = e2
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8001), (8009), (8019) are inconsistent by
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1684.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (8020) all_54_7 = e1 | all_54_7 = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8021) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (5520), (7482), (7537), (8021),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | #321.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8022) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8022) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8023) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8023) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8024) op(e2, e1) = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7477), (8001), (8008), (8010), (8020), (8024),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #703.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8025) all_58_10 = e0 & op(e2, e0) = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8025) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8026) all_58_10 = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8027) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8027) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8028) all_58_4 = e3 & op(e3, e1) = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8028) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8029) all_58_4 = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8030) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7477), (7491), (8001), (8008), (8010), (8014),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8020), (8030), (function-axioms) are inconsistent
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #308.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8031) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8031) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8032) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (230),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (246), (7498), (7537), (7936),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8032), (function-axioms) are inconsistent by
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #307.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8033) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8033) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8034) all_58_14 = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (165), (228),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (237), (238), (242), (356), (5505), (5513),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520), (5521), (7486), (7498), (7537), (7936),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8029), (8034), (function-axioms) are inconsistent
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #305.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8035) all_58_5 = e3 & op(e2, e1) = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8035) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8036) all_58_5 = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8037) op(e2, e1) = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8038) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7477), (7491), (8001), (8008), (8010), (8014),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8020), (8038), (function-axioms) are inconsistent
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #308.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8039) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8039) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8040) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (230),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (246), (7498), (7537), (7936),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8040), (function-axioms) are inconsistent by
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #307.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8041) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8041) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8042) all_58_14 = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8043) op(e0, e1) = e0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8044) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8044) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8045) all_58_0 = e3 & op(e3, e3) = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8045) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8046) op(e3, e3) = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7537), (8046), (function-axioms) are
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8047) all_58_1 = e3 & op(e3, e2) = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (227), (228),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (7498), (7936), (8015), (8036), (8047),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #792.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8048) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8048) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8049) all_58_4 = e3 & op(e3, e1) = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8049) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8050) all_58_4 = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (165), (228),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (237), (238), (242), (356), (5505), (5513),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520), (5521), (7486), (7498), (7537), (7936),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8042), (8050), (function-axioms) are inconsistent
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #305.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8051) all_58_9 = e3 & op(e3, e0) = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8051) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8052) all_58_9 = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8053) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8053) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8054) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8054) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8055) all_58_12 = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8056) op(e0, e3) = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8057) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8057) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8058) all_58_4 = e1 & op(e3, e1) = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8058) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8059) all_58_4 = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8060) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8060) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8061) all_58_12 = e3 & op(e0, e3) = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8061) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8062) all_58_12 = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8055), (8062) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8063) e3 = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8036), (8063) imply:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8064) all_58_5 = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (230), (7498), (8042), (8059),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8064) are inconsistent by sub-proof #905.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8065) all_58_13 = e3 & op(e0, e2) = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8065) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8066) op(e0, e2) = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8067) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8067) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8068) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7926), (8066), (8068), (function-axioms) are
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #418.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8069) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8069) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8070) op(e0, e1) = all_56_11
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8071) all_56_11 = e3 | ( ~ (all_56_9 = e1) & op(e0, e3)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (8015), (8056), (8070), (8071),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #481.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8072) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7926), (7933), (8037), (8043), (8072),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #304.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8073) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (7512), (8015), (8073),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8074) all_58_5 = e1 & op(e2, e1) = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8074) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8075) op(e2, e1) = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5513), (8075), (function-axioms) are
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8076) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8076) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8077) all_58_8 = e1 & op(e1, e1) = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (235), (237),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (356), (5505), (5520), (5521), (7486),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498), (7936), (8077), (function-axioms) are
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #306.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8078) all_58_14 = e1 & op(e0, e1) = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (5520), (7932), (8026),
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8036), (8042), (8078) are inconsistent by
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #303.
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8079) all_58_13 = e1 & op(e0, e2) = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8079) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8080) all_58_13 = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8081) op(e0, e2) = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8082) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8082) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8083) all_58_4 = e1 & op(e3, e1) = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8083) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8084) all_58_4 = e1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8085) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8085) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8086) all_58_12 = e3 & op(e0, e3) = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8086) implies:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8087) all_58_12 = e3
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8088) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8088) gives:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8089) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8089) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8090) op(e1, e2) = all_56_7
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8091) ~ (all_56_14 = e2) | all_56_7 = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5511), (7481), (8090), (8091),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #343.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8092) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (157), (219), (242),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (7537), (7936), (7997), (8015), (8043),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8052), (8080), (8081), (8087), (8092),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1319.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8093) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7926), (7933), (8037), (8043), (8093),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #304.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8094) all_58_13 = e3 & op(e0, e2) = e3
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8094) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8095) all_58_13 = e3
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8080), (8095) imply:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8096) e3 = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8036), (8096) imply:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8097) all_58_5 = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (230), (7498), (8042), (8084),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8097) are inconsistent by sub-proof #905.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8098) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (7512), (8015), (8098),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8099) all_58_5 = e1 & op(e2, e1) = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8099) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8100) op(e2, e1) = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5513), (8100), (function-axioms) are
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8101) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8101) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8102) all_58_8 = e1 & op(e1, e1) = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (235), (237),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (356), (5505), (5520), (5521), (7486),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498), (7936), (8102), (function-axioms) are
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #306.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8103) all_58_14 = e1 & op(e0, e1) = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (5520), (7932), (8026),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8036), (8042), (8103) are inconsistent by
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #303.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8104) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8104) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8105) all_58_14 = e1 & op(e0, e1) = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (5520), (7932), (8026),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8036), (8042), (8105) are inconsistent by
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #303.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8106) all_58_15 = e1 & op(e0, e0) = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8106) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8107) op(e0, e0) = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7929), (8107), (function-axioms) are
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8108) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (7498), (8015), (8108),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #794.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | (8109) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8109) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | (8110) all_54_6 = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7503), (7510), (8110) are inconsistent by
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #946.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | (8111) all_54_6 = e1 | all_54_6 = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8111) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (8112) all_54_6 = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7503), (7511), (8112) are inconsistent by
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #930.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (8113) all_54_6 = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7503), (8113) imply:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (8114) all_8_1 = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8114) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (8115) all_8_1 = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8008), (8115) imply:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (8116) ~ (all_30_1 = e0)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8117) all_54_7 = e3
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8001), (8117) imply:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8118) all_30_1 = e3
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8118) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8119) all_30_1 = e3
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8007), (8119) imply:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8120) ~ (all_52_12 = e3)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8121) all_54_3 = e3
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (8120), (8121) are inconsistent by
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1878.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8122) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (280), (7533), (7923), (8005), (8119),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8122), (function-axioms) are inconsistent by
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #934.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8123) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8001), (8009), (8010), (8116), (8123) are
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #777.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | (8124) all_58_3 = e2 & op(e2, e2) = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (8124), (function-axioms) are
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | (8125) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8125) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | (8126) all_58_7 = e2 & op(e1, e2) = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8126) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | (8127) all_58_7 = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (223), (224),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | (226), (241), (243), (245), (7482), (7498),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | (7537), (7932), (7933), (8127), (function-axioms)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #731.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | (8128) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8128) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | (8129) all_58_13 = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | (8130) all_58_15 = e0 & op(e0, e0) = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (8130), (function-axioms) are
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | (8131) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8131) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | (8132) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8132) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | (8133) all_58_12 = e0 & op(e0, e3) = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8133) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | (8134) all_58_12 = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | (245), (7482), (7537), (8134), (function-axioms)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #918.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | (8135) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8135) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | (8136) all_58_13 = e0 & op(e0, e2) = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8136) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | (8137) all_58_13 = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8129), (8137) imply:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | (8138) e2 = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | (245), (7482), (7537), (7932), (8138),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | #712.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | (8139) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8139) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | (8140) all_58_14 = e0
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | (8141) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8141) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (8142) all_58_12 = e1 & op(e0, e3) = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (163), (219),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (243), (245), (7482), (7512), (7537),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (8129), (8132), (8142), (function-axioms) are
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #310.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (8143) all_58_13 = e1 & op(e0, e2) = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8143) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (8144) all_58_13 = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8129), (8144) are inconsistent by sub-proof
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | | #1671.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | (8145) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7929), (8140), (8145),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | | #1317.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | (8146) all_58_3 = e2 & op(e2, e2) = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (8146), (function-axioms) are
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | (8147) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.01/33.41 | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | BETA: splitting (8147) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | (8148) all_58_5 = e2 & op(e2, e1) = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | ALPHA: (8148) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | (8149) op(e2, e1) = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7477), (7510), (8149), (function-axioms) are
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #622.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | (8150) all_58_10 = e2 & op(e2, e0) = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | ALPHA: (8150) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | (8151) op(e2, e0) = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (164), (7922), (7925), (7927), (8151),
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | #1424.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | End of split
% 201.01/33.41 | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | (8152) all_28_2 = e1
% 201.01/33.41 | | | | | | | | | | | | | (8153) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 201.01/33.41 | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 201.01/33.41 | | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0)))
% 201.01/33.41 | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | ALPHA: (8153) implies:
% 201.01/33.41 | | | | | | | | | | | | | (8154) op(e1, e3) = all_28_1
% 201.01/33.41 | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | COMBINE_EQS: (334), (8152) imply:
% 201.01/33.41 | | | | | | | | | | | | | (8155) all_14_2 = e1
% 201.01/33.41 | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | SIMP: (8155) implies:
% 201.01/33.41 | | | | | | | | | | | | | (8156) all_14_2 = e1
% 201.01/33.41 | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | COMBINE_EQS: (323), (8156) imply:
% 201.01/33.41 | | | | | | | | | | | | | (8157) all_36_2 = e1
% 201.01/33.41 | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | REDUCE: (362), (8156) imply:
% 201.01/33.41 | | | | | | | | | | | | | (8158) ~ (all_52_2 = e1)
% 201.01/33.41 | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | REDUCE: (368), (8156) imply:
% 201.01/33.41 | | | | | | | | | | | | | (8159) ~ (all_52_8 = e1)
% 201.01/33.41 | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | REDUCE: (355), (8156) imply:
% 201.01/33.41 | | | | | | | | | | | | | (8160) ~ (e3 = e1)
% 201.01/33.41 | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | REDUCE: (51), (8156) imply:
% 201.01/33.41 | | | | | | | | | | | | | (8161) op(e3, e3) = e1
% 201.01/33.41 | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.01/33.41 | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | (8162) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.01/33.41 | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.01/33.41 | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5513), (8159), (8162),
% 201.01/33.41 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.41 | | | | | | | | | | | | | | #301.
% 201.01/33.41 | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | (8163) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.01/33.41 | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.01/33.41 | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | BETA: splitting (8163) gives:
% 201.01/33.41 | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | (8164) all_58_8 = e1 & op(e1, e1) = e1
% 201.01/33.41 | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | REF_CLOSE: (6), (7498), (8164) are inconsistent by sub-proof
% 201.01/33.41 | | | | | | | | | | | | | | | #950.
% 201.01/33.41 | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | (8165) all_58_14 = e1 & op(e0, e1) = e1
% 201.01/33.41 | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | ALPHA: (8165) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | (8166) all_58_14 = e1
% 201.01/33.41 | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 201.01/33.41 | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | (8167) ~ (all_36_2 = e1)
% 201.01/33.41 | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | REDUCE: (8157), (8167) imply:
% 201.01/33.41 | | | | | | | | | | | | | | | | (8168) $false
% 201.01/33.41 | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | CLOSE: (8168) is inconsistent.
% 201.01/33.41 | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | (8169) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 201.01/33.41 | | | | | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 201.01/33.41 | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 201.01/33.41 | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | ALPHA: (8169) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | (8170) op(e1, e3) = all_36_1
% 201.01/33.41 | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | (8171) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 201.01/33.41 | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (5511), (8154), (8158), (8170),
% 201.01/33.41 | | | | | | | | | | | | | | | | | (8171), (function-axioms) are inconsistent by
% 201.01/33.41 | | | | | | | | | | | | | | | | | sub-proof #300.
% 201.01/33.41 | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | (8172) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 201.01/33.41 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 201.01/33.41 | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | BETA: splitting (8172) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | (8173) all_58_8 = e1 & op(e1, e1) = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7498), (8173) are inconsistent by sub-proof
% 201.01/33.41 | | | | | | | | | | | | | | | | | | #1018.
% 201.01/33.41 | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | (8174) all_58_11 = e1 & op(e1, e0) = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | ALPHA: (8174) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | (8175) all_58_11 = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | | (8176) op(e1, e0) = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 201.01/33.41 | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (8176) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | (8177) all_52_14 = e1
% 201.01/33.41 | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | REDUCE: (5536), (8177) imply:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | (8178) ~ (all_6_1 = e1)
% 201.01/33.41 | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | (8179) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | BETA: splitting (8179) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | (8180) all_58_0 = e2 & op(e3, e3) = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | ALPHA: (8180) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | (8181) op(e3, e3) = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8161), (8181), (function-axioms) are
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | (8182) all_58_2 = e2 & op(e2, e3) = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | ALPHA: (8182) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | (8183) all_58_2 = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | (8184) op(e2, e3) = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | (8185) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8185) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | (8186) all_58_1 = e2 & op(e3, e2) = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8186) implies:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | (8187) all_58_1 = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | (8188) op(e3, e2) = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (8184) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | (8189) all_52_1 = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (8188) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | (8190) all_52_4 = e2
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7504), (8189) imply:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | (8191) ~ (all_8_1 = e2)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5532), (8190) imply:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | (8192) ~ (all_6_1 = e2)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | (8193) all_54_9 = e3
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5530), (8193) imply:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | (8194) all_6_1 = e3
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5534), (8194) imply:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | (8195) ~ (all_52_7 = e3)
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5505), (8194) imply:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | (8196) op(e1, e2) = e3
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | (8197) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8197) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | (8198) all_58_6 = e3 & op(e1, e3) = e3
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8198) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | (8199) all_58_6 = e3
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (8200) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8200) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8201) all_58_6 = e0 & op(e1, e3) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (158), (162),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (214), (219), (239), (245), (5508), (5511),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7477), (7481), (7482), (7510), (7512), (8161),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8166), (8176), (8183), (8195), (8196), (8201),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | #297.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8202) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8202) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8203) op(e1, e2) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (162), (163), (214), (5508), (5511),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7477), (7481), (7482), (7485), (7510), (8196),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8203), (function-axioms) are inconsistent by
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #339.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (8204) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8204) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8205) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7498), (8205) are inconsistent by sub-proof
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8206) all_58_11 = e0 & op(e1, e0) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8206) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8207) all_58_11 = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8175), (8207) imply:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8208) e1 = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8208) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8209) e1 = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8166), (8209) imply:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8210) all_58_14 = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (45), (158), (219), (239), (7512),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8161), (8183), (8195), (8199), (8210),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | #635.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | (8211) all_58_7 = e3 & op(e1, e2) = e3
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8211) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | (8212) all_58_7 = e3
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (8213) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8213) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8214) all_58_6 = e0 & op(e1, e3) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (158), (162),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (214), (219), (239), (245), (5508), (5511),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7477), (7481), (7482), (7510), (7512), (8161),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8166), (8176), (8183), (8195), (8196), (8214),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | #297.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8215) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8212), (8215) are inconsistent by sub-proof
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1619.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (8216) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8216) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8217) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7498), (8217) are inconsistent by sub-proof
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8218) all_58_11 = e0 & op(e1, e0) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8218) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8219) all_58_11 = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8175), (8219) are inconsistent by sub-proof
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1847.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | (8220) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (7498), (8175), (8220) are inconsistent
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #769.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | (8221) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (160), (162), (163), (214), (238),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | (5505), (5506), (5508), (5511), (5521), (5530),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | (5538), (7477), (7481), (7482), (7485), (7486),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | (7510), (8187), (8221), (function-axioms) are
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #337.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | (8222) all_58_3 = e2 & op(e2, e2) = e2
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (8222), (function-axioms) are
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | (8223) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8223) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | (8224) all_58_7 = e2 & op(e1, e2) = e2
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5505), (7486), (8224), (function-axioms) are
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #360.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | (8225) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8225) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | (8226) all_58_13 = e2
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (219),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (239), (358), (7498), (7512),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | (8161), (8166), (8175), (8183), (8226),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | #296.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | (8227) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (8227) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | (8228) all_58_6 = e2 & op(e1, e3) = e2
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | ALPHA: (8228) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | (8229) op(e1, e3) = e2
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7482), (8229), (function-axioms) are
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | (8230) all_58_12 = e2 & op(e0, e3) = e2
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | ALPHA: (8230) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | (8231) all_58_12 = e2
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (216), (219),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | (358), (7512), (8166), (8231), (function-axioms)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #293.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | (8232) all_14_2 = e2
% 201.01/33.42 | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | REDUCE: (366), (8232) imply:
% 201.01/33.42 | | | | | | | | | | | | (8233) ~ (all_52_4 = e2)
% 201.01/33.42 | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | REDUCE: (355), (8232) imply:
% 201.01/33.42 | | | | | | | | | | | | (8234) ~ (e3 = e2)
% 201.01/33.42 | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | REDUCE: (51), (8232) imply:
% 201.01/33.42 | | | | | | | | | | | | (8235) op(e3, e3) = e2
% 201.01/33.42 | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | BETA: splitting (233) gives:
% 201.01/33.42 | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | (8236) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 201.01/33.42 | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.42 | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (239),
% 201.01/33.42 | | | | | | | | | | | | | (241), (245), (355), (356), (8235), (8236),
% 201.01/33.42 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.42 | | | | | | | | | | | | | #623.
% 201.01/33.42 | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | (8237) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 201.01/33.42 | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.01/33.42 | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | BETA: splitting (8237) gives:
% 201.01/33.42 | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | (8238) all_58_5 = e2 & op(e2, e1) = e2
% 201.01/33.42 | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | ALPHA: (8238) implies:
% 201.01/33.42 | | | | | | | | | | | | | | (8239) op(e2, e1) = e2
% 201.01/33.42 | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | REF_CLOSE: (7477), (7510), (8239), (function-axioms) are
% 201.01/33.42 | | | | | | | | | | | | | | inconsistent by sub-proof #622.
% 201.01/33.42 | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | (8240) all_58_10 = e2 & op(e2, e0) = e2
% 201.01/33.42 | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | ALPHA: (8240) implies:
% 201.01/33.42 | | | | | | | | | | | | | | (8241) all_58_10 = e2
% 201.01/33.42 | | | | | | | | | | | | | | (8242) op(e2, e0) = e2
% 201.01/33.42 | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.01/33.42 | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | (8243) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.01/33.42 | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.42 | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | BETA: splitting (8243) gives:
% 201.01/33.42 | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | (8244) all_58_1 = e2 & op(e3, e2) = e2
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8233), (8244), (function-axioms) are
% 201.01/33.42 | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | (8245) all_58_3 = e2 & op(e2, e2) = e2
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (8245), (function-axioms) are
% 201.01/33.42 | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | (8246) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.01/33.42 | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.42 | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | BETA: splitting (8246) gives:
% 201.01/33.42 | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | (8247) all_58_7 = e2 & op(e1, e2) = e2
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | REF_CLOSE: (5505), (7486), (8247), (function-axioms) are
% 201.01/33.42 | | | | | | | | | | | | | | | | inconsistent by sub-proof #360.
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | (8248) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | ALPHA: (8248) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | (8249) all_58_13 = e2
% 201.01/33.42 | | | | | | | | | | | | | | | | (8250) op(e0, e2) = e2
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 201.01/33.42 | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (8250) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | (8251) all_52_7 = e2
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 201.01/33.42 | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (8242) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | (8252) all_52_13 = e2
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | REDUCE: (125), (8251) imply:
% 201.01/33.42 | | | | | | | | | | | | | | | | (8253) ~ (all_52_11 = e2)
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | SIMP: (8253) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | (8254) ~ (all_52_11 = e2)
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | REDUCE: (393), (8252) imply:
% 201.01/33.42 | | | | | | | | | | | | | | | | (8255) ~ (all_10_2 = e2)
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | SIMP: (8255) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | (8256) ~ (all_10_2 = e2)
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | REDUCE: (7509), (8252) imply:
% 201.01/33.42 | | | | | | | | | | | | | | | | (8257) ~ (all_8_1 = e2)
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | (8258) all_54_15 = e3
% 201.01/33.42 | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (7512), (8258) are inconsistent by
% 201.01/33.42 | | | | | | | | | | | | | | | | | sub-proof #1381.
% 201.01/33.42 | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | (8259) ~ (all_54_15 = e3)
% 201.01/33.42 | | | | | | | | | | | | | | | | | (8260) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | BETA: splitting (8260) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | (8261) all_54_15 = e2
% 201.01/33.42 | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (8256), (8261) are inconsistent by
% 201.01/33.42 | | | | | | | | | | | | | | | | | | sub-proof #1380.
% 201.01/33.42 | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | (8262) ~ (all_54_15 = e2)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | (8263) all_54_15 = e1 | all_54_15 = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | BETA: splitting (8263) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | (8264) all_54_15 = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (8264) imply:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | (8265) all_10_2 = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | SIMP: (8265) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | (8266) all_10_2 = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (8266) imply:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | (8267) all_56_15 = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | REDUCE: (7512), (8266) imply:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | (8268) ~ (e3 = e1)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | REDUCE: (45), (8266) imply:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | (8269) op(e0, e0) = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | (8270) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8270) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | (8271) all_58_0 = e1 & op(e3, e3) = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8271) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | (8272) op(e3, e3) = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8235), (8272), (function-axioms) are
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | (8273) all_58_1 = e1 & op(e3, e2) = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8273) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | (8274) all_58_1 = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (235), (238), (5520),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | (5521), (8249), (8274), (function-axioms) are
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #358.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | (8275) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8275) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | (8276) all_58_4 = e1 & op(e3, e1) = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8276) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | (8277) op(e3, e1) = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | (8278) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8278) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | (8279) all_58_6 = e1 & op(e1, e3) = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8279) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | (8280) all_58_6 = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (8277) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | (8281) all_52_8 = e1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8281) imply:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | (8282) ~ (all_52_11 = e1)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8282) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | (8283) ~ (all_52_11 = e1)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7505), (8281) imply:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | (8284) ~ (all_8_1 = e1)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | (8285) all_54_6 = e3
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7503), (8285) imply:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | (8286) all_8_1 = e3
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8286) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | (8287) all_8_1 = e3
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7507), (8287) imply:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | (8288) ~ (all_52_11 = e3)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7477), (8287) imply:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | (8289) op(e2, e1) = e3
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | (8290) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8290) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (8291) all_58_12 = e3 & op(e0, e3) = e3
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8291) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (8292) all_58_12 = e3
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8293) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8293) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8294) all_58_0 = e0 & op(e3, e3) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8294) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8295) op(e3, e3) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8235), (8295), (function-axioms) are
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8296) all_58_2 = e0 & op(e2, e3) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8296) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8297) op(e2, e3) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8298) all_58_15 = e0 & op(e0, e0) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (8298), (function-axioms) are
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8299) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8299) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8300) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8300) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8301) all_58_12 = e0 & op(e0, e3) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8292), (8301) are inconsistent by sub-proof
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1532.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8302) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8302) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8303) all_58_13 = e0 & op(e0, e2) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8249), (8303) are inconsistent by sub-proof
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1547.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8304) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8304) implies:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8305) all_58_14 = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8306) op(e0, e1) = e0
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8307) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5508), (5511), (7477), (7481), (7510),
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8307), (function-axioms) are inconsistent by
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #341.
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8308) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8308) gives:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8309) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8309) implies:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8310) op(e2, e0) = all_56_5
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8311) all_56_15 = e1 | ( ~ (all_56_11 = e0) & op(e0, e1)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8312) all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0, e2)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8313) all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) =
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 & $i(all_56_3))
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8314) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (239), (241), (243),
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5521), (8292), (8314), (function-axioms) are
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #335.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8315) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8315) gives:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8316) all_58_5 = e3 & op(e2, e1) = e3
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8316) implies:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8317) all_58_5 = e3
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8313) gives:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318) all_56_5 = e3
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8310), (8318) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319) op(e2, e0) = e3
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8312) gives:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8320) all_56_15 = e2
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8306), (8311), (8320), (function-axioms) are
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #696.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8321) ~ (all_56_15 = e2)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e0,
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (8242), (8319) gives:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8322) e3 = e2
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8317), (8322) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8323) all_58_5 = e2
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (228), (230), (7498),
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8305), (8323) are inconsistent by sub-proof #916.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8324) ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8297), (8324), (function-axioms) are inconsistent
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #292.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325) all_58_10 = e3 & op(e2, e0) = e3
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8325) implies:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8326) all_58_10 = e3
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8241), (8326) are inconsistent by sub-proof
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1875.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8327) implies:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328) op(e2, e3) = all_56_3
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8329) all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5509), (8289), (8328), (8329),
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #291.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8330) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8280), (8292), (8330) are inconsistent
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1315.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (8331) all_58_13 = e3 & op(e0, e2) = e3
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8249), (8331) are inconsistent by sub-proof
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | | #1838.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | (8332) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (8269), (8288), (8332),
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | | #1840.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | (8333) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (190), (255), (7478), (7503), (7507),
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | (7510), (7511), (8254), (8283), (8333),
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | | #709.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | (8334) all_58_7 = e1 & op(e1, e2) = e1
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8334) implies:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | (8335) op(e1, e2) = e1
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5511), (8335), (function-axioms) are
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | (8336) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (221),
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | (222), (358), (7498), (8241), (8269), (8336),
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | #590.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (8337) all_58_9 = e1 & op(e3, e0) = e1
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (216), (222),
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (358), (8241), (8269), (8337), (function-axioms)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #611.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | (8338) all_54_15 = e0
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (358), (8338) are inconsistent by sub-proof
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | #1323.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | (8339) all_10_2 = e3
% 201.01/33.43 | | | | | | | | | | | (8340) op(e3, e0) = all_10_1 & $i(all_10_1) & ( ~
% 201.01/33.43 | | | | | | | | | | | (all_10_1 = e2) | ( ~ (all_10_0 = e1) & op(e2,
% 201.01/33.43 | | | | | | | | | | | e0) = all_10_0 & $i(all_10_0)))
% 201.01/33.43 | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | ALPHA: (8340) implies:
% 201.01/33.43 | | | | | | | | | | | (8341) op(e3, e0) = all_10_1
% 201.01/33.43 | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | COMBINE_EQS: (337), (8339) imply:
% 201.01/33.43 | | | | | | | | | | | (8342) all_24_2 = e3
% 201.01/33.43 | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | COMBINE_EQS: (254), (8339) imply:
% 201.01/33.43 | | | | | | | | | | | (8343) all_56_15 = e3
% 201.01/33.43 | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | REDUCE: (373), (8339) imply:
% 201.01/33.43 | | | | | | | | | | | (8344) ~ (all_52_3 = e3)
% 201.01/33.43 | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | REDUCE: (384), (8339) imply:
% 201.01/33.43 | | | | | | | | | | | (8345) ~ (all_52_7 = e3)
% 201.01/33.43 | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | REDUCE: (391), (8339) imply:
% 201.01/33.43 | | | | | | | | | | | (8346) ~ (all_52_11 = e3)
% 201.01/33.43 | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | REDUCE: (392), (8339) imply:
% 201.01/33.43 | | | | | | | | | | | (8347) ~ (all_52_12 = e3)
% 201.01/33.43 | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | REDUCE: (393), (8339) imply:
% 201.01/33.43 | | | | | | | | | | | (8348) ~ (all_52_13 = e3)
% 201.01/33.43 | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | REDUCE: (394), (8339) imply:
% 201.01/33.43 | | | | | | | | | | | (8349) ~ (all_52_14 = e3)
% 201.01/33.43 | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | BETA: splitting (67) gives:
% 201.01/33.43 | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | Case 1:
% 201.01/33.43 | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | (8350) ~ (all_24_2 = e3)
% 201.01/33.43 | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | REDUCE: (8342), (8350) imply:
% 201.01/33.43 | | | | | | | | | | | | (8351) $false
% 201.01/33.43 | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | CLOSE: (8351) is inconsistent.
% 201.01/33.43 | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | (8352) op(e3, e0) = all_24_1 & $i(all_24_1) & ( ~
% 201.01/33.43 | | | | | | | | | | | | (all_24_1 = e1) | ( ~ (all_24_0 = e2) & op(e1,
% 201.01/33.43 | | | | | | | | | | | | e0) = all_24_0 & $i(all_24_0)))
% 201.01/33.43 | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | ALPHA: (8352) implies:
% 201.01/33.43 | | | | | | | | | | | | (8353) op(e3, e0) = all_24_1
% 201.01/33.43 | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.01/33.43 | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | Case 1:
% 201.01/33.43 | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | (8354) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.01/33.43 | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.01/33.43 | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | REF_CLOSE: (158), (159), (8344), (8345), (8354),
% 201.01/33.43 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.43 | | | | | | | | | | | | | #666.
% 201.01/33.43 | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | (8355) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.01/33.43 | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.01/33.43 | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | BETA: splitting (8355) gives:
% 201.01/33.43 | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | Case 1:
% 201.01/33.43 | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | (8356) all_58_14 = e3 & op(e0, e1) = e3
% 201.01/33.43 | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | ALPHA: (8356) implies:
% 201.01/33.43 | | | | | | | | | | | | | | (8357) op(e0, e1) = e3
% 201.01/33.43 | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | REF_CLOSE: (157), (8346), (8357), (function-axioms) are
% 201.01/33.43 | | | | | | | | | | | | | | inconsistent by sub-proof #1841.
% 201.01/33.43 | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | (8358) all_58_15 = e3 & op(e0, e0) = e3
% 201.01/33.43 | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | ALPHA: (8358) implies:
% 201.01/33.43 | | | | | | | | | | | | | | (8359) all_58_15 = e3
% 201.01/33.43 | | | | | | | | | | | | | | (8360) op(e0, e0) = e3
% 201.01/33.43 | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 201.01/33.43 | | | | | | | | | | | | | | all_10_1, e0, e3, simplifying with (168), (8341)
% 201.01/33.43 | | | | | | | | | | | | | | gives:
% 201.01/33.43 | | | | | | | | | | | | | | (8361) all_52_12 = all_10_1
% 201.01/33.43 | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 201.01/33.43 | | | | | | | | | | | | | | all_24_1, e0, e3, simplifying with (168), (8353)
% 201.01/33.43 | | | | | | | | | | | | | | gives:
% 201.01/33.43 | | | | | | | | | | | | | | (8362) all_52_12 = all_24_1
% 201.01/33.43 | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | COMBINE_EQS: (8361), (8362) imply:
% 201.01/33.43 | | | | | | | | | | | | | | (8363) all_24_1 = all_10_1
% 201.01/33.43 | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | SIMP: (8363) implies:
% 201.01/33.43 | | | | | | | | | | | | | | (8364) all_24_1 = all_10_1
% 201.01/33.43 | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 201.01/33.43 | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | Case 1:
% 201.01/33.43 | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | (8365) ~ (all_14_2 = e2)
% 201.01/33.43 | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 201.01/33.43 | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | Case 1:
% 201.01/33.43 | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | (8366) ~ (all_28_2 = e1)
% 201.01/33.43 | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | REDUCE: (334), (8366) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | (8367) ~ (all_14_2 = e1)
% 201.01/33.43 | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 201.01/33.43 | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.43 | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | (8368) all_54_0 = e3
% 201.01/33.43 | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (8368) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | | (8369) all_14_2 = e3
% 201.01/33.43 | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | REDUCE: (355), (8369) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | | (8370) $false
% 201.01/33.43 | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | CLOSE: (8370) is inconsistent.
% 201.01/33.43 | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | (8371) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 201.01/33.43 | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | BETA: splitting (8371) gives:
% 201.01/33.43 | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.43 | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | (8372) all_54_0 = e2
% 201.01/33.43 | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (8372) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | (8373) all_14_2 = e2
% 201.01/33.43 | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | REDUCE: (8365), (8373) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | (8374) $false
% 201.01/33.43 | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | CLOSE: (8374) is inconsistent.
% 201.01/33.43 | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | (8375) all_54_0 = e1 | all_54_0 = e0
% 201.01/33.43 | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | BETA: splitting (8375) gives:
% 201.01/33.43 | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | (8376) all_54_0 = e1
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (8376) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | (8377) all_14_2 = e1
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | REDUCE: (8367), (8377) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | (8378) $false
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | CLOSE: (8378) is inconsistent.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | (8379) all_54_0 = e0
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (8379) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | (8380) all_14_2 = e0
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (8380) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | (8381) all_56_12 = e0
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | REDUCE: (364), (8380) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | (8382) ~ (all_52_3 = e0)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (8383) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5508), (5511), (7477), (7481), (7510),
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (8383), (function-axioms) are inconsistent by
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | sub-proof #341.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (8384) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8384) gives:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (8385) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8385) implies:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (8386) op(e3, e0) = all_56_2
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (8387) ~ (all_56_12 = e0) | all_56_2 = e3
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8341), (8347), (8353), (8381), (8386),
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (8387), (function-axioms) are inconsistent by
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | sub-proof #501.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (8388) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8388) implies:
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (8389) op(e0, e3) = all_56_9
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (8390) ~ (all_56_15 = e3) | all_56_9 = e0
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8343), (8382), (8389), (8390),
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | | #289.
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | End of split
% 201.01/33.43 | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | Case 2:
% 201.01/33.43 | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | (8391) all_28_2 = e1
% 201.01/33.43 | | | | | | | | | | | | | | | | (8392) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 201.01/33.43 | | | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 201.01/33.43 | | | | | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0)))
% 201.01/33.43 | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | ALPHA: (8392) implies:
% 201.01/33.43 | | | | | | | | | | | | | | | | (8393) op(e1, e3) = all_28_1
% 201.01/33.43 | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (8391) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | (8394) all_14_2 = e1
% 201.01/33.43 | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (8394) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | (8395) all_36_2 = e1
% 201.01/33.43 | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (8394) imply:
% 201.01/33.43 | | | | | | | | | | | | | | | | (8396) all_56_12 = e1
% 201.01/33.43 | | | | | | | | | | | | | | | |
% 201.01/33.43 | | | | | | | | | | | | | | | | REDUCE: (362), (8394) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | (8397) ~ (all_52_2 = e1)
% 201.01/33.44 | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | REDUCE: (355), (8394) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | (8398) ~ (e3 = e1)
% 201.01/33.44 | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | REDUCE: (51), (8394) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | (8399) op(e3, e3) = e1
% 201.01/33.44 | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | (8400) ~ (all_36_2 = e1)
% 201.01/33.44 | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | REDUCE: (8395), (8400) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | | (8401) $false
% 201.01/33.44 | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | CLOSE: (8401) is inconsistent.
% 201.01/33.44 | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | (8402) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 201.01/33.44 | | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 201.01/33.44 | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | ALPHA: (8402) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | (8403) op(e1, e3) = all_36_1
% 201.01/33.44 | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | (8404) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 201.01/33.44 | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (5511), (8393), (8397), (8403),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | (8404), (function-axioms) are inconsistent by
% 201.01/33.44 | | | | | | | | | | | | | | | | | | sub-proof #300.
% 201.01/33.44 | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | (8405) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 201.01/33.44 | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | BETA: splitting (8405) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | (8406) all_58_8 = e1 & op(e1, e1) = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7498), (8406) are inconsistent by sub-proof
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | #950.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | (8407) all_58_11 = e1 & op(e1, e0) = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | ALPHA: (8407) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | (8408) all_58_11 = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | (8409) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8409) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | (8410) all_58_4 = e1 & op(e3, e1) = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8410) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | (8411) all_58_4 = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (67), (168), (240),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | (244), (246), (8341), (8342), (8347), (8399),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | (8411), (function-axioms) are inconsistent by
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | sub-proof #287.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | (8412) all_58_5 = e1 & op(e2, e1) = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8412) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | (8413) op(e2, e1) = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5513), (8413), (function-axioms) are
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | (8414) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8414) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | (8415) all_58_8 = e1 & op(e1, e1) = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7498), (8415) are inconsistent by sub-proof
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | #950.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | (8416) all_58_14 = e1 & op(e0, e1) = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | (8417) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8417) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8418) all_58_9 = e1 & op(e3, e0) = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8418) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8419) all_58_9 = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | (8420) all_58_15 = e0 & op(e0, e0) = e0
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (8420), (function-axioms) are
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | (8421) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8421) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | (8422) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | (8423) all_58_9 = e0 & op(e3, e0) = e0
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8419), (8423) are inconsistent by sub-proof
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | #488.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | (8424) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8424) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (8425) all_58_10 = e0 & op(e2, e0) = e0
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8425) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (8426) all_58_10 = e0
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8427) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8427) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8428) all_58_0 = e2 & op(e3, e3) = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8428) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8429) op(e3, e3) = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8399), (8429), (function-axioms) are
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8430) all_58_1 = e2 & op(e3, e2) = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8430) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8431) all_58_1 = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8432) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8432) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8433) all_58_9 = e2 & op(e3, e0) = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8433) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8434) all_58_9 = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8419), (8434) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8435) e2 = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8431), (8435) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8436) all_58_1 = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (244), (246),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8399), (8436), (function-axioms) are inconsistent
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #286.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8437) all_58_10 = e2 & op(e2, e0) = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8426), (8437) are inconsistent by sub-proof
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1521.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8438) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (7485), (8359), (8438),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #537.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8439) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8439) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8440) all_58_4 = e2 & op(e3, e1) = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8440) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8441) all_58_4 = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8442) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8442) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8443) all_58_9 = e2 & op(e3, e0) = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8443) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8444) all_58_9 = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8419), (8444) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8445) e2 = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8441), (8445) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8446) all_58_4 = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (67), (168), (240),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (8341), (8342), (8347), (8399),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8446), (function-axioms) are inconsistent by
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #287.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8447) all_58_10 = e2 & op(e2, e0) = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8426), (8447) are inconsistent by sub-proof
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1521.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8448) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (7485), (8359), (8448),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #537.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8449) all_58_9 = e2 & op(e3, e0) = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8449) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8450) all_58_9 = e2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8419), (8450) are inconsistent by sub-proof
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1877.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (8451) all_58_11 = e0 & op(e1, e0) = e0
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8451) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (8452) all_58_11 = e0
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8408), (8452) are inconsistent by sub-proof
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | #1847.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8453) all_58_10 = e1 & op(e2, e0) = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5514), (8453), (function-axioms) are
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #430.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | (8454) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8454) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8407) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8455) op(e1, e0) = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8416) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8456) all_58_14 = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8457) op(e0, e1) = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (8457) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8458) all_52_11 = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (8455) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8459) all_52_14 = e1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e3, e1, simplifying with (163), (8393)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8460) all_52_2 = all_28_1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (8460) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8461) all_54_8 = all_28_1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (8460) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8462) ~ (all_52_3 = all_28_1)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8462) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8463) ~ (all_52_3 = all_28_1)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5531), (8460) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8464) ~ (all_28_1 = all_6_1)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7482), (8460) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8465) ~ (all_28_1 = e2)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8397), (8460) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8466) ~ (all_28_1 = e1)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (8459) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | (8467) ~ (all_6_1 = e1)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | (8468) all_54_9 = e3
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5530), (8468) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | (8469) all_6_1 = e3
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5505), (8469) imply:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | (8470) op(e1, e2) = e3
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | (8471) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8471) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (8472) all_58_1 = e3 & op(e3, e2) = e3
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8472) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (8473) all_58_1 = e3
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8474) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5508), (5511), (7477), (7481), (7510),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8474), (function-axioms) are inconsistent by
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #341.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8475) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8475) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8476) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8476) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8477) op(e1, e0) = all_56_8
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8478) op(e3, e0) = all_56_2
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8479) all_56_8 = e2 | ( ~ (all_56_7 = e0) & op(e1, e2) =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8480) ~ (all_56_12 = e0) | all_56_2 = e3
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (165), (168), (216), (218), (223), (224),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (235), (237), (356),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5513), (5520), (7485), (7498), (8341),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8346), (8347), (8349), (8353), (8359), (8396),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8456), (8473), (8477), (8478), (8479), (8480),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #283.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8481) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8481) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8482) op(e1, e3) = all_56_6
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8483) all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7482), (8470), (8482), (8483),
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #961.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (8484) all_58_3 = e3 & op(e2, e2) = e3
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8484) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (8485) op(e2, e2) = e3
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5521), (8485), (function-axioms) are
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | (8486) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8486) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (8487) all_58_7 = e3 & op(e1, e2) = e3
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8487) implies:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (8488) all_58_7 = e3
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8489) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5508), (5511), (7477), (7481), (7510),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8489), (function-axioms) are inconsistent by
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #341.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8490) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8490) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8491) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8491) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8492) op(e1, e0) = all_56_8
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8493) op(e2, e0) = all_56_5
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8494) op(e3, e0) = all_56_2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8495) all_56_15 = e1 | ( ~ (all_56_11 = e0) & op(e0, e1)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8496) all_56_8 = e2 | ( ~ (all_56_7 = e0) & op(e1, e2) =
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8497) all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1) =
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8498) ~ (all_56_12 = e0) | all_56_2 = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8499) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8499) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8500) all_58_0 = e3 & op(e3, e3) = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8399), (8500), (function-axioms) are
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8501) all_58_1 = e3 & op(e3, e2) = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8501) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8502) all_58_1 = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (165), (168), (216), (218), (223), (224),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (235), (237), (356),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (5513), (5520), (7485), (7498), (8341),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8346), (8347), (8349), (8353), (8359), (8396),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8456), (8492), (8494), (8496), (8498), (8502),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #283.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8503) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8503) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8504) all_58_4 = e3 & op(e3, e1) = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8504) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8505) all_58_4 = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8506) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8506) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8507) all_58_4 = e0 & op(e3, e1) = e0
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8505), (8507) are inconsistent by sub-proof
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #912.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8508) all_58_5 = e0 & op(e2, e1) = e0
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8508) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8509) op(e2, e1) = e0
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8510) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8510) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8511) all_58_2 = e3 & op(e2, e3) = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8511) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8512) all_58_2 = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8513) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8513) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8514) all_58_0 = e2 & op(e3, e3) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8514) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8515) op(e3, e3) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8399), (8515), (function-axioms) are
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8516) all_58_2 = e2 & op(e2, e3) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8516) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8517) all_58_2 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (7498), (8349), (8488), (8512), (8517),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #489.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8518) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8518) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8519) all_58_6 = e2 & op(e1, e3) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8519) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8520) op(e1, e3) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7482), (8520), (function-axioms) are
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8521) all_58_12 = e2 & op(e0, e3) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8521) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8522) all_58_12 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8523) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (239), (245),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356), (8399), (8522), (8523), (function-axioms)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #379.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8524) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8524) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8525) all_58_5 = e2 & op(e2, e1) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8525) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8526) all_58_5 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (227), (228), (7498),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8505), (8526) are inconsistent by sub-proof #970.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8527) all_58_10 = e2 & op(e2, e0) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8527) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8528) op(e2, e0) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8493), (8497), (8509), (8528),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #323.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8529) all_58_3 = e3 & op(e2, e2) = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8529) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8530) op(e2, e2) = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5521), (8530), (function-axioms) are
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8531) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8531) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8532) all_58_5 = e3 & op(e2, e1) = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8532) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8533) all_58_5 = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (227), (7498), (8456), (8505),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8533) are inconsistent by sub-proof #911.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8534) all_58_10 = e3 & op(e2, e0) = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8534) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8535) op(e2, e0) = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8348), (8535), (function-axioms) are
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8536) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8536) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8537) all_58_8 = e0 & op(e1, e1) = e0
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7498), (8537) are inconsistent by sub-proof
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8538) all_58_14 = e0 & op(e0, e1) = e0
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8538) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8539) op(e0, e1) = e0
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8343), (8495), (8539), (function-axioms) are
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1057.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8540) all_58_9 = e3 & op(e3, e0) = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8540) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8541) op(e3, e0) = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (67), (168), (8341), (8342), (8347), (8541),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1034.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8542) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8542) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8543) op(e1, e3) = all_56_6
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8544) all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) =
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7482), (8470), (8543), (8544),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #961.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (8545) all_58_13 = e3 & op(e0, e2) = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8545) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (8546) op(e0, e2) = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8345), (8546), (function-axioms) are
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | (8547) ~ (all_54_9 = e3)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | (8548) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5530), (8547) imply:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | (8549) ~ (all_6_1 = e3)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8548) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | (8550) all_54_9 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5530), (8550) imply:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | (8551) all_6_1 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7486), (8551) imply:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | (8552) $false
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8552) is inconsistent.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | (8553) all_54_9 = e1 | all_54_9 = e0
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8553) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (8554) all_54_9 = e1
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5530), (8554) imply:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (8555) all_6_1 = e1
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (8555) imply:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (8556) $false
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8556) is inconsistent.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (8557) all_54_9 = e0
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5530), (8557) imply:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (8558) all_6_1 = e0
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5534), (8558) imply:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (8559) ~ (all_52_7 = e0)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8464), (8558) imply:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (8560) ~ (all_28_1 = e0)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8549), (8558) imply:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (8561) ~ (e3 = e0)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (8558) imply:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (8562) ~ (e1 = e0)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5505), (8558) imply:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (8563) op(e1, e2) = e0
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8564) all_54_13 = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (8345), (8564) are inconsistent by
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1294.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8565) ~ (all_54_13 = e3)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8566) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8566) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8567) all_54_13 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (8567) imply:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8568) all_52_7 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8568) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8569) all_52_7 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8569) imply:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8570) ~ (all_52_4 = e2)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8345), (8569) imply:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8571) ~ (e3 = e2)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8572) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8572) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8573) all_58_0 = e2 & op(e3, e3) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8573) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8574) op(e3, e3) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8399), (8574), (function-axioms) are
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8575) all_58_2 = e2 & op(e2, e3) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8575) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8576) all_58_2 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8577) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8577) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8578) all_58_1 = e2 & op(e3, e2) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8570), (8578), (function-axioms) are
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8579) all_58_3 = e2 & op(e2, e2) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (8579), (function-axioms) are
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8580) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8580) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8581) all_58_7 = e2 & op(e1, e2) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8581) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8582) all_58_7 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (7498), (8349), (8582), (function-axioms)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #506.
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8583) all_58_13 = e2 & op(e0, e2) = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8583) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8584) all_58_13 = e2
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8585) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8585) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8586) all_58_6 = e3 & op(e1, e3) = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8586) implies:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8587) all_58_6 = e3
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8588) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5508), (5511), (7477), (7481), (7510),
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8588), (function-axioms) are inconsistent by
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #341.
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8589) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8589) gives:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8590) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8590) implies:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8591) op(e1, e0) = all_56_8
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8592) all_56_8 = e2 | ( ~ (all_56_7 = e0) & op(e1, e2) =
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7485), (8563), (8591), (8592),
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #340.
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8593) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8593) implies:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8594) op(e2, e3) = all_56_3
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8595) all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (164), (167),
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (239), (241), (243), (5509), (5521),
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7482), (8348), (8587), (8594), (8595),
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #282.
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8596) all_58_7 = e3 & op(e1, e2) = e3
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8596) implies:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8597) all_58_7 = e3
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8598) op(e1, e2) = e3
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8599) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5508), (5511), (7477), (7481), (7510),
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8599), (function-axioms) are inconsistent by
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #341.
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8600) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8600) gives:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8601) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8601) implies:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8602) all_56_15 = e1 | ( ~ (all_56_11 = e0) & op(e0, e1)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8603) all_58_15 = e0 & op(e0, e0) = e0
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (8603), (function-axioms) are
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8604) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8604) implies:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8605) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8605) gives:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8606) all_58_12 = e0 & op(e0, e3) = e0
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8606) implies:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8607) all_58_12 = e0
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8608) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8608) gives:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8609) all_58_0 = e3 & op(e3, e3) = e3
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8399), (8609), (function-axioms) are
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8610) all_58_2 = e3 & op(e2, e3) = e3
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8610) implies:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8611) all_58_2 = e3
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (7498), (8349), (8576), (8597), (8611),
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #489.
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8612) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8612) gives:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8613) all_58_6 = e3 & op(e1, e3) = e3
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8613) implies:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8614) all_58_6 = e3
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8615) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8615) gives:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8616) all_58_6 = e0 & op(e1, e3) = e0
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8616) implies:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8617) all_58_6 = e0
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (245), (8344), (8399),
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8576), (8617), (function-axioms) are inconsistent
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #281.
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8618) all_58_7 = e0 & op(e1, e2) = e0
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.01/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8618) implies:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8619) all_58_7 = e0
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8597), (8619) imply:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8620) e3 = e0
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8620) implies:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8621) e3 = e0
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8614), (8621) imply:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8622) all_58_6 = e0
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (245), (8344), (8399),
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8576), (8622), (function-axioms) are inconsistent
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #281.
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8623) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8623) gives:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8624) all_58_8 = e0 & op(e1, e1) = e0
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8624) implies:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8625) all_58_8 = e0
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7498), (8625) are inconsistent by sub-proof
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #984.
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8626) all_58_11 = e0 & op(e1, e0) = e0
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8626) implies:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8627) all_58_11 = e0
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8408), (8627) imply:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8628) e1 = e0
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8456), (8628) imply:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8629) all_58_14 = e0
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (217), (8360), (8584), (8607),
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8629), (function-axioms) are inconsistent by
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1652.
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8630) all_58_12 = e3 & op(e0, e3) = e3
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8630) implies:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8631) op(e0, e3) = e3
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (196), (8461), (8463), (8465), (8466),
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8560), (8631), (function-axioms) are inconsistent
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #662.
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8632) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (8343), (8584), (8602), (8632),
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #280.
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8633) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8633) implies:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8634) op(e1, e3) = all_56_6
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8635) all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) =
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7482), (8598), (8634), (8635),
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #961.
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8636) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (7498), (8349), (8636),
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #633.
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8637) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8637) gives:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8638) all_58_6 = e2 & op(e1, e3) = e2
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8638) implies:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8639) op(e1, e3) = e2
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7482), (8639), (function-axioms) are
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8640) all_58_12 = e2 & op(e0, e3) = e2
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8640) implies:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8641) all_58_12 = e2
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8642) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8642) gives:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8643) all_58_1 = e2 & op(e3, e2) = e2
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8570), (8643), (function-axioms) are
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8644) all_58_3 = e2 & op(e2, e2) = e2
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (8644), (function-axioms) are
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8645) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (216),
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (358), (7498), (8349),
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8456), (8641), (8645), (function-axioms) are
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #284.
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8646) all_54_13 = e1 | all_54_13 = e0
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (5512), (8559), (8646) are inconsistent by
% 201.27/33.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #279.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | (8647) all_58_15 = e1 & op(e0, e0) = e1
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8647) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | (8648) op(e0, e0) = e1
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (216),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (358), (8348), (8408), (8648),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | #660.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | (8649) all_14_2 = e2
% 201.27/33.47 | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | COMBINE_EQS: (290), (8649) imply:
% 201.27/33.47 | | | | | | | | | | | | | | | (8650) all_56_12 = e2
% 201.27/33.47 | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | REDUCE: (355), (8649) imply:
% 201.27/33.47 | | | | | | | | | | | | | | | (8651) ~ (e3 = e2)
% 201.27/33.47 | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | REDUCE: (51), (8649) imply:
% 201.27/33.47 | | | | | | | | | | | | | | | (8652) op(e3, e3) = e2
% 201.27/33.47 | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 201.27/33.47 | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | (8653) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 201.27/33.47 | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.27/33.47 | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (239),
% 201.27/33.47 | | | | | | | | | | | | | | | | (241), (245), (355), (356), (8652), (8653),
% 201.27/33.47 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.27/33.47 | | | | | | | | | | | | | | | | #623.
% 201.27/33.47 | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | (8654) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 201.27/33.47 | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.27/33.47 | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | BETA: splitting (8654) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | (8655) all_58_5 = e2 & op(e2, e1) = e2
% 201.27/33.47 | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | ALPHA: (8655) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | (8656) all_58_5 = e2
% 201.27/33.47 | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (227), (228),
% 201.27/33.47 | | | | | | | | | | | | | | | | | (230), (7498), (8346), (8656), (function-axioms)
% 201.27/33.47 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #793.
% 201.27/33.47 | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | (8657) all_58_10 = e2 & op(e2, e0) = e2
% 201.27/33.47 | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | ALPHA: (8657) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | (8658) all_58_10 = e2
% 201.27/33.47 | | | | | | | | | | | | | | | | | (8659) op(e2, e0) = e2
% 201.27/33.47 | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | (8660) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 201.27/33.47 | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | BETA: splitting (8660) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | (8661) all_58_4 = e3 & op(e3, e1) = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | ALPHA: (8661) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | (8662) all_58_4 = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (8663) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (5513), (8662), (8663),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | #354.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (8664) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8664) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (8665) all_58_8 = e1 & op(e1, e1) = e1
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7498), (8665) are inconsistent by sub-proof
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | #950.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (8666) all_58_14 = e1 & op(e0, e1) = e1
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8666) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (8667) all_58_14 = e1
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | (8668) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8668) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | (8669) all_58_2 = e3 & op(e2, e3) = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8669) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | (8670) all_58_2 = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | (8671) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8671) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8672) all_58_2 = e0 & op(e2, e3) = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8670), (8672) are inconsistent by sub-proof
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | #1387.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8673) all_58_3 = e0 & op(e2, e2) = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8673) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8674) op(e2, e2) = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (157),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (168), (216),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (239), (240),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (245), (246), (355), (358),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (7482), (7485), (7498), (8341), (8344), (8345),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8346), (8347), (8348), (8349), (8353), (8359),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8360), (8662), (8667), (8670), (8674),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | #510.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | (8675) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8675) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8676) all_58_5 = e0 & op(e2, e1) = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8676) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8677) op(e2, e1) = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (8678) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8678) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8679) all_58_6 = e3 & op(e1, e3) = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8679) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8680) all_58_6 = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (239), (241), (8652),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8670), (8680), (function-axioms) are inconsistent
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1107.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8681) all_58_7 = e3 & op(e1, e2) = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8681) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8682) op(e1, e2) = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (162), (163), (214), (5508), (5511), (7477),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7481), (7482), (7510), (8659), (8677), (8682),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | #322.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (8683) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (160), (239),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (245), (355), (7498), (8349), (8652),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (8670), (8683), (function-axioms) are inconsistent
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #586.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8684) all_58_10 = e0 & op(e2, e0) = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8658), (8684) are inconsistent by sub-proof
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | #1313.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | (8685) all_58_3 = e3 & op(e2, e2) = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8685) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | (8686) op(e2, e2) = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5521), (8686), (function-axioms) are
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | (8687) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (164), (227), (228),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | (7498), (8348), (8662), (8687), (function-axioms)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #492.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | (8688) all_58_5 = e3 & op(e2, e1) = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | ALPHA: (8688) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | (8689) all_58_5 = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | (8690) op(e2, e1) = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (8691) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5508), (5511), (7477), (7481), (7510),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (8691), (function-axioms) are inconsistent by
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | sub-proof #341.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (8692) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8692) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (8693) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8693) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (8694) op(e2, e0) = all_56_5
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (8695) op(e3, e0) = all_56_2
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (8696) all_56_15 = e1 | ( ~ (all_56_11 = e0) & op(e0, e1)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (8697) all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0, e2)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (8698) all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1) =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | (8699) ~ (all_56_12 = e0) | all_56_2 = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8696) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | (8700) all_56_15 = e1
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8343), (8700) imply:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | (8701) e3 = e1
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (8701) imply:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | (8702) $false
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8702) is inconsistent.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | (8703) ~ (all_56_15 = e1)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | (8704) ~ (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8704) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | (8705) ~ (all_56_11 = e0)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | (8706) op(e0, e1) = all_56_11
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | (8707) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8707) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | (8708) all_58_0 = e3 & op(e3, e3) = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (8708), (function-axioms) are
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | (8709) all_58_1 = e3 & op(e3, e2) = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8709) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | (8710) all_58_1 = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8711) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8711) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (8712) all_58_0 = e3 & op(e3, e3) = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (8712), (function-axioms) are
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (8713) all_58_2 = e3 & op(e2, e3) = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8713) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (8714) all_58_2 = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8715) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8715) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8716) all_58_2 = e0 & op(e2, e3) = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8714), (8716) are inconsistent by sub-proof
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1387.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8717) all_58_3 = e0 & op(e2, e2) = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5520), (8717) are inconsistent by sub-proof
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1395.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8718) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (8341), (8347), (8353), (8650),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8658), (8659), (8694), (8695), (8698), (8699),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8718), (function-axioms) are inconsistent by
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #278.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8719) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8719) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (8720) all_58_6 = e3 & op(e1, e3) = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8720) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (8721) all_58_6 = e3
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8722) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8722) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8723) all_58_2 = e0 & op(e2, e3) = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8723) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8724) all_58_2 = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8697) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8725) all_56_15 = e2
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8343), (8725) imply:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8726) e3 = e2
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8710), (8726) imply:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8727) all_58_1 = e2
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (240),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (8341), (8347), (8353),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8652), (8727), (function-axioms) are inconsistent
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #485.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8728) ~ (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8728) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8729) ~ (all_56_10 = e0)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8730) op(e0, e2) = all_56_10
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8731) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5509), (8652), (8731),
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #401.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8732) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8732) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8733) all_58_6 = e1 & op(e1, e3) = e1
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8721), (8733) are inconsistent by sub-proof
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1853.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8734) all_58_12 = e1 & op(e0, e3) = e1
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8734) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8735) all_58_12 = e1
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8736) all_58_15 = e0 & op(e0, e0) = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (8736), (function-axioms) are
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8737) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8737) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8738) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8738) gives:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8739) all_58_12 = e0 & op(e0, e3) = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8739) implies:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8740) all_58_12 = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8735), (8740) imply:
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8741) e1 = e0
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5520), (8741) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8742) all_58_3 = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (8659), (8689), (8724),
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8742), (function-axioms) are inconsistent by
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #758.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8743) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8705), (8706), (8729), (8730), (8743),
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #277.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8744) all_58_3 = e0 & op(e2, e2) = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5520), (8744) are inconsistent by sub-proof
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1395.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8745) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (8341), (8347), (8353), (8650),
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8658), (8659), (8694), (8695), (8698), (8699),
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8745), (function-axioms) are inconsistent by
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #278.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (8746) all_58_12 = e3 & op(e0, e3) = e3
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8746) implies:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (8747) op(e0, e3) = e3
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8344), (8747), (function-axioms) are
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8748) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8748) gives:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | (8749) all_58_4 = e3 & op(e3, e1) = e3
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8749) implies:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | (8750) all_58_4 = e3
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (227), (228), (7498),
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | (8689), (8750) are inconsistent by sub-proof #910.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | (8751) all_58_9 = e3 & op(e3, e0) = e3
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8751) implies:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | (8752) op(e3, e0) = e3
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (67), (168), (8341), (8342), (8347), (8752),
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | | #1034.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (8753) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8753) implies:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (8754) op(e2, e3) = all_56_3
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (8755) all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5509), (8690), (8754), (8755),
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | #291.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8756) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 201.27/33.48 | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (7498), (8346), (8756),
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.27/33.48 | | | | | | | | | | | | | | | | | | #794.
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | (8757) all_58_11 = e2 & op(e1, e0) = e2
% 201.27/33.48 | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | ALPHA: (8757) implies:
% 201.27/33.48 | | | | | | | | | | (8758) op(e1, e0) = e2
% 201.27/33.48 | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | REF_CLOSE: (160), (7485), (8758), (function-axioms) are
% 201.27/33.48 | | | | | | | | | | inconsistent by sub-proof #954.
% 201.27/33.48 | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | |
% 201.27/33.48 | | | | | | | | End of split
% 201.27/33.48 | | | | | | | |
% 201.27/33.48 | | | | | | | End of split
% 201.27/33.48 | | | | | | |
% 201.27/33.48 | | | | | | End of split
% 201.27/33.48 | | | | | |
% 201.27/33.48 | | | | | End of split
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | End of split
% 201.27/33.48 | | | |
% 201.27/33.48 | | | Case 2:
% 201.27/33.48 | | | |
% 201.27/33.48 | | | | (8759) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2,
% 201.27/33.48 | | | | e0) = e1)
% 201.27/33.48 | | | |
% 201.27/33.48 | | | | REF_CLOSE: (164), (165), (5513), (5514), (8759), (function-axioms) are
% 201.27/33.48 | | | | inconsistent by sub-proof #276.
% 201.27/33.48 | | | |
% 201.27/33.48 | | | End of split
% 201.27/33.48 | | |
% 201.27/33.48 | | End of split
% 201.27/33.48 | |
% 201.27/33.48 | Case 2:
% 201.27/33.48 | |
% 201.27/33.48 | | (8760) all_4_2 = e0
% 201.27/33.48 | | (8761) op(e0, e1) = all_4_1 & $i(all_4_1) & ( ~ (all_4_1 = e3) | ( ~
% 201.27/33.48 | | (all_4_0 = e2) & op(e3, e1) = all_4_0 & $i(all_4_0)))
% 201.27/33.48 | |
% 201.27/33.48 | | ALPHA: (8761) implies:
% 201.27/33.48 | | (8762) op(e0, e1) = all_4_1
% 201.27/33.48 | | (8763) ~ (all_4_1 = e3) | ( ~ (all_4_0 = e2) & op(e3, e1) = all_4_0 &
% 201.27/33.48 | | $i(all_4_0))
% 201.27/33.48 | |
% 201.27/33.48 | | COMBINE_EQS: (336), (8760) imply:
% 201.27/33.48 | | (8764) all_12_2 = e0
% 201.27/33.48 | |
% 201.27/33.48 | | COMBINE_EQS: (266), (8760) imply:
% 201.27/33.48 | | (8765) all_56_14 = e0
% 201.27/33.48 | |
% 201.27/33.48 | | REDUCE: (372), (8760) imply:
% 201.27/33.48 | | (8766) ~ (all_52_2 = e0)
% 201.27/33.48 | |
% 201.27/33.48 | | REDUCE: (383), (8760) imply:
% 201.27/33.48 | | (8767) ~ (all_52_6 = e0)
% 201.27/33.48 | |
% 201.27/33.48 | | REDUCE: (385), (8760) imply:
% 201.27/33.48 | | (8768) ~ (all_52_8 = e0)
% 201.27/33.48 | |
% 201.27/33.48 | | REDUCE: (386), (8760) imply:
% 201.27/33.48 | | (8769) ~ (all_52_9 = e0)
% 201.27/33.48 | |
% 201.27/33.48 | | REDUCE: (388), (8760) imply:
% 201.27/33.48 | | (8770) ~ (all_52_11 = e0)
% 201.27/33.48 | |
% 201.27/33.48 | | REDUCE: (390), (8760) imply:
% 201.27/33.48 | | (8771) ~ (all_52_14 = e0)
% 201.27/33.48 | |
% 201.27/33.48 | | REDUCE: (357), (8760) imply:
% 201.27/33.48 | | (8772) ~ (e1 = e0)
% 201.27/33.48 | |
% 201.27/33.48 | | BETA: splitting (223) gives:
% 201.27/33.48 | |
% 201.27/33.48 | | Case 1:
% 201.27/33.48 | | |
% 201.27/33.48 | | | (8773) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2)
% 201.27/33.48 | | | = e0)
% 201.27/33.48 | | |
% 201.27/33.48 | | | BETA: splitting (8773) gives:
% 201.27/33.48 | | |
% 201.27/33.48 | | | Case 1:
% 201.27/33.48 | | | |
% 201.27/33.48 | | | | (8774) all_58_6 = e0 & op(e1, e3) = e0
% 201.27/33.48 | | | |
% 201.27/33.48 | | | | ALPHA: (8774) implies:
% 201.27/33.48 | | | | (8775) op(e1, e3) = e0
% 201.27/33.48 | | | |
% 201.27/33.48 | | | | REF_CLOSE: (163), (8766), (8775), (function-axioms) are inconsistent by
% 201.27/33.48 | | | | sub-proof #275.
% 201.27/33.48 | | | |
% 201.27/33.48 | | | Case 2:
% 201.27/33.48 | | | |
% 201.27/33.48 | | | | (8776) all_58_7 = e0 & op(e1, e2) = e0
% 201.27/33.48 | | | |
% 201.27/33.48 | | | | ALPHA: (8776) implies:
% 201.27/33.48 | | | | (8777) op(e1, e2) = e0
% 201.27/33.48 | | | |
% 201.27/33.48 | | | | REF_CLOSE: (162), (8767), (8777), (function-axioms) are inconsistent by
% 201.27/33.48 | | | | sub-proof #274.
% 201.27/33.48 | | | |
% 201.27/33.48 | | | End of split
% 201.27/33.48 | | |
% 201.27/33.48 | | Case 2:
% 201.27/33.48 | | |
% 201.27/33.48 | | | (8778) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0)
% 201.27/33.48 | | | = e0)
% 201.27/33.48 | | |
% 201.27/33.48 | | | BETA: splitting (8778) gives:
% 201.27/33.48 | | |
% 201.27/33.48 | | | Case 1:
% 201.27/33.48 | | | |
% 201.27/33.48 | | | | (8779) all_58_8 = e0 & op(e1, e1) = e0
% 201.27/33.48 | | | |
% 201.27/33.48 | | | | ALPHA: (8779) implies:
% 201.27/33.48 | | | | (8780) all_58_8 = e0
% 201.27/33.48 | | | |
% 201.27/33.48 | | | | BETA: splitting (49) gives:
% 201.27/33.48 | | | |
% 201.27/33.48 | | | | Case 1:
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | (8781) ~ (all_12_2 = e0)
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | REDUCE: (8764), (8781) imply:
% 201.27/33.48 | | | | | (8782) $false
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | CLOSE: (8782) is inconsistent.
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | Case 2:
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | (8783) op(e0, e1) = all_12_1 & $i(all_12_1) & ( ~ (all_12_1 = e2) |
% 201.27/33.48 | | | | | ( ~ (all_12_0 = e3) & op(e2, e1) = all_12_0 &
% 201.27/33.48 | | | | | $i(all_12_0)))
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | ALPHA: (8783) implies:
% 201.27/33.48 | | | | | (8784) op(e0, e1) = all_12_1
% 201.27/33.48 | | | | | (8785) ~ (all_12_1 = e2) | ( ~ (all_12_0 = e3) & op(e2, e1) =
% 201.27/33.48 | | | | | all_12_0 & $i(all_12_0))
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11, all_4_1,
% 201.27/33.48 | | | | | e1, e0, simplifying with (157), (8762) gives:
% 201.27/33.48 | | | | | (8786) all_52_11 = all_4_1
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11, all_12_1,
% 201.27/33.48 | | | | | e1, e0, simplifying with (157), (8784) gives:
% 201.27/33.48 | | | | | (8787) all_52_11 = all_12_1
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | COMBINE_EQS: (8786), (8787) imply:
% 201.27/33.48 | | | | | (8788) all_12_1 = all_4_1
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | SIMP: (8788) implies:
% 201.27/33.48 | | | | | (8789) all_12_1 = all_4_1
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | COMBINE_EQS: (255), (8786) imply:
% 201.27/33.48 | | | | | (8790) all_54_14 = all_4_1
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | REDUCE: (139), (8786) imply:
% 201.27/33.48 | | | | | (8791) ~ (all_52_3 = all_4_1)
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | REDUCE: (125), (8786) imply:
% 201.27/33.48 | | | | | (8792) ~ (all_52_7 = all_4_1)
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | REDUCE: (121), (8786) imply:
% 201.27/33.48 | | | | | (8793) ~ (all_52_8 = all_4_1)
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | REDUCE: (118), (8786) imply:
% 201.27/33.48 | | | | | (8794) ~ (all_52_9 = all_4_1)
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | REDUCE: (391), (8786) imply:
% 201.27/33.48 | | | | | (8795) ~ (all_10_2 = all_4_1)
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | SIMP: (8795) implies:
% 201.27/33.48 | | | | | (8796) ~ (all_10_2 = all_4_1)
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | REDUCE: (8770), (8786) imply:
% 201.27/33.48 | | | | | (8797) ~ (all_4_1 = e0)
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | BETA: splitting (40) gives:
% 201.27/33.48 | | | | |
% 201.27/33.48 | | | | | Case 1:
% 201.27/33.48 | | | | | |
% 201.27/33.48 | | | | | | (8798) ~ (all_6_2 = e1)
% 201.27/33.48 | | | | | |
% 201.27/33.48 | | | | | | BETA: splitting (46) gives:
% 201.27/33.48 | | | | | |
% 201.27/33.48 | | | | | | Case 1:
% 201.27/33.48 | | | | | | |
% 201.27/33.48 | | | | | | | (8799) ~ (all_10_2 = e3)
% 201.27/33.48 | | | | | | |
% 201.27/33.48 | | | | | | | BETA: splitting (52) gives:
% 201.27/33.48 | | | | | | |
% 201.27/33.48 | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | |
% 201.27/33.48 | | | | | | | | (8800) ~ (all_14_2 = e2)
% 201.27/33.48 | | | | | | | |
% 201.27/33.48 | | | | | | | | BETA: splitting (55) gives:
% 201.27/33.48 | | | | | | | |
% 201.27/33.48 | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | |
% 201.27/33.48 | | | | | | | | | (8801) ~ (all_16_2 = e3)
% 201.27/33.48 | | | | | | | | |
% 201.27/33.48 | | | | | | | | | REDUCE: (345), (8801) imply:
% 201.27/33.48 | | | | | | | | | (8802) ~ (all_6_2 = e3)
% 201.27/33.48 | | | | | | | | |
% 201.27/33.48 | | | | | | | | | BETA: splitting (199) gives:
% 201.27/33.48 | | | | | | | | |
% 201.27/33.48 | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | (8803) all_54_5 = e3
% 201.27/33.48 | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | REF_CLOSE: (275), (8802), (8803) are inconsistent by
% 201.27/33.48 | | | | | | | | | | sub-proof #1928.
% 201.27/33.48 | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | (8804) ~ (all_54_5 = e3)
% 201.27/33.48 | | | | | | | | | | (8805) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 201.27/33.48 | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | BETA: splitting (8805) gives:
% 201.27/33.48 | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | (8806) all_54_5 = e2
% 201.27/33.48 | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | REF_CLOSE: (275), (356), (8806) are inconsistent by sub-proof
% 201.27/33.48 | | | | | | | | | | | #1927.
% 201.27/33.48 | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | (8807) ~ (all_54_5 = e2)
% 201.27/33.48 | | | | | | | | | | | (8808) all_54_5 = e1 | all_54_5 = e0
% 201.27/33.48 | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | BETA: splitting (8808) gives:
% 201.27/33.48 | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | (8809) all_54_5 = e1
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | REF_CLOSE: (275), (8798), (8809) are inconsistent by
% 201.27/33.48 | | | | | | | | | | | | sub-proof #1926.
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | (8810) all_54_5 = e0
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | COMBINE_EQS: (275), (8810) imply:
% 201.27/33.48 | | | | | | | | | | | | (8811) all_6_2 = e0
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | SIMP: (8811) implies:
% 201.27/33.48 | | | | | | | | | | | | (8812) all_6_2 = e0
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | COMBINE_EQS: (348), (8812) imply:
% 201.27/33.48 | | | | | | | | | | | | (8813) all_20_2 = e0
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | COMBINE_EQS: (310), (8812) imply:
% 201.27/33.48 | | | | | | | | | | | | (8814) all_26_2 = e0
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | COMBINE_EQS: (354), (8812) imply:
% 201.27/33.48 | | | | | | | | | | | | (8815) all_56_13 = e0
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | REDUCE: (371), (8812) imply:
% 201.27/33.48 | | | | | | | | | | | | (8816) ~ (all_52_1 = e0)
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | REDUCE: (8802), (8812) imply:
% 201.27/33.48 | | | | | | | | | | | | (8817) ~ (e3 = e0)
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | REDUCE: (356), (8812) imply:
% 201.27/33.48 | | | | | | | | | | | | (8818) ~ (e2 = e0)
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | REDUCE: (39), (8812) imply:
% 201.27/33.48 | | | | | | | | | | | | (8819) op(e2, e2) = e0
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | BETA: splitting (61) gives:
% 201.27/33.48 | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | (8820) ~ (all_20_2 = e0)
% 201.27/33.48 | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | REDUCE: (8813), (8820) imply:
% 201.27/33.48 | | | | | | | | | | | | | (8821) $false
% 201.27/33.48 | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | CLOSE: (8821) is inconsistent.
% 201.27/33.48 | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | (8822) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 201.27/33.48 | | | | | | | | | | | | | (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 201.27/33.48 | | | | | | | | | | | | | e2) = all_20_0 & $i(all_20_0)))
% 201.27/33.48 | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | ALPHA: (8822) implies:
% 201.27/33.48 | | | | | | | | | | | | | (8823) op(e0, e2) = all_20_1
% 201.27/33.48 | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | BETA: splitting (70) gives:
% 201.27/33.48 | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | (8824) ~ (all_26_2 = e0)
% 201.27/33.48 | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | REDUCE: (8814), (8824) imply:
% 201.27/33.48 | | | | | | | | | | | | | | (8825) $false
% 201.27/33.48 | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | CLOSE: (8825) is inconsistent.
% 201.27/33.48 | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | (8826) op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~
% 201.27/33.48 | | | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 201.27/33.48 | | | | | | | | | | | | | | e2) = all_26_0 & $i(all_26_0)))
% 201.27/33.48 | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | ALPHA: (8826) implies:
% 201.27/33.48 | | | | | | | | | | | | | | (8827) op(e0, e2) = all_26_1
% 201.27/33.48 | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.27/33.48 | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | (8828) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.27/33.48 | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.27/33.48 | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | BETA: splitting (8828) gives:
% 201.27/33.48 | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | (8829) all_58_2 = e0 & op(e2, e3) = e0
% 201.27/33.48 | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | REF_CLOSE: (167), (8816), (8829), (function-axioms) are
% 201.27/33.48 | | | | | | | | | | | | | | | | inconsistent by sub-proof #273.
% 201.27/33.48 | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | (8830) all_58_3 = e0 & op(e2, e2) = e0
% 201.27/33.48 | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | ALPHA: (8830) implies:
% 201.27/33.48 | | | | | | | | | | | | | | | | (8831) all_58_3 = e0
% 201.27/33.48 | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.27/33.48 | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | (8832) all_58_15 = e0 & op(e0, e0) = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (8832), (function-axioms) are
% 201.27/33.48 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.27/33.48 | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | (8833) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.27/33.48 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.27/33.48 | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.27/33.48 | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.27/33.48 | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.27/33.48 | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | ALPHA: (8833) implies:
% 201.27/33.48 | | | | | | | | | | | | | | | | | (8834) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.27/33.48 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.27/33.48 | | | | | | | | | | | | | | | | | e1) = e0)
% 201.27/33.48 | | | | | | | | | | | | | | | | | (8835) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.27/33.48 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 201.27/33.48 | | | | | | | | | | | | | | | | | e0) = e0)
% 201.27/33.48 | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | BETA: splitting (8835) gives:
% 201.27/33.48 | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8836) all_58_9 = e0 & op(e3, e0) = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | ALPHA: (8836) implies:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8837) all_58_9 = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8838) op(e3, e0) = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 201.27/33.48 | | | | | | | | | | | | | | | | | | all_20_1, e2, e0, simplifying with (158), (8823)
% 201.27/33.48 | | | | | | | | | | | | | | | | | | gives:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8839) all_52_7 = all_20_1
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 201.27/33.48 | | | | | | | | | | | | | | | | | | all_26_1, e2, e0, simplifying with (158), (8827)
% 201.27/33.48 | | | | | | | | | | | | | | | | | | gives:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8840) all_52_7 = all_26_1
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 201.27/33.48 | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (8838) gives:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8841) all_52_12 = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8839), (8840) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8842) all_26_1 = all_20_1
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | SIMP: (8842) implies:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8843) all_26_1 = all_20_1
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | REDUCE: (140), (8839) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8844) ~ (all_52_3 = all_20_1)
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | REDUCE: (113), (8841) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8845) ~ (all_52_13 = e0)
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | SIMP: (8845) implies:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8846) ~ (all_52_13 = e0)
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | REDUCE: (112), (8841) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8847) ~ (all_52_14 = e0)
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | REDUCE: (370), (8841) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8848) ~ (all_14_2 = e0)
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | SIMP: (8848) implies:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | (8849) ~ (all_14_2 = e0)
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 201.27/33.48 | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | (8850) all_54_0 = e3
% 201.27/33.48 | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (8850) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | (8851) all_14_2 = e3
% 201.27/33.48 | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | REDUCE: (355), (8851) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | (8852) $false
% 201.27/33.48 | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | CLOSE: (8852) is inconsistent.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | (8853) ~ (all_54_0 = e3)
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | (8854) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | (8855) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8855) gives:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (8856) all_58_0 = e0 & op(e3, e3) = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8856) implies:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (8857) op(e3, e3) = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8854) gives:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | (8858) all_54_0 = e2
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (8858) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | (8859) all_14_2 = e2
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8800), (8859) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | (8860) $false
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8860) is inconsistent.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | (8861) all_54_0 = e1 | all_54_0 = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8861) gives:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8862) all_54_0 = e1
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (8862) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8863) all_14_2 = e1
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (8863) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8864) op(e3, e3) = e1
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8857), (8864), (function-axioms) are
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8865) all_54_0 = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (8865) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8866) all_14_2 = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8849), (8866) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8867) $false
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8867) is inconsistent.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (8868) all_58_2 = e0 & op(e2, e3) = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (8816), (8868), (function-axioms) are
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #273.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | (8869) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8869) gives:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (8870) all_58_6 = e0 & op(e1, e3) = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8870) implies:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (8871) op(e1, e3) = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8766), (8871), (function-axioms) are
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (8872) all_58_12 = e0 & op(e0, e3) = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8872) implies:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (8873) all_58_12 = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | (8874) op(e0, e3) = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8854) gives:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | (8875) all_54_0 = e2
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (8875) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | (8876) all_14_2 = e2
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8800), (8876) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | (8877) $false
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8877) is inconsistent.
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | (8878) all_54_0 = e1 | all_54_0 = e0
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8878) gives:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8879) all_54_0 = e1
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (8879) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8880) all_14_2 = e1
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (8880) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8881) all_28_2 = e1
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (8880) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8882) all_36_2 = e1
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (8880) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8883) all_56_12 = e1
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (8880) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8884) ~ (all_52_1 = e1)
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (8880) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8885) ~ (all_52_2 = e1)
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (8880) imply:
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | (8886) ~ (all_52_3 = e1)
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (8880) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | (8887) ~ (all_52_8 = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (8880) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | (8888) ~ (e3 = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (8880) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | (8889) op(e3, e3) = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | (8890) ~ (all_28_2 = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8881), (8890) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | (8891) $false
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8891) is inconsistent.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | (8892) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0)))
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8892) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | (8893) op(e1, e3) = all_28_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8894) ~ (all_36_2 = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8882), (8894) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8895) $false
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8895) is inconsistent.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8896) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8896) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8897) op(e1, e3) = all_36_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (8874) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8898) all_52_3 = e0
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e3, e1, simplifying with (163), (8893)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8899) all_52_2 = all_28_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_36_1, e3, e1, simplifying with (163), (8897)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8900) all_52_2 = all_36_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8899), (8900) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8901) all_36_1 = all_28_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (8899) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8902) all_54_8 = all_28_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (8899) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8903) ~ (all_52_1 = all_28_1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8899) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8904) ~ (all_52_6 = all_28_1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8904) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8905) ~ (all_52_6 = all_28_1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (8899) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8906) ~ (all_52_14 = all_28_1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8906) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8907) ~ (all_52_14 = all_28_1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8885), (8899) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8908) ~ (all_28_1 = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8766), (8899) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8909) ~ (all_28_1 = e0)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8844), (8898) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8910) ~ (all_20_1 = e0)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8910) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8911) ~ (all_20_1 = e0)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (8898) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8912) ~ (all_10_2 = e0)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8791), (8898) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8913) ~ (all_4_1 = e0)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (8914) ~ (all_30_2 = e2)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (8914) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (8915) ~ (all_10_2 = e2)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8916) all_54_15 = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (8799), (8916) are inconsistent by
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1381.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8917) ~ (all_54_15 = e3)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8918) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8918) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8919) all_54_15 = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (8915), (8919) are inconsistent by
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1380.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8920) ~ (all_54_15 = e2)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921) all_54_15 = e1 | all_54_15 = e0
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8921) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8922) all_54_15 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (8922) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8923) all_10_2 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8923) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8924) all_10_2 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (8924) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8925) all_40_2 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (8924) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8926) all_46_2 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (8924) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8927) all_56_15 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (8924) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8928) ~ (all_52_14 = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8915), (8924) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8929) ~ (e2 = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (8924) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8930) op(e0, e0) = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8931) ~ (all_40_2 = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8925), (8931) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8932) $false
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8932) is inconsistent.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8933) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_40_0 & $i(all_40_0)))
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8933) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8934) op(e1, e0) = all_40_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8935) ~ (all_46_2 = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8926), (8935) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8936) $false
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8936) is inconsistent.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8937) op(e1, e0) = all_46_1 & $i(all_46_1) & ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2,
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8937) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8938) op(e1, e0) = all_46_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8939) ~ (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2,
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0))
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8940) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (244), (246),
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8819), (8889), (8940), (function-axioms) are
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8941) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8941) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8942) all_58_7 = e1 & op(e1, e2) = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8942) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8943) all_58_7 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8944) op(e1, e2) = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8945) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8945) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8946) all_58_4 = e1 & op(e3, e1) = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8887), (8946), (function-axioms) are
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #302.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8947) all_58_5 = e1 & op(e2, e1) = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8947) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8948) all_58_5 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8949) op(e2, e1) = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_1, e0, e1, simplifying with (160), (8934)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8950) all_52_14 = all_40_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_1, e0, e1, simplifying with (160), (8938)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8951) all_52_14 = all_46_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (8944) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8952) all_52_6 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (8949) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8953) all_52_9 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8950), (8951) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8954) all_46_1 = all_40_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8954) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8955) all_46_1 = all_40_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (8950) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8956) all_54_11 = all_40_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (8953) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8957) ~ (all_52_13 = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8957) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8958) ~ (all_52_13 = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (8950) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8959) ~ (all_52_13 = all_40_1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8928), (8950) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8960) ~ (all_40_1 = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8771), (8950) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8961) ~ (all_40_1 = e0)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8962) all_54_7 = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (193), (269), (8939), (8955), (8956),
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8959), (8960), (8961), (8962), (function-axioms)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #270.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8963) ~ (all_54_7 = e3)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8964) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (8963) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8965) ~ (all_52_13 = e3)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8966) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8966) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8967) all_58_2 = e3 & op(e2, e3) = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8967) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8968) all_58_2 = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8969) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8969) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8970) all_58_2 = e2 & op(e2, e3) = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8968), (8970) are inconsistent by sub-proof
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8971) all_58_3 = e2 & op(e2, e2) = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8819), (8971), (function-axioms) are
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8972) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8972) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8973) all_58_5 = e2 & op(e2, e1) = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8973) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8974) all_58_5 = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8948), (8974) are inconsistent by sub-proof
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1898.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8975) all_58_10 = e2 & op(e2, e0) = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8975) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8976) all_58_10 = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8977) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (8889), (8968), (8977),
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #511.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8978) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8978) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8979) all_58_6 = e2 & op(e1, e3) = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8979) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8980) all_58_6 = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8981) op(e1, e3) = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8964) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8982) all_54_7 = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8982) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8983) all_52_13 = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8983) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8984) all_52_13 = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8959), (8984) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8985) ~ (all_40_1 = e2)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8985) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8986) ~ (all_40_1 = e2)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (8984) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8987) op(e2, e0) = e2
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8988) all_54_11 = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8956), (8988) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8989) all_40_1 = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8989) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8990) all_40_1 = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8934), (8990) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8991) op(e1, e0) = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8992) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8992) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8993) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8993) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8994) op(e1, e2) = all_56_7
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8995) all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2, e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_4 & $i(all_56_4))
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8996) all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) =
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 & $i(all_56_6))
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8996) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8997) all_56_7 = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8994), (8997) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8998) op(e1, e2) = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8999) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8999) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9000) all_58_6 = e3 & op(e1, e3) = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9000) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9001) all_58_6 = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8980), (9001) are inconsistent by sub-proof
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #269.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9002) all_58_7 = e3 & op(e1, e2) = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9002) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9003) all_58_7 = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8943), (9003) are inconsistent by sub-proof
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1803.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9004) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9004) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9005) all_58_8 = e3 & op(e1, e1) = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9005) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9006) all_58_8 = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (9006) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9007) e3 = e0
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9007) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9008) e3 = e0
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8968), (9008) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9009) all_58_2 = e0
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (234), (8819), (8948), (8976),
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9009), (function-axioms) are inconsistent by
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #757.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9010) all_58_11 = e3 & op(e1, e0) = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9010) implies:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9011) all_58_11 = e3
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8995) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9012) all_56_13 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8815), (9012) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9013) e1 = e0
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8948), (9013) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9014) all_58_5 = e0
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (8819), (8968), (8987),
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9014), (function-axioms) are inconsistent by
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #846.
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9015) ~ (all_56_13 = e1)
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e2,
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (8944), (8998) gives:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9016) e3 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9011), (9016) imply:
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9017) all_58_11 = e1
% 201.27/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (221),
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (358), (8930), (8976), (9017),
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #616.
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9018) ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6)
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9018) implies:
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9019) ~ (all_56_6 = e2)
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9020) op(e1, e3) = all_56_6
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8981), (9019), (9020), (function-axioms) are
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1740.
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9021) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9021) implies:
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9022) op(e0, e1) = all_56_11
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9023) ~ (all_56_15 = e1) | all_56_11 = e0
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8762), (8797), (8927), (9022), (9023),
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #267.
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9024) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9024) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9025) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9025) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9026) op(e1, e0) = all_56_8
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9027) ~ (all_56_14 = e0) | all_56_8 = e1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8765), (8928), (9026), (9027),
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #265.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9028) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9028) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9029) op(e1, e3) = all_56_6
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9030) all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0) =
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 & $i(all_56_8))
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9030) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9031) all_56_6 = e0
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9029), (9031) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9032) op(e1, e3) = e0
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8766), (9032), (function-axioms) are
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9033) ~ (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8991), (9033), (function-axioms) are inconsistent
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #694.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9034) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (197), (269), (8846), (8939), (8955),
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8956), (8958), (8959), (8960), (8961), (9034),
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1245.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9035) all_54_7 = e1 | all_54_7 = e0
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8846), (8958), (9035) are inconsistent by
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1697.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9036) all_58_12 = e2 & op(e0, e3) = e2
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9036) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9037) all_58_12 = e2
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (163), (239), (8766), (8889),
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8968), (9037), (function-axioms) are inconsistent
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #264.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9038) all_58_3 = e3 & op(e2, e2) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9038) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9039) op(e2, e2) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8819), (9039), (function-axioms) are
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9040) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9040) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9041) all_58_5 = e3 & op(e2, e1) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8948), (9041) are inconsistent by sub-proof
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #909.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9042) all_58_10 = e3 & op(e2, e0) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9042) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9043) op(e2, e0) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8965), (9043), (function-axioms) are
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9044) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9044) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9045) all_58_8 = e1 & op(e1, e1) = e1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8780), (9045) are inconsistent by sub-proof
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #263.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9046) all_58_14 = e1 & op(e0, e1) = e1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9046) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9047) all_58_14 = e1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (218), (219),
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799), (8834), (8930), (9047), (function-axioms)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #262.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9048) all_58_13 = e1 & op(e0, e2) = e1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9048) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9049) all_58_13 = e1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9050) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9050) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9051) all_58_6 = e1 & op(e1, e3) = e1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9051) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9052) op(e1, e3) = e1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8893), (8908), (9052), (function-axioms) are
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1466.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9053) all_58_7 = e1 & op(e1, e2) = e1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9053) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9054) all_58_7 = e1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9055) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9055) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9056) all_58_1 = e3 & op(e3, e2) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9056) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9057) all_58_1 = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9058) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (218),
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (358), (8930), (9049),
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9057), (9058), (function-axioms) are inconsistent
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #261.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9059) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9059) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9060) all_58_14 = e3 & op(e0, e1) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9060) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9061) all_58_14 = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9062) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9062) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9063) all_58_1 = e2 & op(e3, e2) = e2
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9063) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9064) all_58_1 = e2
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9057), (9064) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9065) e3 = e2
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9061), (9065) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9066) all_58_14 = e2
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9055) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9067) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (218),
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (358), (8930), (9049),
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9057), (9067), (function-axioms) are inconsistent
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #261.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (8930), (9059), (9066),
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #797.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9068) all_58_3 = e3 & op(e2, e2) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9068) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9069) op(e2, e2) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8819), (9069), (function-axioms) are
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9070) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9070) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9071) all_58_7 = e3 & op(e1, e2) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9054), (9071) are inconsistent by sub-proof
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1687.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9072) all_58_13 = e3 & op(e0, e2) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9049), (9072) are inconsistent by sub-proof
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1733.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9073) all_58_3 = e2 & op(e2, e2) = e2
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8819), (9073), (function-axioms) are
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9074) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9074) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9075) all_58_7 = e2 & op(e1, e2) = e2
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9054), (9075) are inconsistent by sub-proof
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1826.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9076) all_58_13 = e2 & op(e0, e2) = e2
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9049), (9076) are inconsistent by sub-proof
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1735.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9077) all_58_15 = e3 & op(e0, e0) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9077) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9078) op(e0, e0) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8930), (9078), (function-axioms) are
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9079) all_58_3 = e3 & op(e2, e2) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9079) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9080) op(e2, e2) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (235), (237), (9049),
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9054), (9080), (function-axioms) are inconsistent
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #259.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9081) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9081) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9082) all_58_7 = e3 & op(e1, e2) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9082) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9083) all_58_7 = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9054), (9083) are inconsistent by sub-proof
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1803.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9084) all_58_13 = e3 & op(e0, e2) = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9084) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9085) all_58_13 = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9049), (9085) are inconsistent by sub-proof
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1808.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9086) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9086) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9087) all_58_8 = e1 & op(e1, e1) = e1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8780), (9087) are inconsistent by sub-proof
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #263.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9088) all_58_11 = e1 & op(e1, e0) = e1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9088) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9089) all_58_11 = e1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9090) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (221),
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (358), (8837), (8930), (9089), (9090),
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #350.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9091) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8930), (9089), (9091), (function-axioms) are
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1300.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9092) all_54_15 = e0
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (358), (9092) are inconsistent by sub-proof
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1323.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (9093) all_30_2 = e2
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (9094) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0)))
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9094) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (9095) op(e2, e0) = all_30_1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (9093) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (9096) all_10_2 = e2
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (9096) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (9097) all_42_2 = e2
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (9096) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (9098) all_56_15 = e2
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (9096) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (9099) ~ (all_52_13 = e2)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (9096) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (9100) ~ (all_52_14 = e2)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8799), (9096) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (9101) ~ (e3 = e2)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9102) ~ (all_42_2 = e2)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9097), (9102) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9103) $false
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9103) is inconsistent.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9104) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9104) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9105) op(e2, e0) = all_42_1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9106) ~ (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0))
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (9095)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9107) all_52_13 = all_30_1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (9105)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9108) all_52_13 = all_42_1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9107), (9108) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9109) all_42_1 = all_30_1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9109) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9110) all_42_1 = all_30_1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (9107) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9111) all_54_7 = all_30_1
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9107) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9112) ~ (all_52_1 = all_30_1)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (9107) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9113) ~ (all_52_14 = all_30_1)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9113) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9114) ~ (all_52_14 = all_30_1)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9099), (9107) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9115) ~ (all_30_1 = e2)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8846), (9107) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9116) ~ (all_30_1 = e0)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9117) all_54_4 = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (9117) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9118) all_52_1 = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9118) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9119) all_52_1 = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (9119) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9120) ~ (all_52_9 = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9120) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9121) ~ (all_52_9 = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9112), (9119) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9122) ~ (all_30_1 = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9122) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9123) ~ (all_30_1 = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8903), (9119) imply:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9124) ~ (all_28_1 = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9124) implies:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9125) ~ (all_28_1 = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9126) all_54_8 = e3
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8902), (9125), (9126) are inconsistent by
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1475.
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9127) ~ (all_54_8 = e3)
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9128) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9129) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9129) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9130) all_58_0 = e3 & op(e3, e3) = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8889), (9130), (function-axioms) are
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9131) all_58_2 = e3 & op(e2, e3) = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9131) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9132) all_58_2 = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9128) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9133) all_54_8 = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8902), (9133) imply:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9134) all_28_1 = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9134) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9135) all_28_1 = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8905), (9135) imply:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9136) ~ (all_52_6 = e2)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9137) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9137) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9138) all_58_6 = e2 & op(e1, e3) = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9138) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9139) all_58_6 = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9140) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9140) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9141) all_58_1 = e2 & op(e3, e2) = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9141) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9142) all_58_1 = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9143) all_54_7 = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9111), (9123), (9143) are inconsistent by
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1079.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9144) ~ (all_54_7 = e3)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9145) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9145) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9146) all_54_7 = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9111), (9115), (9146) are inconsistent by
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1684.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9147) ~ (all_54_7 = e2)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9148) all_54_7 = e1 | all_54_7 = e0
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9148) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9149) all_54_7 = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9111), (9149) imply:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9150) all_30_1 = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9150) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9151) all_30_1 = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9110), (9151) imply:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9152) all_42_1 = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9115), (9151) imply:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9153) ~ (e2 = e1)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9106) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9154) ~ (all_42_1 = e1)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9152), (9154) imply:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9155) $false
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9155) is inconsistent.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9156) ~ (all_42_0 = e3) & op(e1, e0) = all_42_0 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9156) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9157) ~ (all_42_0 = e3)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9158) op(e1, e0) = all_42_0
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9159) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9159) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9160) all_58_9 = e3 & op(e3, e0) = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (169), (240), (8768), (8889),
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9142), (9160), (function-axioms) are inconsistent
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #258.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9161) all_58_10 = e3 & op(e2, e0) = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9161) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9162) all_58_10 = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (232), (233),
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9132), (9162) are inconsistent by sub-proof #876.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9163) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9163) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9164) all_58_11 = e3 & op(e1, e0) = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9164) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9165) op(e1, e0) = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9157), (9158), (9165), (function-axioms) are
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #640.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9166) all_58_15 = e3 & op(e0, e0) = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8799), (9166), (function-axioms) are
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9167) all_54_7 = e0
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9111), (9116), (9167) are inconsistent by
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1678.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9168) all_58_3 = e2 & op(e2, e2) = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8819), (9168), (function-axioms) are
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9169) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9169) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9170) all_58_7 = e2 & op(e1, e2) = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9170) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9171) op(e1, e2) = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9136), (9171), (function-axioms) are
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1032.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9172) all_58_13 = e2 & op(e0, e2) = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9172) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9173) all_58_13 = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9174) all_54_7 = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9111), (9123), (9174) are inconsistent by
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1079.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9175) ~ (all_54_7 = e3)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9176) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9176) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9177) all_54_7 = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9111), (9115), (9177) are inconsistent by
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1684.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9178) ~ (all_54_7 = e2)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9179) all_54_7 = e1 | all_54_7 = e0
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9179) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9180) all_54_7 = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9111), (9180) imply:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9181) all_30_1 = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9181) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9182) all_30_1 = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9114), (9182) imply:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9183) ~ (all_52_14 = e1)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9115), (9182) imply:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9184) ~ (e2 = e1)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9095), (9182) imply:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9185) op(e2, e0) = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9186) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9186) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9187) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9187) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9188) op(e0, e2) = all_56_10
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9189) ~ (all_56_15 = e2) | all_56_10 = e0
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8823), (8911), (9098), (9188), (9189),
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1427.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9190) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9190) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9191) all_56_1 = e0 | ( ~ (all_56_2 = e1) & op(e3, e0) =
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 & $i(all_56_2))
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9192) ~ (all_56_12 = e1) | all_56_1 = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9193) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9193) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9194) all_58_9 = e1 & op(e3, e0) = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9194) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9195) op(e3, e0) = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8883), (9191), (9192), (9195),
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #774.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9196) all_58_10 = e1 & op(e2, e0) = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9196) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9197) all_58_10 = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9198) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9198) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9199) all_58_4 = e1 & op(e3, e1) = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8887), (9199), (function-axioms) are
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #302.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9200) all_58_5 = e1 & op(e2, e1) = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9200) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9201) all_58_5 = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (165), (233), (234),
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8831), (9121), (9185), (9197), (9201),
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1536.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9202) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9202) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9203) all_58_8 = e1 & op(e1, e1) = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9203) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9204) all_58_8 = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (9204) imply:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9205) e1 = e0
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9197), (9205) imply:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9206) all_58_10 = e0
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (233), (234),
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8819), (9206), (function-axioms) are inconsistent
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #755.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9207) all_58_14 = e1 & op(e0, e1) = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9207) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9208) all_58_14 = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (45), (219), (8799), (8873),
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9173), (9208), (function-axioms) are inconsistent
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #257.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9209) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9209) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9210) all_58_11 = e1 & op(e1, e0) = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9210) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9211) op(e1, e0) = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (9183), (9211), (function-axioms) are
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #266.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9212) all_58_15 = e1 & op(e0, e0) = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9212) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9213) op(e0, e0) = e1
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (160), (221), (8837), (9100), (9185),
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9213), (function-axioms) are inconsistent by
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #897.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9214) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9214) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9215) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9215) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9216) op(e2, e0) = all_56_5
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217) ~ (all_56_13 = e0) | all_56_5 = e2
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (164), (8815), (9095), (9097), (9099),
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9216), (9217), (function-axioms) are inconsistent
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1423.
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9218) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9219) op(e0, e3) = all_56_9
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9220) all_56_9 = e1 | ( ~ (all_56_11 = e3) & op(e0, e1)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9221) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9221) gives:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9222) all_58_12 = e3 & op(e0, e3) = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9222) implies:
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9223) all_58_12 = e3
% 201.42/33.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (239), (8889), (9132), (9139),
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9223), (function-axioms) are inconsistent by
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1384.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9224) all_58_13 = e3 & op(e0, e2) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9224) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9225) all_58_13 = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9173), (9225) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1825.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9226) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9226) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9227) all_58_14 = e3 & op(e0, e1) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9227) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9228) op(e0, e1) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8874), (9219), (9220), (9228),
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #256.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9229) all_58_15 = e3 & op(e0, e0) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8799), (9229), (function-axioms) are
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9230) all_54_7 = e0
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9111), (9116), (9230) are inconsistent by
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1678.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9231) all_58_7 = e2 & op(e1, e2) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9231) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9232) op(e1, e2) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9136), (9232), (function-axioms) are
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1032.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9233) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (8780), (9100), (9233),
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #255.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9234) all_54_8 = e1 | all_54_8 = e0
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8902), (8908), (8909), (9234) are inconsistent by
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1472.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9235) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9235) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9236) all_58_6 = e3 & op(e1, e3) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9236) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9237) all_58_6 = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9238) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9238) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9239) all_58_6 = e2 & op(e1, e3) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9237), (9239) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1852.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9240) all_58_7 = e2 & op(e1, e2) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9240) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9241) op(e1, e2) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9128) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9242) all_54_8 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8902), (9242) imply:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9243) all_28_1 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9243) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9244) all_28_1 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8905), (9244) imply:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9245) ~ (all_52_6 = e2)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9241), (9245), (function-axioms) are
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1032.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9246) all_54_8 = e1 | all_54_8 = e0
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8902), (8908), (8909), (9246) are inconsistent by
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1472.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9247) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (8780), (9100), (9247),
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #255.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9248) all_58_12 = e3 & op(e0, e3) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9248) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9249) all_58_12 = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8873), (9249) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1640.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9250) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9251) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9251) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9252) all_58_0 = e3 & op(e3, e3) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8889), (9252), (function-axioms) are
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9253) all_58_2 = e3 & op(e2, e3) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9253) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9254) all_58_2 = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9255) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9255) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9256) all_58_2 = e2 & op(e2, e3) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9254), (9256) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9257) all_58_3 = e2 & op(e2, e2) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8819), (9257), (function-axioms) are
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9258) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9258) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9259) all_58_5 = e2 & op(e2, e1) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9259) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9260) op(e2, e1) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9250) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9261) all_54_4 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (9261) imply:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9262) all_52_1 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9262) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9263) all_52_1 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (9263) imply:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9264) ~ (all_52_9 = e2)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9264) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9265) ~ (all_52_9 = e2)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9260), (9265), (function-axioms) are
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #254.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9266) all_54_4 = e1 | all_54_4 = e0
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (8816), (8884), (9266) are inconsistent by
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1703.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9267) all_58_10 = e2 & op(e2, e0) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9267) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9268) op(e2, e0) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (164), (9095), (9097), (9099), (9268),
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1424.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9269) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9269) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9270) all_58_6 = e3 & op(e1, e3) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9270) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9271) all_58_6 = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9272) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9272) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9273) all_58_6 = e2 & op(e1, e3) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9271), (9273) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1852.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9274) all_58_7 = e2 & op(e1, e2) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9274) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9275) all_58_7 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9250) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9276) all_54_4 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (9276) imply:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9277) all_52_1 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9277) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9278) all_52_1 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8903), (9278) imply:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9279) ~ (all_28_1 = e2)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9279) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9280) ~ (all_28_1 = e2)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9281) all_54_8 = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8902), (9281) imply:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9282) all_28_1 = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9282) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9283) all_28_1 = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8907), (9283) imply:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9284) ~ (all_52_14 = e3)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9285) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9285) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9286) all_58_6 = e1 & op(e1, e3) = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9286) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9287) op(e1, e3) = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8893), (8908), (9287), (function-axioms) are
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1466.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9288) all_58_7 = e1 & op(e1, e2) = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9275), (9288) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1835.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9289) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9289) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9290) all_58_8 = e1 & op(e1, e1) = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8780), (9290) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #263.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9291) all_58_11 = e1 & op(e1, e0) = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9291) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9292) all_58_11 = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9293) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9293) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9294) all_58_1 = e1 & op(e3, e2) = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9294) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9295) all_58_1 = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (233), (234),
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (244), (246), (8819), (8831), (8835),
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8889), (9292), (9295), (function-axioms) are
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #886.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9296) all_58_3 = e1 & op(e2, e2) = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8819), (9296), (function-axioms) are
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9297) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9297) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9298) all_58_7 = e1 & op(e1, e2) = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9275), (9298) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1835.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9299) all_58_13 = e1 & op(e0, e2) = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9299) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9300) all_58_13 = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9301) op(e0, e2) = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9302) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9302) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9303) all_58_12 = e3 & op(e0, e3) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9303) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9304) all_58_12 = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8873), (9304) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1640.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9305) all_58_13 = e3 & op(e0, e2) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9305) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9306) all_58_13 = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9300), (9306) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1808.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9307) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9307) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9308) all_58_14 = e3 & op(e0, e1) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9308) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9309) all_58_14 = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9310) op(e0, e1) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9311) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9311) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9312) all_58_4 = e1 & op(e3, e1) = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8887), (9312), (function-axioms) are
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #302.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9313) all_58_5 = e1 & op(e2, e1) = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9313) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9314) all_58_5 = e1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9315) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9315) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9316) all_58_0 = e2 & op(e3, e3) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9316) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9317) op(e3, e3) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8889), (9317), (function-axioms) are
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9318) all_58_2 = e2 & op(e2, e3) = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9318) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9319) all_58_2 = e2
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9320) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9320) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9321) all_58_9 = e3 & op(e3, e0) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9321) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9322) all_58_9 = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8837), (9322) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1606.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9323) all_58_10 = e3 & op(e2, e0) = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9323) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9324) all_58_10 = e3
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9325) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9325) gives:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9326) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9326) implies:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9327) op(e0, e2) = all_56_10
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9328) ~ (all_56_15 = e2) | all_56_10 = e0
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8823), (8911), (9098), (9327), (9328),
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1427.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9329) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9301), (9310), (9329), (function-axioms) are
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #631.
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9330) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9330) gives:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9331) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9331) implies:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9332) op(e2, e0) = all_56_5
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9333) ~ (all_56_13 = e0) | all_56_5 = e2
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (164), (8815), (9095), (9097), (9099),
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9332), (9333), (function-axioms) are inconsistent
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1423.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9334) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9334) implies:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9335) op(e0, e3) = all_56_9
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9336) all_56_9 = e1 | ( ~ (all_56_11 = e3) & op(e0, e1)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (232), (279), (8816), (8831), (8874),
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8884), (9250), (9310), (9314), (9319), (9324),
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9335), (9336), (function-axioms) are inconsistent
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #824.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9337) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (8799), (9284), (9337),
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9338) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9338) gives:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9339) all_58_6 = e2 & op(e1, e3) = e2
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9271), (9339) are inconsistent by sub-proof
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1852.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9340) all_58_12 = e2 & op(e0, e3) = e2
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9340) implies:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9341) all_58_12 = e2
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8873), (9341) are inconsistent by sub-proof
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1106.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9342) gives:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9343) all_58_8 = e1 & op(e1, e1) = e1
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9343) implies:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9344) all_58_8 = e1
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (9344) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9345) e1 = e0
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (224), (226), (8780),
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9275), (9292), (9345) are inconsistent by
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #249.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9346) all_58_14 = e1 & op(e0, e1) = e1
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9309), (9346) are inconsistent by sub-proof
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #751.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9347) all_58_15 = e3 & op(e0, e0) = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8799), (9347), (function-axioms) are
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9348) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8902), (8908), (8909), (9280), (9348) are
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #850.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9349) all_54_4 = e1 | all_54_4 = e0
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (8816), (8884), (9349) are inconsistent by
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1703.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9350) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (8780), (9100), (9350),
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #255.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9351) all_58_12 = e3 & op(e0, e3) = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9351) implies:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9352) all_58_12 = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8873), (9352) are inconsistent by sub-proof
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1640.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | (9353) all_54_0 = e0
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (9353) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | (9354) all_14_2 = e0
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8849), (9354) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | (9355) $false
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9355) is inconsistent.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | (9356) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 201.42/33.53 | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.42/33.53 | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 201.42/33.53 | | | | | | | | | | | | | | | | | | (232), (233), (234), (8780), (8819), (9356),
% 201.42/33.53 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.53 | | | | | | | | | | | | | | | | | | #244.
% 201.42/33.53 | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | (9357) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.42/33.53 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.42/33.53 | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (232), (233),
% 201.42/33.53 | | | | | | | | | | | | | | | (234), (8769), (8819), (9357), (function-axioms)
% 201.42/33.53 | | | | | | | | | | | | | | | are inconsistent by sub-proof #243.
% 201.42/33.53 | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | |
% 201.42/33.53 | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | |
% 201.42/33.53 | | | | | | | | | (9358) all_16_2 = e3
% 201.42/33.53 | | | | | | | | | (9359) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~ (all_16_1
% 201.42/33.53 | | | | | | | | | = e1) | ( ~ (all_16_0 = e0) & op(e1, e2) =
% 201.42/33.53 | | | | | | | | | all_16_0 & $i(all_16_0)))
% 201.42/33.53 | | | | | | | | |
% 201.42/33.53 | | | | | | | | | ALPHA: (9359) implies:
% 201.42/33.53 | | | | | | | | | (9360) op(e3, e2) = all_16_1
% 201.42/33.53 | | | | | | | | | (9361) ~ (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 201.42/33.53 | | | | | | | | | e2) = all_16_0 & $i(all_16_0))
% 201.42/33.53 | | | | | | | | |
% 201.42/33.53 | | | | | | | | | COMBINE_EQS: (345), (9358) imply:
% 201.42/33.53 | | | | | | | | | (9362) all_6_2 = e3
% 201.42/33.53 | | | | | | | | |
% 201.42/33.53 | | | | | | | | | COMBINE_EQS: (349), (9362) imply:
% 201.42/33.53 | | | | | | | | | (9363) all_38_2 = e3
% 201.42/33.53 | | | | | | | | |
% 201.42/33.53 | | | | | | | | | COMBINE_EQS: (354), (9362) imply:
% 201.42/33.53 | | | | | | | | | (9364) all_56_13 = e3
% 201.42/33.53 | | | | | | | | |
% 201.42/33.53 | | | | | | | | | REDUCE: (371), (9362) imply:
% 201.42/33.53 | | | | | | | | | (9365) ~ (all_52_1 = e3)
% 201.42/33.53 | | | | | | | | |
% 201.42/33.53 | | | | | | | | | REDUCE: (374), (9362) imply:
% 201.42/33.53 | | | | | | | | | (9366) ~ (all_52_4 = e3)
% 201.42/33.53 | | | | | | | | |
% 201.42/33.53 | | | | | | | | | REDUCE: (378), (9362) imply:
% 201.42/33.53 | | | | | | | | | (9367) ~ (all_52_7 = e3)
% 201.42/33.53 | | | | | | | | |
% 201.42/33.53 | | | | | | | | | REDUCE: (380), (9362) imply:
% 201.42/33.53 | | | | | | | | | (9368) ~ (all_52_9 = e3)
% 201.42/33.53 | | | | | | | | |
% 201.42/33.53 | | | | | | | | | REDUCE: (382), (9362) imply:
% 201.42/33.53 | | | | | | | | | (9369) ~ (all_52_13 = e3)
% 201.42/33.53 | | | | | | | | |
% 201.42/33.53 | | | | | | | | | REDUCE: (39), (9362) imply:
% 201.42/33.53 | | | | | | | | | (9370) op(e2, e2) = e3
% 201.42/33.53 | | | | | | | | |
% 201.42/33.53 | | | | | | | | | BETA: splitting (88) gives:
% 201.42/33.53 | | | | | | | | |
% 201.42/33.53 | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | (9371) ~ (all_38_2 = e3)
% 201.42/33.53 | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | REDUCE: (9363), (9371) imply:
% 201.42/33.53 | | | | | | | | | | (9372) $false
% 201.42/33.53 | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | CLOSE: (9372) is inconsistent.
% 201.42/33.53 | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | (9373) op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 201.42/33.53 | | | | | | | | | | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0,
% 201.42/33.53 | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 201.42/33.53 | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | ALPHA: (9373) implies:
% 201.42/33.53 | | | | | | | | | | (9374) op(e3, e2) = all_38_1
% 201.42/33.53 | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | BETA: splitting (234) gives:
% 201.42/33.53 | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | (9375) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 201.42/33.53 | | | | | | | | | | | & op(e2, e2) = e3)
% 201.42/33.53 | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | BETA: splitting (9375) gives:
% 201.42/33.53 | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | (9376) all_58_2 = e3 & op(e2, e3) = e3
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | ALPHA: (9376) implies:
% 201.42/33.53 | | | | | | | | | | | | (9377) all_58_2 = e3
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (231), (232),
% 201.42/33.53 | | | | | | | | | | | | (233), (8769), (9370), (9377), (function-axioms)
% 201.42/33.53 | | | | | | | | | | | | are inconsistent by sub-proof #240.
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | (9378) all_58_3 = e3 & op(e2, e2) = e3
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | ALPHA: (9378) implies:
% 201.42/33.53 | | | | | | | | | | | | (9379) all_58_3 = e3
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 201.42/33.53 | | | | | | | | | | | | all_16_1, e2, e3, simplifying with (170), (9360)
% 201.42/33.53 | | | | | | | | | | | | gives:
% 201.42/33.53 | | | | | | | | | | | | (9380) all_52_4 = all_16_1
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 201.42/33.53 | | | | | | | | | | | | all_38_1, e2, e3, simplifying with (170), (9374)
% 201.42/33.53 | | | | | | | | | | | | gives:
% 201.42/33.53 | | | | | | | | | | | | (9381) all_52_4 = all_38_1
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | COMBINE_EQS: (9380), (9381) imply:
% 201.42/33.53 | | | | | | | | | | | | (9382) all_38_1 = all_16_1
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | SIMP: (9382) implies:
% 201.42/33.53 | | | | | | | | | | | | (9383) all_38_1 = all_16_1
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | COMBINE_EQS: (282), (9380) imply:
% 201.42/33.53 | | | | | | | | | | | | (9384) all_54_1 = all_16_1
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | REDUCE: (136), (9380) imply:
% 201.42/33.53 | | | | | | | | | | | | (9385) ~ (all_52_6 = all_16_1)
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | SIMP: (9385) implies:
% 201.42/33.53 | | | | | | | | | | | | (9386) ~ (all_52_6 = all_16_1)
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | REDUCE: (134), (9380) imply:
% 201.42/33.53 | | | | | | | | | | | | (9387) ~ (all_52_8 = all_16_1)
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | SIMP: (9387) implies:
% 201.42/33.53 | | | | | | | | | | | | (9388) ~ (all_52_8 = all_16_1)
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | REDUCE: (133), (9380) imply:
% 201.42/33.53 | | | | | | | | | | | | (9389) ~ (all_52_12 = all_16_1)
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | SIMP: (9389) implies:
% 201.42/33.53 | | | | | | | | | | | | (9390) ~ (all_52_12 = all_16_1)
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | REDUCE: (366), (9380) imply:
% 201.42/33.53 | | | | | | | | | | | | (9391) ~ (all_16_1 = all_14_2)
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | REDUCE: (9366), (9380) imply:
% 201.42/33.53 | | | | | | | | | | | | (9392) ~ (all_16_1 = e3)
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | BETA: splitting (73) gives:
% 201.42/33.53 | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | (9393) ~ (all_28_2 = e1)
% 201.42/33.53 | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | REDUCE: (334), (9393) imply:
% 201.42/33.53 | | | | | | | | | | | | | (9394) ~ (all_14_2 = e1)
% 201.42/33.53 | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | BETA: splitting (204) gives:
% 201.42/33.53 | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | (9395) all_54_0 = e3
% 201.42/33.53 | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | COMBINE_EQS: (292), (9395) imply:
% 201.42/33.53 | | | | | | | | | | | | | | (9396) all_14_2 = e3
% 201.42/33.53 | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | REDUCE: (355), (9396) imply:
% 201.42/33.53 | | | | | | | | | | | | | | (9397) $false
% 201.42/33.53 | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | CLOSE: (9397) is inconsistent.
% 201.42/33.53 | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | (9398) ~ (all_54_0 = e3)
% 201.42/33.53 | | | | | | | | | | | | | | (9399) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 201.42/33.53 | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | BETA: splitting (9399) gives:
% 201.42/33.53 | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | (9400) all_54_0 = e2
% 201.42/33.53 | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | COMBINE_EQS: (292), (9400) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | (9401) all_14_2 = e2
% 201.42/33.53 | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | REDUCE: (8800), (9401) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | (9402) $false
% 201.42/33.53 | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | CLOSE: (9402) is inconsistent.
% 201.42/33.53 | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | (9403) ~ (all_54_0 = e2)
% 201.42/33.53 | | | | | | | | | | | | | | | (9404) all_54_0 = e1 | all_54_0 = e0
% 201.42/33.53 | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | BETA: splitting (9404) gives:
% 201.42/33.53 | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | (9405) all_54_0 = e1
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (9405) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | (9406) all_14_2 = e1
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | REDUCE: (9394), (9406) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | (9407) $false
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | CLOSE: (9407) is inconsistent.
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | (9408) all_54_0 = e0
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (9408) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | (9409) all_14_2 = e0
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (9409) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | (9410) all_34_2 = e0
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (9409) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | (9411) all_44_2 = e0
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (9409) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | (9412) all_56_12 = e0
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | REDUCE: (364), (9409) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | (9413) ~ (all_52_3 = e0)
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | REDUCE: (355), (9409) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | (9414) ~ (e3 = e0)
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | REDUCE: (8800), (9409) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | (9415) ~ (e2 = e0)
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | REDUCE: (51), (9409) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | (9416) op(e3, e3) = e0
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 201.42/33.53 | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | (9417) ~ (all_34_2 = e0)
% 201.42/33.53 | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | REDUCE: (9410), (9417) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | | (9418) $false
% 201.42/33.53 | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | CLOSE: (9418) is inconsistent.
% 201.42/33.53 | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | (9419) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 201.42/33.53 | | | | | | | | | | | | | | | | | (all_34_1 = e2) | ( ~ (all_34_0 = e1) & op(e2,
% 201.42/33.53 | | | | | | | | | | | | | | | | | e3) = all_34_0 & $i(all_34_0)))
% 201.42/33.53 | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | ALPHA: (9419) implies:
% 201.42/33.53 | | | | | | | | | | | | | | | | | (9420) op(e0, e3) = all_34_1
% 201.42/33.53 | | | | | | | | | | | | | | | | | (9421) ~ (all_34_1 = e2) | ( ~ (all_34_0 = e1) & op(e2,
% 201.42/33.53 | | | | | | | | | | | | | | | | | e3) = all_34_0 & $i(all_34_0))
% 201.42/33.53 | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.42/33.53 | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | (9422) all_58_15 = e0 & op(e0, e0) = e0
% 201.42/33.53 | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (9422), (function-axioms) are
% 201.42/33.53 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.42/33.53 | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | (9423) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.42/33.53 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.42/33.53 | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.42/33.53 | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.42/33.53 | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.42/33.53 | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | ALPHA: (9423) implies:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | (9424) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.42/33.53 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.42/33.53 | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | (9425) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.42/33.53 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 201.42/33.53 | | | | | | | | | | | | | | | | | | e0) = e0)
% 201.42/33.53 | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | BETA: splitting (9425) gives:
% 201.42/33.53 | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | (9426) all_58_9 = e0 & op(e3, e0) = e0
% 201.42/33.53 | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | ALPHA: (9426) implies:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | (9427) all_58_9 = e0
% 201.42/33.53 | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | (9428) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9428) gives:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | (9429) all_58_9 = e3 & op(e3, e0) = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9427), (9429) are inconsistent by sub-proof
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | #1911.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | (9430) all_58_10 = e3 & op(e2, e0) = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9430) implies:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | (9431) op(e2, e0) = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9369), (9431), (function-axioms) are
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | (9432) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9432) gives:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | (9433) all_58_11 = e3 & op(e1, e0) = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9433) implies:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | (9434) all_58_11 = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | (9435) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (242), (244),
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | (9416), (9427), (9435), (function-axioms) are
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #239.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | (9436) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9436) gives:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | (9437) all_58_4 = e3 & op(e3, e1) = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9437) implies:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | (9438) all_58_4 = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (9416),
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | (9427), (9438), (function-axioms) are inconsistent
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1001.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | (9439) all_58_9 = e3 & op(e3, e0) = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9439) implies:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | (9440) all_58_9 = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9427), (9440) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | (9441) e3 = e0
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9434), (9441) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | (9442) all_58_11 = e0
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | | (8780), (9442) are inconsistent by sub-proof #245.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | (9443) all_58_15 = e3 & op(e0, e0) = e3
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8799), (9443), (function-axioms) are
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.53 | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | (9444) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (9444) gives:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | (9445) all_58_10 = e0 & op(e2, e0) = e0
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | ALPHA: (9445) implies:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | (9446) all_58_10 = e0
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | (9447) op(e2, e0) = e0
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | (9448) ~ (all_44_2 = e0)
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9411), (9448) imply:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | (9449) $false
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | | CLOSE: (9449) is inconsistent.
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.53 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | (9450) op(e0, e3) = all_44_1 & $i(all_44_1) & ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9450) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | (9451) op(e0, e3) = all_44_1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | (9452) ~ (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0))
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | (9453) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9453) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9454) all_58_1 = e0 & op(e3, e2) = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9454) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9455) all_58_1 = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (242), (244), (246),
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9416), (9455), (function-axioms) are inconsistent
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #237.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9456) all_58_3 = e0 & op(e2, e2) = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9456) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9457) all_58_3 = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9458) op(e2, e2) = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (233), (234),
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9446), (9457), (9458), (function-axioms) are
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #992.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | (9459) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9459) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9460) all_58_7 = e0 & op(e1, e2) = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9460) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9461) op(e1, e2) = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8767), (9461), (function-axioms) are
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9462) all_58_13 = e0 & op(e0, e2) = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9462) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9463) all_58_13 = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9464) op(e0, e2) = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (9464) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9465) all_52_7 = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e3, e0, simplifying with (159), (9420)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9466) all_52_3 = all_34_1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | all_44_1, e3, e0, simplifying with (159), (9451)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9467) all_52_3 = all_44_1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (9447) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9468) all_52_13 = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9466), (9467) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9469) all_44_1 = all_34_1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (9466) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9470) all_54_12 = all_34_1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (9466) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9471) ~ (all_52_1 = all_34_1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9468) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9472) ~ (all_52_1 = e0)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (9466) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9473) ~ (all_52_2 = all_34_1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (9466) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9474) ~ (all_34_1 = all_10_2)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8791), (9466) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9475) ~ (all_34_1 = all_4_1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9413), (9466) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9476) ~ (all_34_1 = e0)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8792), (9465) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9477) ~ (all_4_1 = e0)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9468) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9478) ~ (all_52_12 = e0)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (9468) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9479) ~ (all_52_14 = e0)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (9468) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | (9480) ~ (all_10_2 = e0)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | (9481) ~ (all_30_2 = e2)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (9481) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | (9482) ~ (all_10_2 = e2)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | (9483) all_54_15 = e3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (8799), (9483) are inconsistent by
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1381.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | (9484) ~ (all_54_15 = e3)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | (9485) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9485) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (9486) all_54_15 = e2
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (9482), (9486) are inconsistent by
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1380.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (9487) ~ (all_54_15 = e2)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (9488) all_54_15 = e1 | all_54_15 = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9488) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9489) all_54_15 = e1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (9489) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9490) all_10_2 = e1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9490) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9491) all_10_2 = e1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (9491) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9492) all_40_2 = e1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (9491) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9493) all_56_15 = e1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (9491) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9494) ~ (all_52_12 = e1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (9491) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9495) ~ (all_52_14 = e1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9474), (9491) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9496) ~ (all_34_1 = e1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8796), (9491) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9497) ~ (all_4_1 = e1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9497) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9498) ~ (all_4_1 = e1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9482), (9491) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9499) ~ (e2 = e1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (9491) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9500) op(e0, e0) = e1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9501) ~ (all_40_2 = e1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9492), (9501) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9502) $false
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9502) is inconsistent.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9503) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_40_0 & $i(all_40_0)))
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9503) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9504) op(e1, e0) = all_40_1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9505) ~ (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_40_0 & $i(all_40_0))
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_1, e0, e1, simplifying with (160), (9504)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9506) all_52_14 = all_40_1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (9506) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9507) all_54_11 = all_40_1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (9506) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9508) ~ (all_52_12 = all_40_1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9495), (9506) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9509) ~ (all_40_1 = e1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8771), (9506) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9510) ~ (all_40_1 = e0)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9511) all_54_6 = e3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9368), (9511) are inconsistent by
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1881.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9512) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9513) all_54_4 = e3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (9365), (9513) are inconsistent by
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1750.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9514) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9515) all_54_14 = e3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (9515) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9516) all_4_1 = e3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9475), (9516) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9517) ~ (all_34_1 = e3)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8762), (9516) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9518) op(e0, e1) = e3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9519) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9520) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9520) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9521) op(e0, e2) = all_56_10
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9522) all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9523) all_54_12 = e3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9470), (9517), (9523) are inconsistent by
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1710.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9524) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9524) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9525) all_54_12 = e2
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9470), (9525) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9526) all_34_1 = e2
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9526) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9527) all_34_1 = e2
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9420), (9527) imply:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9528) op(e0, e3) = e2
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9367), (9521), (9522), (9528),
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #664.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9529) all_54_12 = e1 | all_54_12 = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9470), (9476), (9496), (9529) are inconsistent by
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1704.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9530) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9530) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9531) op(e0, e1) = all_56_11
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9532) ~ (all_56_15 = e1) | all_56_11 = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8762), (8797), (9493), (9531), (9532),
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #267.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9533) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9533) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9534) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9534) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9535) op(e1, e0) = all_56_8
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9536) ~ (all_56_14 = e0) | all_56_8 = e1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8765), (9495), (9535), (9536),
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #265.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9537) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9537) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9538) op(e0, e3) = all_56_9
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9539) op(e2, e3) = all_56_3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9540) all_56_9 = e1 | ( ~ (all_56_11 = e3) & op(e0, e1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9541) all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9542) ~ (all_56_13 = e3) | all_56_3 = e2
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9543) all_54_12 = e3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9470), (9517), (9543) are inconsistent by
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1710.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9544) ~ (all_54_12 = e3)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9545) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9546) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9546) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9547) all_58_0 = e3 & op(e3, e3) = e3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9547) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9548) op(e3, e3) = e3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9416), (9548), (function-axioms) are
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9549) all_58_2 = e3 & op(e2, e3) = e3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9549) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9550) all_58_2 = e3
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9551) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9551) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9552) all_58_2 = e1 & op(e2, e3) = e1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9552) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9553) op(e2, e3) = e1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9364), (9539), (9542), (9553),
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #236.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9554) all_58_3 = e1 & op(e2, e2) = e1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9554) implies:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9555) op(e2, e2) = e1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9370), (9555), (function-axioms) are
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9556) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9556) gives:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9557) all_58_5 = e1 & op(e2, e1) = e1
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9557) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9558) all_58_5 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (232), (233),
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370), (9550), (9558), (function-axioms) are
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #241.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9559) all_58_10 = e1 & op(e2, e0) = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9559) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9560) all_58_10 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9446), (9560) are inconsistent by sub-proof
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1550.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9561) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9561) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9562) all_58_6 = e3 & op(e1, e3) = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9562) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9563) all_58_6 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9564) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9564) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9565) all_58_12 = e3 & op(e0, e3) = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9565) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9566) all_58_12 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9542) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9567) ~ (all_56_13 = e3)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9364), (9567) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9568) $false
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9568) is inconsistent.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9569) all_56_3 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9539), (9569) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9570) op(e2, e3) = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9571) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9416), (9570), (9571),
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #736.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9572) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9572) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9573) all_58_6 = e1 & op(e1, e3) = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9573) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9574) all_58_6 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9563), (9574) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9575) e3 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9566), (9575) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9576) all_58_12 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (243), (245), (9416),
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9574), (9576), (function-axioms) are inconsistent
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #312.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9577) all_58_12 = e1 & op(e0, e3) = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9577) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9578) all_58_12 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (243), (245), (9416),
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9563), (9566), (9578), (function-axioms) are
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #311.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9579) all_58_13 = e3 & op(e0, e2) = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9579) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9580) op(e0, e2) = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9367), (9580), (function-axioms) are
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9581) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9581) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9582) all_58_14 = e3 & op(e0, e1) = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9582) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9583) all_58_14 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9584) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9584) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9585) all_58_12 = e2 & op(e0, e3) = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9585) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9586) all_58_12 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9421) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9587) ~ (all_34_1 = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9470), (9476), (9496), (9545), (9587) are
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #948.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9588) ~ (all_34_0 = e1) & op(e2, e3) = all_34_0 &
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_0)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9588) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9589) ~ (all_34_0 = e1)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9590) op(e2, e3) = all_34_0
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9591) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9591) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9592) all_58_0 = e1 & op(e3, e3) = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9592) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9593) op(e3, e3) = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9416), (9593), (function-axioms) are
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9594) all_58_2 = e1 & op(e2, e3) = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9594) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9595) op(e2, e3) = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_34_0,
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (9590), (9595) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9596) all_34_0 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9589), (9596) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9597) $false
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9597) is inconsistent.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9598) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9598) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9599) all_58_6 = e1 & op(e1, e3) = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9599) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9600) all_58_6 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9563), (9600) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9601) e3 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9583), (9601) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9602) all_58_14 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (216), (219),
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (8799), (9586), (9602), (function-axioms)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #293.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9603) all_58_12 = e1 & op(e0, e3) = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9586), (9603) are inconsistent by sub-proof
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1734.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9604) all_58_13 = e2 & op(e0, e2) = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9604) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9605) all_58_13 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8762), (8797), (9424), (9518), (9538),
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9540), (9605), (function-axioms) are inconsistent
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #235.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9606) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9500), (9583), (9606),
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #822.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9607) all_58_15 = e3 & op(e0, e0) = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9607) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9608) op(e0, e0) = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9500), (9608), (function-axioms) are
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9609) all_58_12 = e3 & op(e0, e3) = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9609) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9610) all_58_12 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9545) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9611) all_54_12 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9470), (9611) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9612) all_34_1 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9612) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9613) all_34_1 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9471), (9613) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9614) ~ (all_52_1 = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9517), (9613) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9615) ~ (e3 = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9616) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9616) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9617) all_58_12 = e2 & op(e0, e3) = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9610), (9617) are inconsistent by sub-proof
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9618) all_58_13 = e2 & op(e0, e2) = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9618) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9619) all_58_13 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8762), (8797), (9424), (9518), (9538),
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9540), (9619), (function-axioms) are inconsistent
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #235.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9620) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9620) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9621) all_58_14 = e2 & op(e0, e1) = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9621) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9622) all_58_14 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9542) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9623) ~ (all_56_13 = e3)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9364), (9623) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9624) $false
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9624) is inconsistent.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9625) all_56_3 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9541) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9626) all_56_3 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9625), (9626) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9627) e2 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9627) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9628) e2 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9622), (9628) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9629) all_58_14 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (218), (9463), (9500), (9610),
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9629), (function-axioms) are inconsistent by
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1369.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9630) ~ (all_56_3 = e1)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9514) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9631) all_54_4 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (9614), (9631) are inconsistent by
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1749.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9632) all_54_4 = e1 | all_54_4 = e0
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9632) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9633) all_54_4 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (9633) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9634) all_52_1 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9634) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9635) all_52_1 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (9635) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9636) op(e2, e3) = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9539), (9630), (9636), (function-axioms) are
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #234.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9637) all_54_4 = e0
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (9472), (9637) are inconsistent by
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1747.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9638) all_58_15 = e2 & op(e0, e0) = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9638) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9639) op(e0, e0) = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9500), (9639), (function-axioms) are
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9640) all_54_12 = e1 | all_54_12 = e0
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9470), (9476), (9496), (9640) are inconsistent by
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1704.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9641) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9641) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9642) all_54_14 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (9642) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9643) all_4_1 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (9643) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9644) ~ (all_52_8 = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8794), (9643) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9645) ~ (all_52_9 = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9512) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9646) all_54_6 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9646) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9647) all_52_9 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9645), (9647) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9648) $false
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9648) is inconsistent.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9649) all_54_6 = e1 | all_54_6 = e0
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9649) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9650) all_54_6 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9650) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9651) all_52_9 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9651) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9652) all_52_9 = e1
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (9652) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9653) ~ (all_52_8 = e1)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9654) all_54_2 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (9654) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9655) all_52_8 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9655) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9656) all_52_8 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9656) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9657) ~ (all_52_12 = e3)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9657) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9658) ~ (all_52_12 = e3)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9659) all_54_3 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (9658), (9659) are inconsistent by
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1878.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9660) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9660) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9661) all_54_3 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (9661) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9662) all_52_12 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9662) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9663) all_52_12 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9508), (9663) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9664) ~ (all_40_1 = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9664) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9665) ~ (all_40_1 = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (193), (201), (280), (9478), (9494),
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9505), (9507), (9508), (9509), (9510), (9665),
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #233.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9666) all_54_3 = e1 | all_54_3 = e0
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (9478), (9494), (9666) are inconsistent by
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1712.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9667) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8768), (9644), (9653), (9667) are
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #943.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9668) all_54_6 = e0
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8769), (9668) are inconsistent by
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1745.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9669) all_54_14 = e1 | all_54_14 = e0
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (8797), (9498), (9669) are inconsistent by
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #232.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9670) all_54_15 = e0
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (358), (9670) are inconsistent by sub-proof
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1323.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | (9671) all_30_2 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (9671) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | (9672) all_10_2 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9672) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | (9673) all_10_2 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (9673) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | (9674) ~ (all_52_12 = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (9673) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | (9675) ~ (all_52_14 = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9474), (9673) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | (9676) ~ (all_34_1 = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8796), (9673) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | (9677) ~ (all_4_1 = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9677) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | (9678) ~ (all_4_1 = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (9673) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | (9679) op(e0, e0) = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | (9680) all_54_14 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (9680) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | (9681) all_4_1 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9475), (9681) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | (9682) ~ (all_34_1 = e3)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (9683) all_54_12 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9470), (9683) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (9684) all_34_1 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9682), (9684) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (9685) $false
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9685) is inconsistent.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (9686) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8763) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9687) ~ (all_4_1 = e3)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9681), (9687) imply:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9688) $false
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9688) is inconsistent.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9689) ~ (all_4_0 = e2) & op(e3, e1) = all_4_0 &
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_4_0)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9689) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9690) ~ (all_4_0 = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9691) op(e3, e1) = all_4_0
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9692) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9692) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9693) all_58_0 = e3 & op(e3, e3) = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9693) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9694) op(e3, e3) = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9416), (9694), (function-axioms) are
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9695) all_58_1 = e3 & op(e3, e2) = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9695) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9696) all_58_1 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9697) op(e3, e2) = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (235), (236),
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (9360), (9361), (9370), (9374), (9463),
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9696), (9697), (function-axioms) are inconsistent
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #230.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9698) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9698) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9699) all_58_4 = e3 & op(e3, e1) = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9699) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9700) all_58_4 = e3
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9701) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9702) all_58_0 = e2 & op(e3, e3) = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9702) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9703) op(e3, e3) = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9416), (9703), (function-axioms) are
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9704) all_58_1 = e2 & op(e3, e2) = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9704) implies:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9705) all_58_1 = e2
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9706) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9707) all_58_12 = e1 & op(e0, e3) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9707) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9708) all_58_12 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9709) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9709) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9710) all_58_4 = e2 & op(e3, e1) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9690), (9691), (9710), (function-axioms) are
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #229.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9711) all_58_5 = e2 & op(e2, e1) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9711) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9712) all_58_5 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9713) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9713) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9714) all_58_2 = e1 & op(e2, e3) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9714) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9715) op(e2, e3) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9716) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9416), (9715), (9716),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #228.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9717) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9717) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9718) all_58_6 = e2 & op(e1, e3) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9718) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9719) op(e1, e3) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9452), (9469), (9470), (9476), (9676), (9686),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9719), (function-axioms) are inconsistent by
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1680.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9720) all_58_12 = e2 & op(e0, e3) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9720) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9721) all_58_12 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9708), (9721) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9722) e2 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9722) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9723) e2 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9712), (9723) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9724) all_58_5 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (216),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (229), (358), (8780), (8799),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9367), (9679), (9690), (9691), (9724),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #224.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9725) all_58_3 = e1 & op(e2, e2) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9725) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9726) op(e2, e2) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9370), (9726), (function-axioms) are
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9727) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (216),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (229), (358), (8780), (8799),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9367), (9446), (9679), (9690), (9691), (9727),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #223.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9728) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9728) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9729) all_58_8 = e2 & op(e1, e1) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9729) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9730) all_58_8 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (9730) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9731) e2 = e0
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9731) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9732) e2 = e0
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9705), (9732) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9733) all_58_1 = e0
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (9416),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9700), (9733), (function-axioms) are inconsistent
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #238.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9734) all_58_14 = e2 & op(e0, e1) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9734) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9735) all_58_14 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (216),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (358), (8799), (9367), (9679),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9735), (function-axioms) are inconsistent by
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #226.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9736) all_58_13 = e1 & op(e0, e2) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9463), (9736) are inconsistent by sub-proof
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1273.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9737) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9737) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9738) all_58_14 = e1 & op(e0, e1) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9738) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9739) all_58_14 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9740) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9741) all_58_2 = e1 & op(e2, e3) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9741) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9742) op(e2, e3) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9743) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9416), (9742), (9743),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #228.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9744) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (219), (8799),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9424), (9452), (9469), (9470), (9476), (9676),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9686), (9739), (9744), (function-axioms) are
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #222.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9745) all_58_3 = e1 & op(e2, e2) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9745) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9746) op(e2, e2) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9370), (9746), (function-axioms) are
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9747) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (216),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (229), (358), (8780), (8799),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9367), (9446), (9679), (9690), (9691), (9747),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #223.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9748) all_58_15 = e1 & op(e0, e0) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9748) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9749) op(e0, e0) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9679), (9749), (function-axioms) are
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9750) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9750) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9751) all_58_4 = e2 & op(e3, e1) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9690), (9691), (9751), (function-axioms) are
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #229.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9752) all_58_9 = e2 & op(e3, e0) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9752) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9753) all_58_9 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (220), (222),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799), (9425), (9446), (9679), (9753),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #221.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9754) all_58_9 = e3 & op(e3, e0) = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9754) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9755) all_58_9 = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9756) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9446), (9755), (9756) are inconsistent
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1355.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9757) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9757) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9758) all_58_11 = e1 & op(e1, e0) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9758) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9759) all_58_11 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9760) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9760) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9761) all_58_12 = e1 & op(e0, e3) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9761) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9762) all_58_12 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9763) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9763) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9764) all_58_0 = e2 & op(e3, e3) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9764) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9765) op(e3, e3) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9416), (9765), (function-axioms) are
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9766) all_58_2 = e2 & op(e2, e3) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9766) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9767) op(e2, e3) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (162),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (219), (220), (221), (224), (225),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (229), (232), (233), (234), (235), (237),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (246), (358), (8767), (8780),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799), (9367), (9370), (9416), (9446), (9679),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9690), (9691), (9755), (9759), (9767),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #217.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9768) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9768) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9769) all_58_6 = e2 & op(e1, e3) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9769) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9770) op(e1, e3) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9452), (9469), (9470), (9476), (9676), (9686),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9770), (function-axioms) are inconsistent by
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1680.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9771) all_58_12 = e2 & op(e0, e3) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9771) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9772) all_58_12 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9762), (9772) are inconsistent by sub-proof
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1856.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9773) all_58_13 = e1 & op(e0, e2) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9773) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9774) all_58_13 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9463), (9774) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775) e1 = e0
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (220), (221),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (232), (233), (234), (235),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (242), (244), (246), (8767), (8780),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370), (9416), (9446), (9755), (9759), (9775),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #218.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9776) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9776) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9777) all_58_14 = e1 & op(e0, e1) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9777) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9778) all_58_14 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9779) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9779) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9780) all_58_0 = e2 & op(e3, e3) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9780) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9781) op(e3, e3) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9416), (9781), (function-axioms) are
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9782) all_58_2 = e2 & op(e2, e3) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9782) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9783) op(e2, e3) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (162),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (219), (220), (221), (224), (225),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (229), (232), (233), (234), (235), (237),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (246), (358), (8767), (8780),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799), (9367), (9370), (9416), (9446), (9679),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9690), (9691), (9755), (9759), (9783),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #217.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9784) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (219), (8799),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9424), (9452), (9469), (9470), (9476), (9676),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9686), (9778), (9784), (function-axioms) are
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #222.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9785) all_58_15 = e1 & op(e0, e0) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9785) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9786) op(e0, e0) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (221), (9446), (9755), (9759),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9786), (function-axioms) are inconsistent by
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1299.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9787) all_58_15 = e1 & op(e0, e0) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9787) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9788) op(e0, e0) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9679), (9788), (function-axioms) are
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9789) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9789) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (9790) all_54_14 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (9790) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (9791) all_4_1 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9678), (9791) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (9792) $false
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9792) is inconsistent.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (9793) ~ (all_54_14 = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (9794) all_54_14 = e1 | all_54_14 = e0
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9794) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9795) all_54_14 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (9795) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9796) all_4_1 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (9796) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9797) ~ (all_52_8 = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8794), (9796) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9798) ~ (all_52_9 = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9475), (9796) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9799) ~ (all_34_1 = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9678), (9796) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9800) ~ (e2 = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9801) all_54_6 = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9368), (9801) are inconsistent by
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1881.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9802) ~ (all_54_6 = e3)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9803) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9804) all_54_12 = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9470), (9804) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9805) all_34_1 = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9469), (9805) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9806) all_44_1 = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9473), (9805) imply:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9807) ~ (all_52_2 = e3)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9808) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9808) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9809) all_58_2 = e1 & op(e2, e3) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9809) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9810) all_58_2 = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9811) op(e2, e3) = e1
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9812) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9812) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9813) all_58_4 = e3 & op(e3, e1) = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9813) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9814) all_58_4 = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9815) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9815) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9816) all_58_6 = e3 & op(e1, e3) = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9816) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9817) op(e1, e3) = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9807), (9817), (function-axioms) are
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #609.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9818) all_58_7 = e3 & op(e1, e2) = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9818) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9819) all_58_7 = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9820) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9370), (9811), (9820),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #216.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9821) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9821) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9822) all_58_5 = e2 & op(e2, e1) = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9822) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9823) all_58_5 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9824) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9416), (9810), (9824),
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #215.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9825) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9825) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9826) all_58_6 = e3 & op(e1, e3) = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9826) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9827) op(e1, e3) = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9807), (9827), (function-axioms) are
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #609.
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9828) all_58_12 = e3 & op(e0, e3) = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9828) implies:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9829) all_58_12 = e3
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9830) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9830) gives:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9831) all_58_6 = e2 & op(e1, e3) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9831) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9832) op(e1, e3) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9833) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9833) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9834) all_58_1 = e1 & op(e3, e2) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9834) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9835) all_58_1 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9836) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9836) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9837) all_58_12 = e1 & op(e0, e3) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9837) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9838) all_58_12 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9829), (9838) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9839) e3 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9839) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9840) e3 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9806), (9840) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9841) all_44_1 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9452), (9832), (9841), (function-axioms) are
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1681.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9842) all_58_13 = e1 & op(e0, e2) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (232),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (237), (356), (8767), (9446),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9819), (9842), (function-axioms) are inconsistent
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #212.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9843) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9843) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9844) all_58_14 = e1 & op(e0, e1) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9844) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9845) all_58_14 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9846) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9846) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9847) all_58_1 = e2 & op(e3, e2) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9835), (9847) are inconsistent by sub-proof
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1629.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9848) all_58_3 = e2 & op(e2, e2) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9370), (9848), (function-axioms) are
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9849) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9849) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9850) all_58_7 = e2 & op(e1, e2) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9850) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9851) all_58_7 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9819), (9851) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9852) e3 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9829), (9852) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9853) all_58_12 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (219), (8799),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9424), (9845), (9853), (function-axioms) are
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #294.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9854) all_58_13 = e2 & op(e0, e2) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9854) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9855) all_58_13 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9856) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9856) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9857) all_58_1 = e0 & op(e3, e2) = e0
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9835), (9857) are inconsistent by sub-proof
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1575.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9858) all_58_3 = e0 & op(e2, e2) = e0
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9858) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9859) op(e2, e2) = e0
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9370), (9859), (function-axioms) are
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (162), (8767), (9459), (9855),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #211.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9860) all_58_15 = e1 & op(e0, e0) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9860) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9861) op(e0, e0) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9679), (9861), (function-axioms) are
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9862) all_58_3 = e1 & op(e2, e2) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (234), (239),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (243), (9368), (9446), (9829), (9862),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #210.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9863) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9863) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9864) all_58_7 = e1 & op(e1, e2) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9864) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9865) all_58_7 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9819), (9865) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9866) e3 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9866) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9867) e3 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9806), (9867) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9868) all_44_1 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9452), (9832), (9868), (function-axioms) are
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1681.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9869) all_58_13 = e1 & op(e0, e2) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (232),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (237), (356), (8767), (9446),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9819), (9869), (function-axioms) are inconsistent
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #212.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9870) all_58_7 = e2 & op(e1, e2) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9870) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9871) all_58_7 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9819), (9871) are inconsistent by sub-proof
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1627.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9872) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9872) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9873) all_58_8 = e2 & op(e1, e1) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9873) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9874) all_58_8 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (227), (228), (9814),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9823), (9874) are inconsistent by sub-proof #970.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9875) all_58_11 = e2 & op(e1, e0) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9875) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9876) op(e1, e0) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (9675), (9876), (function-axioms) are
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #954.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9877) all_58_10 = e2 & op(e2, e0) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9877) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9878) all_58_10 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9446), (9878) are inconsistent by sub-proof
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1886.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9879) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9879) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9880) all_58_8 = e3 & op(e1, e1) = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9880) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9881) all_58_8 = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (9881) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9882) e3 = e0
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9882) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9883) e3 = e0
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9814), (9883) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9884) all_58_4 = e0
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9379), (9883) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9885) all_58_3 = e0
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (228), (229),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (9368), (9446), (9881),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9884), (9885), (function-axioms) are inconsistent
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1482.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9886) all_58_11 = e3 & op(e1, e0) = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9886) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9887) all_58_11 = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9803) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9888) all_54_6 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9888) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9889) all_52_9 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9889) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9890) all_52_9 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (9890) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9891) ~ (all_52_8 = e2)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9892) all_54_2 = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (9892) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9893) all_52_8 = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9893) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9894) all_52_8 = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9894) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9895) ~ (all_52_12 = e3)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9895) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9896) ~ (all_52_12 = e3)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9897) all_54_3 = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (9896), (9897) are inconsistent by
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1878.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9898) ~ (all_54_3 = e3)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9899) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9900) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9370), (9811), (9900),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #216.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9901) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9901) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9902) all_58_5 = e2 & op(e2, e1) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9902) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9903) all_58_5 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9904) op(e2, e1) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9905) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9416), (9810), (9905),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #215.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9906) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9906) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9907) all_58_6 = e3 & op(e1, e3) = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9907) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9908) op(e1, e3) = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9807), (9908), (function-axioms) are
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #609.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9909) all_58_12 = e3 & op(e0, e3) = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9909) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9910) all_58_12 = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9911) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (9797), (9798), (9911),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #301.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9912) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9912) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9913) all_58_8 = e1 & op(e1, e1) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8780), (9913) are inconsistent by sub-proof
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #263.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9914) all_58_14 = e1 & op(e0, e1) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9914) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9915) all_58_14 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9916) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9916) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9917) all_58_9 = e1 & op(e3, e0) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9917) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9918) all_58_9 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9919) op(e3, e0) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9920) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9920) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9921) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9921) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9922) op(e1, e2) = all_56_7
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9923) all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 & $i(all_56_6))
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9924) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9416), (9811), (9924),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #228.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9925) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9925) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9926) all_58_6 = e2 & op(e1, e3) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9926) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9927) op(e1, e3) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9928) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9928) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9929) all_58_0 = e2 & op(e3, e3) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9929) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9930) op(e3, e3) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9416), (9930), (function-axioms) are
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9931) all_58_1 = e2 & op(e3, e2) = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9931) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9932) all_58_1 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9933) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9933) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9934) all_58_1 = e1 & op(e3, e2) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9932), (9934) are inconsistent by sub-proof
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1260.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9935) all_58_3 = e1 & op(e2, e2) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (234), (239),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (243), (9368), (9446), (9910), (9935),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #210.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9936) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9936) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9937) all_58_7 = e1 & op(e1, e2) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9937) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9938) op(e1, e2) = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9899) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9939) all_54_3 = e2
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (9674), (9939) are inconsistent by
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1699.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9940) all_54_3 = e1 | all_54_3 = e0
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9923) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9941) all_56_7 = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9922), (9941) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9942) op(e1, e2) = e3
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9940) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9943) all_54_3 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (9943) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9944) all_52_12 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9944) implies:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9945) all_52_12 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9896), (9945) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9946) ~ (e3 = e1)
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e2,
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (9938), (9942) gives:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9947) e3 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9814), (9947) imply:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9948) all_58_4 = e1
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (230), (8780), (9903), (9915),
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9948) are inconsistent by sub-proof #209.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9949) all_54_3 = e0
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (9478), (9949) are inconsistent by
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1713.
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9950) ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9950) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9951) ~ (all_56_6 = e2)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9952) op(e1, e3) = all_56_6
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9927), (9951), (9952), (function-axioms) are
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1740.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9953) all_58_13 = e1 & op(e0, e2) = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9953) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9954) all_58_13 = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9463), (9954) imply:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9955) e1 = e0
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9918), (9955) imply:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9956) all_58_9 = e0
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (242), (244), (246),
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9416), (9932), (9956), (function-axioms) are
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9957) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9957) gives:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9958) all_58_4 = e2 & op(e3, e1) = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9958) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9959) all_58_4 = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9814), (9959) imply:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9960) e3 = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9910), (9960) imply:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9961) all_58_12 = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (219), (8799),
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9424), (9915), (9961), (function-axioms) are
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #294.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9962) all_58_9 = e2 & op(e3, e0) = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9962) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9963) all_58_9 = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (220), (222),
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799), (9425), (9446), (9679), (9963),
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #221.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9964) all_58_12 = e2 & op(e0, e3) = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9964) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9965) all_58_12 = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (219), (8799),
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9424), (9915), (9965), (function-axioms) are
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #294.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9966) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9811), (9904), (9966), (function-axioms) are
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #207.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9967) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9967) gives:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9968) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9968) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9969) op(e3, e0) = all_56_2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9970) all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1) =
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_1 & $i(all_56_1))
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9971) ~ (all_56_12 = e0) | all_56_2 = e3
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9971) gives:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9972) ~ (all_56_12 = e0)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9412), (9972) imply:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9973) $false
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9973) is inconsistent.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9974) all_56_2 = e3
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9970) gives:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9975) all_56_2 = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9974), (9975) imply:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9976) e3 = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9814), (9976) imply:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9977) all_58_4 = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (230), (8780), (9903), (9915),
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9977) are inconsistent by sub-proof #209.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9978) ~ (all_56_2 = e1)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9919), (9969), (9978), (function-axioms) are
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #206.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9979) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9979) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9980) op(e2, e3) = all_56_3
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9981) ~ (all_56_13 = e3) | all_56_3 = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9364), (9811), (9980), (9981),
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #236.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9982) all_58_10 = e1 & op(e2, e0) = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9446), (9982) are inconsistent by sub-proof
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1416.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9983) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9983) gives:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9984) all_58_11 = e1 & op(e1, e0) = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (230), (8780), (9814), (9887),
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9903), (9915), (9984) are inconsistent by
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #205.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9985) all_58_15 = e1 & op(e0, e0) = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9985) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9986) op(e0, e0) = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (164),
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (222), (358), (9367),
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9369), (9887), (9915), (9986), (function-axioms)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #651.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9987) all_58_10 = e2 & op(e2, e0) = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9987) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9988) all_58_10 = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9446), (9988) are inconsistent by sub-proof
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1886.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9989) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8768), (9797), (9891), (9989) are
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #943.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9990) all_54_6 = e1 | all_54_6 = e0
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8769), (9798), (9990) are inconsistent by
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1744.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9991) all_58_5 = e3 & op(e2, e1) = e3
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9991) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9992) op(e2, e1) = e3
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9368), (9992), (function-axioms) are
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9993) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9993) gives:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9994) all_58_8 = e3 & op(e1, e1) = e3
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9994) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9995) all_58_8 = e3
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (9995) are inconsistent by sub-proof
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1630.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9996) all_58_14 = e3 & op(e0, e1) = e3
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9996) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9997) all_58_14 = e3
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9998) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9370), (9811), (9998),
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #216.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9999) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9999) gives:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10000) all_58_5 = e2 & op(e2, e1) = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10000) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10001) all_58_5 = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10002) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10002) gives:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10003) all_58_4 = e1 & op(e3, e1) = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9797), (10003), (function-axioms) are
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #302.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10004) all_58_5 = e1 & op(e2, e1) = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10001), (10004) are inconsistent by
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1890.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10005) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10005) gives:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10006) all_58_8 = e1 & op(e1, e1) = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8780), (10006) are inconsistent by sub-proof
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #263.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10007) all_58_14 = e1 & op(e0, e1) = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9997), (10007) are inconsistent by sub-proof
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #751.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10008) all_58_10 = e2 & op(e2, e0) = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10008) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10009) all_58_10 = e2
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9446), (10009) are inconsistent by sub-proof
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1886.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10010) all_58_3 = e1 & op(e2, e2) = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10010) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10011) op(e2, e2) = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9370), (10011), (function-axioms) are
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10012) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10012) gives:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10013) all_58_5 = e1 & op(e2, e1) = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10013) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10014) op(e2, e1) = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9798), (10014), (function-axioms) are
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10015) all_58_10 = e1 & op(e2, e0) = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10015) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10016) all_58_10 = e1
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9446), (10016) are inconsistent by sub-proof
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1550.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10017) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9470), (9476), (9676), (9799), (10017) are
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #948.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10018) all_54_14 = e0
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (10018) imply:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10019) all_4_1 = e0
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8797), (10019) imply:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10020) $false
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10020) is inconsistent.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | (10021) all_58_11 = e0 & op(e1, e0) = e0
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | ALPHA: (10021) implies:
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | (10022) all_58_11 = e0
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | (8780), (10022) are inconsistent by sub-proof
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | | #245.
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | End of split
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | (10023) all_28_2 = e1
% 201.42/33.58 | | | | | | | | | | | | | (10024) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 201.42/33.58 | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 201.42/33.58 | | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0)))
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | ALPHA: (10024) implies:
% 201.42/33.58 | | | | | | | | | | | | | (10025) op(e1, e3) = all_28_1
% 201.42/33.58 | | | | | | | | | | | | | (10026) ~ (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 201.42/33.58 | | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0))
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | COMBINE_EQS: (334), (10023) imply:
% 201.42/33.58 | | | | | | | | | | | | | (10027) all_14_2 = e1
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | SIMP: (10027) implies:
% 201.42/33.58 | | | | | | | | | | | | | (10028) all_14_2 = e1
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | COMBINE_EQS: (323), (10028) imply:
% 201.42/33.58 | | | | | | | | | | | | | (10029) all_36_2 = e1
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | REDUCE: (360), (10028) imply:
% 201.42/33.58 | | | | | | | | | | | | | (10030) ~ (all_52_1 = e1)
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | REDUCE: (362), (10028) imply:
% 201.42/33.58 | | | | | | | | | | | | | (10031) ~ (all_52_2 = e1)
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | REDUCE: (364), (10028) imply:
% 201.42/33.58 | | | | | | | | | | | | | (10032) ~ (all_52_3 = e1)
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | REDUCE: (368), (10028) imply:
% 201.42/33.58 | | | | | | | | | | | | | (10033) ~ (all_52_8 = e1)
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | REDUCE: (370), (10028) imply:
% 201.42/33.58 | | | | | | | | | | | | | (10034) ~ (all_52_12 = e1)
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | REDUCE: (9391), (10028) imply:
% 201.42/33.58 | | | | | | | | | | | | | (10035) ~ (all_16_1 = e1)
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | REDUCE: (355), (10028) imply:
% 201.42/33.58 | | | | | | | | | | | | | (10036) ~ (e3 = e1)
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | REDUCE: (51), (10028) imply:
% 201.42/33.58 | | | | | | | | | | | | | (10037) op(e3, e3) = e1
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | BETA: splitting (85) gives:
% 201.42/33.58 | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | Case 1:
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | (10038) ~ (all_36_2 = e1)
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | REDUCE: (10029), (10038) imply:
% 201.42/33.58 | | | | | | | | | | | | | | (10039) $false
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | CLOSE: (10039) is inconsistent.
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | Case 2:
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | (10040) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 201.42/33.58 | | | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 201.42/33.58 | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | ALPHA: (10040) implies:
% 201.42/33.58 | | | | | | | | | | | | | | (10041) op(e1, e3) = all_36_1
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 201.42/33.58 | | | | | | | | | | | | | | all_28_1, e3, e1, simplifying with (163), (10025)
% 201.42/33.58 | | | | | | | | | | | | | | gives:
% 201.42/33.58 | | | | | | | | | | | | | | (10042) all_52_2 = all_28_1
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 201.42/33.58 | | | | | | | | | | | | | | all_36_1, e3, e1, simplifying with (163), (10041)
% 201.42/33.58 | | | | | | | | | | | | | | gives:
% 201.42/33.58 | | | | | | | | | | | | | | (10043) all_52_2 = all_36_1
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | COMBINE_EQS: (10042), (10043) imply:
% 201.42/33.58 | | | | | | | | | | | | | | (10044) all_36_1 = all_28_1
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | SIMP: (10044) implies:
% 201.42/33.58 | | | | | | | | | | | | | | (10045) all_36_1 = all_28_1
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | COMBINE_EQS: (268), (10042) imply:
% 201.42/33.58 | | | | | | | | | | | | | | (10046) all_54_8 = all_28_1
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | REDUCE: (144), (10042) imply:
% 201.42/33.58 | | | | | | | | | | | | | | (10047) ~ (all_52_3 = all_28_1)
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | SIMP: (10047) implies:
% 201.42/33.58 | | | | | | | | | | | | | | (10048) ~ (all_52_3 = all_28_1)
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | REDUCE: (10031), (10042) imply:
% 201.42/33.58 | | | | | | | | | | | | | | (10049) ~ (all_28_1 = e1)
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | REDUCE: (8766), (10042) imply:
% 201.42/33.58 | | | | | | | | | | | | | | (10050) ~ (all_28_1 = e0)
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 201.42/33.58 | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | Case 1:
% 201.42/33.58 | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | (10051) ~ (all_30_2 = e2)
% 201.42/33.58 | | | | | | | | | | | | | | |
% 201.42/33.58 | | | | | | | | | | | | | | | REDUCE: (328), (10051) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | (10052) ~ (all_10_2 = e2)
% 201.42/33.59 | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 201.42/33.59 | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | (10053) all_54_15 = e3
% 201.42/33.59 | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | REF_CLOSE: (298), (8799), (10053) are inconsistent by
% 201.42/33.59 | | | | | | | | | | | | | | | | sub-proof #1381.
% 201.42/33.59 | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | Case 2:
% 201.42/33.59 | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | (10054) ~ (all_54_15 = e3)
% 201.42/33.59 | | | | | | | | | | | | | | | | (10055) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 201.42/33.59 | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | BETA: splitting (10055) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | (10056) all_54_15 = e2
% 201.42/33.59 | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (10052), (10056) are inconsistent by
% 201.42/33.59 | | | | | | | | | | | | | | | | | sub-proof #1380.
% 201.42/33.59 | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.59 | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | (10057) ~ (all_54_15 = e2)
% 201.42/33.59 | | | | | | | | | | | | | | | | | (10058) all_54_15 = e1 | all_54_15 = e0
% 201.42/33.59 | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | BETA: splitting (10058) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | (10059) all_54_15 = e1
% 201.42/33.59 | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (10059) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | (10060) all_10_2 = e1
% 201.42/33.59 | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | SIMP: (10060) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | (10061) all_10_2 = e1
% 201.42/33.59 | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (10061) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | (10062) all_56_15 = e1
% 201.42/33.59 | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | REDUCE: (384), (10061) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | (10063) ~ (all_52_7 = e1)
% 201.42/33.59 | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | REDUCE: (393), (10061) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | (10064) ~ (all_52_13 = e1)
% 201.42/33.59 | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | REDUCE: (394), (10061) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | (10065) ~ (all_52_14 = e1)
% 201.42/33.59 | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | REDUCE: (8796), (10061) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | (10066) ~ (all_4_1 = e1)
% 201.42/33.59 | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | SIMP: (10066) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | (10067) ~ (all_4_1 = e1)
% 201.42/33.59 | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | REDUCE: (10052), (10061) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | (10068) ~ (e2 = e1)
% 201.42/33.59 | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | REDUCE: (45), (10061) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | (10069) op(e0, e0) = e1
% 201.42/33.59 | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | (10070) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (244), (246),
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | (9370), (10037), (10070), (function-axioms) are
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #204.
% 201.42/33.59 | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | (10071) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (10071) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | (10072) all_58_7 = e1 & op(e1, e2) = e1
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | ALPHA: (10072) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | (10073) all_58_7 = e1
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | (10074) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (9370), (10030), (10074),
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | #203.
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | (10075) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10075) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | (10076) all_58_5 = e1 & op(e2, e1) = e1
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10076) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | (10077) all_58_5 = e1
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | (10078) op(e2, e1) = e1
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | (10079) all_54_2 = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (10079) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | (10080) all_52_8 = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10080) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | (10081) all_52_8 = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (10081) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | (10082) ~ (all_4_1 = e3)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10082) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | (10083) ~ (all_4_1 = e3)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | (10084) all_54_14 = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (10083), (10084) are inconsistent by
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #202.
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | (10085) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (10086) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10086) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (10087) all_58_0 = e0 & op(e3, e3) = e0
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10087) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (10088) op(e3, e3) = e0
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10037), (10088), (function-axioms) are
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (10089) all_58_2 = e0 & op(e2, e3) = e0
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10089) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (10090) op(e2, e3) = e0
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10085) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10091) all_54_14 = e2
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (10091) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10092) all_4_1 = e2
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10092) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10093) all_4_1 = e2
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8791), (10093) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10094) ~ (all_52_3 = e2)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8792), (10093) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10095) ~ (all_52_7 = e2)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (191), (192), (196), (256), (257), (9367),
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10026), (10032), (10046), (10048), (10049),
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10050), (10063), (10090), (10094), (10095),
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | #200.
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10096) all_54_14 = e1 | all_54_14 = e0
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (8797), (10067), (10096) are inconsistent
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #232.
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (10097) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10097) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (10098) all_58_6 = e0 & op(e1, e3) = e0
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10098) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (10099) op(e1, e3) = e0
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8766), (10099), (function-axioms) are
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (10100) all_58_12 = e0 & op(e0, e3) = e0
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10100) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (10101) op(e0, e3) = e0
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (159), (191), (256), (8790), (8792),
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (8797), (9367), (10063), (10067), (10085),
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (10101), (function-axioms) are inconsistent by
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #197.
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | (10102) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10102) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | (10103) all_54_2 = e2
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (10103) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | (10104) all_52_8 = e2
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10104) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | (10105) all_52_8 = e2
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (10105) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | (10106) ~ (all_4_1 = e2)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10106) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | (10107) ~ (all_4_1 = e2)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (10105) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | (10108) op(e3, e1) = e2
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (10109) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10109) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (10110) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10110) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (10111) op(e3, e2) = all_56_0
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (10112) all_56_0 = e0 | ( ~ (all_56_2 = e2) & op(e3, e0) =
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 & $i(all_56_2))
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (10113) all_56_0 = e1 | ( ~ (all_56_1 = e2) & op(e3, e1) =
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_1 & $i(all_56_1))
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10114) all_54_14 = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (10114) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10115) all_4_1 = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10115) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10116) all_4_1 = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8791), (10116) imply:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10117) ~ (all_52_3 = e3)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10118) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (232), (233),
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370), (10037), (10077), (10118),
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #196.
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10119) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10119) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10120) all_58_6 = e3 & op(e1, e3) = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10120) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10121) all_58_6 = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10113) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10122) all_56_0 = e1
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10123) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10123) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10124) all_58_4 = e3 & op(e3, e1) = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10124) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10125) all_58_4 = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (159), (219),
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (8780), (9367), (10069),
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10117), (10125), (function-axioms) are
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #194.
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10126) all_58_5 = e3 & op(e2, e1) = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10126) implies:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10127) op(e2, e1) = e3
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9368), (10127), (function-axioms) are
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10128) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10128) gives:
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.42/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10129) all_58_8 = e3 & op(e1, e1) = e3
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10129) implies:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10130) all_58_8 = e3
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (223), (225), (10073),
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10121), (10130) are inconsistent by sub-proof
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1510.
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10131) all_58_14 = e3 & op(e0, e1) = e3
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10131) implies:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10132) all_58_14 = e3
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10133) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10133) gives:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10134) all_58_1 = e2 & op(e3, e2) = e2
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10134) implies:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10135) all_58_1 = e2
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (228), (229),
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (240), (246), (8768), (8780), (9360),
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9392), (10037), (10132), (10135),
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #193.
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10136) all_58_3 = e2 & op(e2, e2) = e2
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9370), (10136), (function-axioms) are
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10137) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10137) gives:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10138) all_58_7 = e2 & op(e1, e2) = e2
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10138) implies:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10139) all_58_7 = e2
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10073), (10139) are inconsistent by
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1851.
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10140) all_58_13 = e2 & op(e0, e2) = e2
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10140) implies:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10141) all_58_13 = e2
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10142) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (235), (9370), (10037),
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10073), (10141), (10142), (function-axioms) are
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #192.
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10143) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10143) gives:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10144) all_58_4 = e3 & op(e3, e1) = e3
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10144) implies:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10145) all_58_4 = e3
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (228), (229), (230),
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780), (10132), (10145) are inconsistent by
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #195.
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10146) all_58_9 = e3 & op(e3, e0) = e3
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10146) implies:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10147) all_58_9 = e3
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10148) all_58_15 = e0 & op(e0, e0) = e0
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (10148), (function-axioms) are
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10149) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10149) implies:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10150) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10112) gives:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10151) all_56_0 = e0
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10122), (10151) imply:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10152) e1 = e0
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10152) implies:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10153) e1 = e0
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (10153) imply:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10154) $false
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10154) is inconsistent.
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10155) ~ (all_56_0 = e0)
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10150) gives:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10156) all_58_9 = e0 & op(e3, e0) = e0
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10147), (10156) are inconsistent by
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1505.
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10157) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10157) gives:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10158) all_58_10 = e0 & op(e2, e0) = e0
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10158) implies:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10159) all_58_10 = e0
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10160) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10160) gives:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10161) all_58_1 = e0 & op(e3, e2) = e0
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10161) implies:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10162) op(e3, e2) = e0
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10111), (10155), (10162), (function-axioms) are
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10163) all_58_3 = e0 & op(e2, e2) = e0
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10163) implies:
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10164) all_58_3 = e0
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10165) op(e2, e2) = e0
% 201.81/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (233), (234),
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10159), (10164), (10165), (function-axioms) are
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #992.
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10166) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (162), (8767), (10141), (10166),
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #211.
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10167) all_58_11 = e0 & op(e1, e0) = e0
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10167) implies:
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10168) all_58_11 = e0
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780), (10121), (10168) are inconsistent by
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #248.
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10169) ~ (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1)
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10169) implies:
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10170) ~ (all_56_1 = e2)
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10171) op(e3, e1) = all_56_1
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10108), (10170), (10171), (function-axioms) are
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1060.
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10172) all_58_12 = e3 & op(e0, e3) = e3
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10172) implies:
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10173) op(e0, e3) = e3
% 201.82/33.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10117), (10173), (function-axioms) are
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10174) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8790), (8794), (8797), (10078), (10107),
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10174), (function-axioms) are inconsistent by
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #189.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10175) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10175) implies:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10176) op(e0, e1) = all_56_11
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10177) ~ (all_56_15 = e1) | all_56_11 = e0
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8762), (8797), (10062), (10176), (10177),
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | #267.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (10178) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10178) gives:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10179) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10179) implies:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10180) op(e1, e0) = all_56_8
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10181) ~ (all_56_14 = e0) | all_56_8 = e1
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8765), (10065), (10180), (10181),
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | #265.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10182) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10182) implies:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10183) op(e0, e3) = all_56_9
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10184) op(e2, e3) = all_56_3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10185) all_56_9 = e1 | ( ~ (all_56_11 = e3) & op(e0, e1)
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10186) all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10187) all_54_14 = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (10187) imply:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188) all_4_1 = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10188) implies:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189) all_4_1 = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8791), (10189) imply:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190) ~ (all_52_3 = e3)
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10191) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (232), (233),
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370), (10037), (10077), (10191),
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #196.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10192) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10192) gives:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10193) all_58_6 = e3 & op(e1, e3) = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10193) implies:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10194) all_58_6 = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10195) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10195) gives:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10196) all_58_4 = e3 & op(e3, e1) = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10196) implies:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197) all_58_4 = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (159), (219),
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (8780), (9367), (10069),
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10197), (function-axioms) are
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #194.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10198) all_58_5 = e3 & op(e2, e1) = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10198) implies:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10199) op(e2, e1) = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (10030), (10184), (10186), (10199),
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #291.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10200) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10200) gives:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10201) all_58_8 = e3 & op(e1, e1) = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10201) implies:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10202) all_58_8 = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (223), (225), (10073),
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10194), (10202) are inconsistent by sub-proof
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1510.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10203) all_58_14 = e3 & op(e0, e1) = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10203) implies:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10204) all_58_14 = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10205) op(e0, e1) = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10206) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10206) gives:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10207) all_58_1 = e2 & op(e3, e2) = e2
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10207) implies:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10208) all_58_1 = e2
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (228), (229),
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (240), (246), (8768), (8780), (9360),
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9392), (10037), (10204), (10208),
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #193.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10209) all_58_3 = e2 & op(e2, e2) = e2
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9370), (10209), (function-axioms) are
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10210) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10210) gives:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10211) all_58_7 = e2 & op(e1, e2) = e2
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10211) implies:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10212) all_58_7 = e2
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10073), (10212) are inconsistent by
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1851.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10213) all_58_13 = e2 & op(e0, e2) = e2
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10213) implies:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10214) all_58_13 = e2
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10215) all_58_15 = e0 & op(e0, e0) = e0
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (10215), (function-axioms) are
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10216) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10216) implies:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10217) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8762), (8797), (10183), (10185),
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10205), (10214), (10217), (function-axioms) are
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #235.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10218) all_58_12 = e3 & op(e0, e3) = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10218) implies:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10219) op(e0, e3) = e3
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10190), (10219), (function-axioms) are
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10220) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8790), (8794), (8797), (10078), (10107),
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10220), (function-axioms) are inconsistent by
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #189.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | (10221) all_54_2 = e1 | all_54_2 = e0
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8768), (10033), (10221) are inconsistent
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #188.
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.82/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | (10222) all_58_10 = e1 & op(e2, e0) = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10064), (10222), (function-axioms) are
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #430.
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | End of split
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | (10223) all_58_13 = e1 & op(e0, e2) = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | ALPHA: (10223) implies:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | (10224) all_58_13 = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | (10225) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10225) gives:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | (10226) all_58_6 = e1 & op(e1, e3) = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10226) implies:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | (10227) op(e1, e3) = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10025), (10049), (10227), (function-axioms) are
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1466.
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | (10228) all_58_7 = e1 & op(e1, e2) = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10228) implies:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | (10229) all_58_7 = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (235), (237), (9370),
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | (10224), (10229), (function-axioms) are
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #259.
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | (10230) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10230) gives:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | (10231) all_58_8 = e1 & op(e1, e1) = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8780), (10231) are inconsistent by sub-proof
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | #263.
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | (10232) all_58_11 = e1 & op(e1, e0) = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10232) implies:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | (10233) all_58_11 = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (216),
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | (221), (222), (358), (9369), (10069), (10233),
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | | #660.
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | | End of split
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | End of split
% 201.84/33.60 | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | End of split
% 201.84/33.60 | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | Case 2:
% 201.84/33.60 | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | (10234) all_54_15 = e0
% 201.84/33.60 | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (358), (10234) are inconsistent by
% 201.84/33.60 | | | | | | | | | | | | | | | | | | sub-proof #1323.
% 201.84/33.60 | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | End of split
% 201.84/33.60 | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | End of split
% 201.84/33.60 | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | End of split
% 201.84/33.60 | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | Case 2:
% 201.84/33.60 | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | (10235) all_30_2 = e2
% 201.84/33.60 | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | COMBINE_EQS: (328), (10235) imply:
% 201.84/33.60 | | | | | | | | | | | | | | | (10236) all_10_2 = e2
% 201.84/33.60 | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | SIMP: (10236) implies:
% 201.84/33.60 | | | | | | | | | | | | | | | (10237) all_10_2 = e2
% 201.84/33.60 | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | COMBINE_EQS: (254), (10237) imply:
% 201.84/33.60 | | | | | | | | | | | | | | | (10238) all_56_15 = e2
% 201.84/33.60 | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | REDUCE: (373), (10237) imply:
% 201.84/33.60 | | | | | | | | | | | | | | | (10239) ~ (all_52_3 = e2)
% 201.84/33.60 | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | REDUCE: (384), (10237) imply:
% 201.84/33.60 | | | | | | | | | | | | | | | (10240) ~ (all_52_7 = e2)
% 201.84/33.60 | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | REDUCE: (394), (10237) imply:
% 201.84/33.60 | | | | | | | | | | | | | | | (10241) ~ (all_52_14 = e2)
% 201.84/33.60 | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | REDUCE: (8796), (10237) imply:
% 201.84/33.60 | | | | | | | | | | | | | | | (10242) ~ (all_4_1 = e2)
% 201.84/33.60 | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | SIMP: (10242) implies:
% 201.84/33.60 | | | | | | | | | | | | | | | (10243) ~ (all_4_1 = e2)
% 201.84/33.60 | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | REDUCE: (45), (10237) imply:
% 201.84/33.60 | | | | | | | | | | | | | | | (10244) op(e0, e0) = e2
% 201.84/33.60 | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 201.84/33.60 | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | Case 1:
% 201.84/33.60 | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | (10245) all_54_6 = e3
% 201.84/33.60 | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9368), (10245) are inconsistent by
% 201.84/33.60 | | | | | | | | | | | | | | | | sub-proof #1881.
% 201.84/33.60 | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | Case 2:
% 201.84/33.60 | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | (10246) ~ (all_54_6 = e3)
% 201.84/33.60 | | | | | | | | | | | | | | | | (10247) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 201.84/33.60 | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 201.84/33.60 | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | Case 1:
% 201.84/33.60 | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | (10248) all_54_2 = e3
% 201.84/33.60 | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (10248) imply:
% 201.84/33.60 | | | | | | | | | | | | | | | | | (10249) all_52_8 = e3
% 201.84/33.60 | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | REDUCE: (8793), (10249) imply:
% 201.84/33.60 | | | | | | | | | | | | | | | | | (10250) ~ (all_4_1 = e3)
% 201.84/33.60 | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | SIMP: (10250) implies:
% 201.84/33.60 | | | | | | | | | | | | | | | | | (10251) ~ (all_4_1 = e3)
% 201.84/33.60 | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.84/33.60 | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | Case 1:
% 201.84/33.60 | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | (10252) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.84/33.60 | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | BETA: splitting (10252) gives:
% 201.84/33.60 | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | Case 1:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | (10253) all_58_4 = e1 & op(e3, e1) = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10033), (10253), (function-axioms) are
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #302.
% 201.84/33.60 | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | Case 2:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | (10254) all_58_5 = e1 & op(e2, e1) = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | |
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | ALPHA: (10254) implies:
% 201.84/33.60 | | | | | | | | | | | | | | | | | | | (10255) op(e2, e1) = e1
% 201.84/33.60 | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (190), (8790), (8794), (8797), (10243),
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | (10251), (10255), (function-axioms) are
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #187.
% 201.86/33.60 | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.60 | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.60 | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | (10256) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.86/33.60 | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.86/33.60 | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | BETA: splitting (10256) gives:
% 201.86/33.60 | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | (10257) all_58_8 = e1 & op(e1, e1) = e1
% 201.86/33.60 | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8780), (10257) are inconsistent by sub-proof
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | #263.
% 201.86/33.60 | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | (10258) all_58_14 = e1 & op(e0, e1) = e1
% 201.86/33.60 | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | ALPHA: (10258) implies:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | (10259) all_58_14 = e1
% 201.86/33.60 | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | (10260) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10260) gives:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | (10261) all_58_0 = e0 & op(e3, e3) = e0
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10261) implies:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | (10262) op(e3, e3) = e0
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10037), (10262), (function-axioms) are
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | (10263) all_58_2 = e0 & op(e2, e3) = e0
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10263) implies:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | (10264) op(e2, e3) = e0
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | (10265) all_54_14 = e3
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (10251), (10265) are inconsistent by
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | sub-proof #202.
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | (10266) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10266) gives:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | | (10267) all_54_14 = e2
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (10243), (10267) are inconsistent by
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #191.
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | | (10268) all_54_14 = e1 | all_54_14 = e0
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10268) gives:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | | | (10269) all_54_14 = e1
% 201.86/33.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (10269) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | (10270) all_4_1 = e1
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10270) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | (10271) all_4_1 = e1
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8792), (10271) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | (10272) ~ (all_52_7 = e1)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (191), (192), (196), (256), (257), (9367),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | (10026), (10032), (10046), (10048), (10049),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | (10050), (10239), (10240), (10264), (10272),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | #200.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | (10273) all_54_14 = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (8797), (10273) are inconsistent by
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #190.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | (10274) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (45), (158), (163), (219), (8766),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | (8799), (9367), (10259), (10274),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | #186.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | (10275) ~ (all_54_2 = e3)
% 201.86/33.61 | | | | | | | | | | | | | | | | | (10276) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | REDUCE: (281), (10275) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | (10277) ~ (all_52_8 = e3)
% 201.86/33.61 | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | BETA: splitting (10276) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | (10278) all_54_2 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (10278) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | (10279) all_52_8 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | REDUCE: (123), (10279) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | (10280) ~ (all_52_9 = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | SIMP: (10280) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | (10281) ~ (all_52_9 = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | REDUCE: (120), (10279) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | (10282) ~ (all_52_12 = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | SIMP: (10282) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | (10283) ~ (all_52_12 = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | REDUCE: (9388), (10279) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | (10284) ~ (all_16_1 = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | SIMP: (10284) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | (10285) ~ (all_16_1 = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | REDUCE: (10277), (10279) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | (10286) ~ (e3 = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | (10287) all_54_1 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9384), (10287) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | (10288) all_16_1 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | REDUCE: (9392), (10288) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | (10289) $false
% 201.86/33.61 | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | CLOSE: (10289) is inconsistent.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | (10290) ~ (all_54_1 = e3)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | (10291) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | BETA: splitting (10291) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | (10292) all_54_1 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9384), (10292) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | (10293) all_16_1 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | REDUCE: (10285), (10293) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | (10294) $false
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | CLOSE: (10294) is inconsistent.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | (10295) ~ (all_54_1 = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | (10296) all_54_1 = e1 | all_54_1 = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10296) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | (10297) all_54_1 = e1
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9384), (10297) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | (10298) all_16_1 = e1
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10035), (10298) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | (10299) $false
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | CLOSE: (10299) is inconsistent.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | (10300) all_54_1 = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9384), (10300) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | (10301) all_16_1 = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9390), (10301) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | (10302) ~ (all_52_12 = e0)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9392), (10301) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | (10303) ~ (e3 = e0)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10285), (10301) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | (10304) ~ (e2 = e0)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | (10305) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10305) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | (10306) all_58_1 = e2 & op(e3, e2) = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10306) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | (10307) all_58_1 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | (10308) all_54_3 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (10308) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | (10309) all_52_12 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (10309) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | (10310) ~ (all_52_14 = e3)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10310) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | (10311) ~ (all_52_14 = e3)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10247) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | (10312) all_54_6 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10281), (10312) are inconsistent by
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1711.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | (10313) ~ (all_54_6 = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | (10314) all_54_6 = e1 | all_54_6 = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (10315) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10315) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10316) all_58_4 = e2 & op(e3, e1) = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10316) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10317) all_58_4 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10318) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (9368), (10317), (10318),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #185.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10319) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10319) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10320) all_58_8 = e3 & op(e1, e1) = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10320) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10321) all_58_8 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (10321) are inconsistent by sub-proof
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1630.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10322) all_58_14 = e3 & op(e0, e1) = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10322) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10323) all_58_14 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10324) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9360), (9392), (10037), (10324),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #678.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10325) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10325) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10326) all_58_4 = e3 & op(e3, e1) = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (216),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (358), (8799), (9367), (10244),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10317), (10323), (10326), (function-axioms) are
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #184.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10327) all_58_9 = e3 & op(e3, e0) = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10327) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10328) all_58_9 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10329) op(e3, e0) = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10330) all_58_15 = e0 & op(e0, e0) = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (10330), (function-axioms) are
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10331) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10331) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10332) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10333) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10332) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10334) all_58_12 = e0 & op(e0, e3) = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10334) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10335) all_58_12 = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10336) op(e0, e3) = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10337) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10337) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10338) all_58_0 = e3 & op(e3, e3) = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10037), (10338), (function-axioms) are
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10339) all_58_2 = e3 & op(e2, e3) = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10339) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10340) all_58_2 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10341) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10341) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10342) all_58_0 = e2 & op(e3, e3) = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10342) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10343) op(e3, e3) = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (8768), (10317), (10328),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10343), (function-axioms) are inconsistent by
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10344) all_58_2 = e2 & op(e2, e3) = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10344) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10345) all_58_2 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10340), (10345) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10346) e3 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10346) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10347) e3 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10328), (10347) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10348) all_58_9 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (216),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (358), (8799), (9369), (10244),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10348), (function-axioms) are inconsistent by
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #625.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10349) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10349) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10350) all_58_6 = e2 & op(e1, e3) = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10350) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10351) all_58_6 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10352) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10352) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10353) all_58_6 = e3 & op(e1, e3) = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (216),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (358), (8799), (9369), (10244),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10328), (10351), (10353), (function-axioms) are
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #179.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10354) all_58_7 = e3 & op(e1, e2) = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10354) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10355) all_58_7 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10356) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9370), (10340), (10356), (function-axioms)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #748.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10357) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10357) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10358) all_58_5 = e0 & op(e2, e1) = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10358) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10359) op(e2, e1) = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (10359), (function-axioms) are
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10360) all_58_10 = e0 & op(e2, e0) = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10360) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10361) all_58_10 = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10362) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (244),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370), (10037), (10328), (10362),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #178.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10363) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10363) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10364) all_58_7 = e1 & op(e1, e2) = e1
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10364) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10365) all_58_7 = e1
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10355), (10365) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10366) e3 = e1
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10328), (10366) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10367) all_58_9 = e1
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (45), (160), (222), (8799), (10311),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10361), (10367), (function-axioms) are
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #177.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10368) all_58_13 = e1 & op(e0, e2) = e1
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (232),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (237), (356), (8767),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10355), (10361), (10368), (function-axioms) are
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #212.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10369) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (165), (228),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (233), (234), (8780), (9368),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9379), (10311), (10323), (10340), (10369),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #176.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10370) all_58_12 = e2 & op(e0, e3) = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (163),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (216), (217), (219), (225), (227), (228),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (236), (239), (240), (243), (244),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (358), (8762), (8766), (8780),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797), (8799), (9370), (10033), (10037), (10241),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10244), (10323), (10370), (function-axioms) are
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #171.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10371) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10371) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10372) all_58_6 = e3 & op(e1, e3) = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10372) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10373) all_58_6 = e3
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10374) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10374) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10375) all_58_4 = e1 & op(e3, e1) = e1
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10033), (10375), (function-axioms) are
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #302.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10376) all_58_5 = e1 & op(e2, e1) = e1
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10376) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10377) all_58_5 = e1
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10378) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10378) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10379) all_58_0 = e2 & op(e3, e3) = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10379) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10380) op(e3, e3) = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (8768), (10317), (10328),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10380), (function-axioms) are inconsistent by
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10381) all_58_2 = e2 & op(e2, e3) = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10381) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10382) all_58_2 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10383) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10383) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10384) all_58_2 = e0 & op(e2, e3) = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10384) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10385) all_58_2 = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10382), (10385) are inconsistent by
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1664.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10386) all_58_3 = e0 & op(e2, e2) = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10386) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10387) all_58_3 = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10388) op(e2, e2) = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (234), (240),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (10037), (10307), (10317), (10377),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10382), (10387), (10388), (function-axioms) are
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #834.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10389) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10389) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10390) all_58_5 = e0 & op(e2, e1) = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10390) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10391) op(e2, e1) = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (10391), (function-axioms) are
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10392) all_58_10 = e0 & op(e2, e0) = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10392) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10393) all_58_10 = e0
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10394) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10394) gives:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10395) all_58_6 = e2 & op(e1, e3) = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10395) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10396) all_58_6 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10373), (10396) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10397) e3 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10397) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10398) e3 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10328), (10398) imply:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10399) all_58_9 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (220), (222),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799), (10244), (10333), (10393), (10399),
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #221.
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10400) all_58_7 = e2 & op(e1, e2) = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10400) implies:
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10401) all_58_7 = e2
% 201.86/33.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (159),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (163), (164), (165), (169), (190), (192),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (217), (219), (220), (222), (224),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (239), (240), (242), (243), (244),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (257), (270), (355), (358), (8762),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8763), (8766), (8768), (8769), (8780), (8790),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8791), (8794), (8797), (8799), (9364), (9369),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370), (10025), (10032), (10033), (10037),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10049), (10238), (10239), (10241), (10243),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10244), (10314), (10317), (10323), (10328),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10329), (10333), (10336), (10373), (10401),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #168.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10402) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10402) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10403) all_58_8 = e2 & op(e1, e1) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10403) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10404) all_58_8 = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (227), (230), (10317),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10377), (10404) are inconsistent by sub-proof
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #672.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10405) all_58_11 = e2 & op(e1, e0) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10405) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10406) all_58_11 = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (220), (10244), (10328), (10393),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10406), (function-axioms) are inconsistent by
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10407) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (163),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (169), (216), (217), (219), (220), (222),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (230), (236), (239),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (243), (244), (245), (246), (358), (8762),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8766), (8780), (8797), (8799), (9369), (9370),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10033), (10037), (10241), (10244), (10323),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10328), (10373), (10407), (function-axioms) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #169.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10408) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10408) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10409) all_58_8 = e1 & op(e1, e1) = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8780), (10409) are inconsistent by sub-proof
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #253.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10410) all_58_14 = e1 & op(e0, e1) = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10410) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10411) all_58_14 = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (45), (158), (219), (8799), (9367),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10335), (10411), (function-axioms) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #638.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10412) all_58_12 = e3 & op(e0, e3) = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10412) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10413) all_58_12 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10335), (10413) are inconsistent by
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1640.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10414) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10414) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10415) all_58_13 = e0 & op(e0, e2) = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10415) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10416) all_58_13 = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10417) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (244),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370), (10037), (10328), (10417),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #178.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10418) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10418) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10419) all_58_7 = e1 & op(e1, e2) = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10419) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10420) all_58_7 = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10421) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10421) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10422) all_58_4 = e1 & op(e3, e1) = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10033), (10422), (function-axioms) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #302.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10423) all_58_5 = e1 & op(e2, e1) = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10423) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10424) all_58_5 = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10425) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10425) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10426) all_58_6 = e2 & op(e1, e3) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10426) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10427) all_58_6 = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10428) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10428) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10429) all_58_6 = e3 & op(e1, e3) = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (216),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (358), (8799), (9369), (10244),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10328), (10427), (10429), (function-axioms) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #179.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10430) all_58_7 = e3 & op(e1, e2) = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10420), (10430) are inconsistent by
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1687.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10431) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (8780), (10311), (10431),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #167.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10432) all_58_7 = e2 & op(e1, e2) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10432) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10433) all_58_7 = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10434) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (244),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370), (10037), (10328), (10434),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #178.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (10416), (10418), (10433) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1135.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10435) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10435) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10436) all_58_8 = e2 & op(e1, e1) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10436) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10437) all_58_8 = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (227), (230), (10317),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10424), (10437) are inconsistent by sub-proof
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #672.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10438) all_58_11 = e2 & op(e1, e0) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10438) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10439) op(e1, e0) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10241), (10439), (function-axioms) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #954.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10440) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10440) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10441) all_58_8 = e1 & op(e1, e1) = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8780), (10441) are inconsistent by sub-proof
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #253.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10442) all_58_14 = e1 & op(e0, e1) = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10442) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10443) all_58_14 = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10323), (10443) are inconsistent by
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #985.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10444) all_58_13 = e1 & op(e0, e2) = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10444) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10445) all_58_13 = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10416), (10445) are inconsistent by
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1325.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10446) all_58_14 = e0 & op(e0, e1) = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10446) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447) op(e0, e1) = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8762), (8797), (10447), (function-axioms) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #268.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10448) all_58_5 = e2 & op(e2, e1) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10448) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10449) op(e2, e1) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10281), (10449), (function-axioms) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #254.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (10450) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (216),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (358), (8780), (8799), (9367),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (10244), (10450), (function-axioms) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #225.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | (10451) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (10034), (10283), (10302), (10451) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1698.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | (10452) all_58_3 = e2 & op(e2, e2) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9370), (10452), (function-axioms) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | (10453) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10453) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | (10454) all_58_7 = e2 & op(e1, e2) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10454) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | (10455) all_58_7 = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | (10456) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10456) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | (10457) all_58_0 = e2 & op(e3, e3) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10457) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | (10458) op(e3, e3) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10037), (10458), (function-axioms) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | (10459) all_58_1 = e2 & op(e3, e2) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10459) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | (10460) all_58_1 = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (10461) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (244), (246),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (9360), (9370), (9392), (10037), (10461),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | #648.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (10462) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10462) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10463) all_58_7 = e1 & op(e1, e2) = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10463) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10464) all_58_7 = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10455), (10464) imply:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10465) e2 = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10460), (10465) imply:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10466) all_58_1 = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (244), (246),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9360), (9392), (10037), (10466),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | #657.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10467) all_58_13 = e1 & op(e0, e2) = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10467) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10468) all_58_13 = e1
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (235), (238), (10455),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10460), (10468) are inconsistent by sub-proof
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | #636.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | (10469) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10469) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | (10470) all_58_4 = e2 & op(e3, e1) = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10470) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | (10471) all_58_4 = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (10472) all_54_3 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (10472) imply:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (10473) all_52_12 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10473) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (10474) all_52_12 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (10474) imply:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (10475) ~ (all_52_14 = e3)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10475) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (10476) ~ (all_52_14 = e3)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10247) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10477) all_54_6 = e2
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10281), (10477) are inconsistent by
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1711.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10478) all_54_6 = e1 | all_54_6 = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10479) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (9368), (10471), (10479),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #185.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10480) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10480) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10481) all_58_8 = e3 & op(e1, e1) = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10481) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10482) all_58_8 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (10482) are inconsistent by sub-proof
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1630.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10483) all_58_14 = e3 & op(e0, e1) = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10483) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10484) all_58_14 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10485) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9360), (9392), (10037), (10485),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #678.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10486) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10486) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10487) all_58_4 = e3 & op(e3, e1) = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (216),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (358), (8799), (9367), (10244),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10471), (10484), (10487), (function-axioms) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #184.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10488) all_58_9 = e3 & op(e3, e0) = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10488) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10489) all_58_9 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10490) op(e3, e0) = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10491) all_58_15 = e0 & op(e0, e0) = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (10491), (function-axioms) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10492) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10492) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10493) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10494) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10493) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10495) all_58_12 = e0 & op(e0, e3) = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10495) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10496) all_58_12 = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10497) op(e0, e3) = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10498) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10498) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10499) all_58_0 = e3 & op(e3, e3) = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10037), (10499), (function-axioms) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10500) all_58_2 = e3 & op(e2, e3) = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10500) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10501) all_58_2 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10502) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9370), (10501), (10502), (function-axioms)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #242.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10503) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10503) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504) all_58_5 = e0 & op(e2, e1) = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10504) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10505) op(e2, e1) = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (10505), (function-axioms) are
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10506) all_58_10 = e0 & op(e2, e0) = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10506) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10507) all_58_10 = e0
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10508) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10508) gives:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10509) all_58_6 = e3 & op(e1, e3) = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10509) implies:
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10510) all_58_6 = e3
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (159),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (163), (164), (165), (169), (190), (192),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (217), (219), (220), (222), (224),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 201.86/33.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (239), (240), (242), (243), (244),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (257), (270), (355), (358), (8762),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8763), (8766), (8768), (8769), (8780), (8790),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8791), (8794), (8797), (8799), (9364), (9369),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370), (10025), (10032), (10033), (10037),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10049), (10238), (10239), (10241), (10243),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10244), (10455), (10471), (10478), (10484),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10489), (10490), (10494), (10497), (10510),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #168.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10511) all_58_7 = e3 & op(e1, e2) = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10511) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10512) all_58_7 = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10455), (10512) imply:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10513) e3 = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10489), (10513) imply:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10514) all_58_9 = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (220), (222),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799), (10244), (10494), (10507), (10514),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #221.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10515) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (165), (228),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (233), (234), (8780), (9368),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9379), (10476), (10484), (10501), (10515),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #176.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10516) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10516) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10517) all_58_6 = e3 & op(e1, e3) = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10517) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10518) all_58_6 = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (159),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (163), (164), (165), (169), (190), (192),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (217), (219), (220), (222), (224),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (239), (240), (242), (243), (244),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (257), (270), (355), (358), (8762),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8763), (8766), (8768), (8769), (8780), (8790),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8791), (8794), (8797), (8799), (9364), (9369),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370), (10025), (10032), (10033), (10037),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10049), (10238), (10239), (10241), (10243),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10244), (10455), (10471), (10478), (10484),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10489), (10490), (10494), (10497), (10518),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #168.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10519) all_58_12 = e3 & op(e0, e3) = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10519) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10520) all_58_12 = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10496), (10520) are inconsistent by
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1640.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10521) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10521) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10522) all_58_13 = e0 & op(e0, e2) = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10522) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10523) all_58_13 = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10524) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (244),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370), (10037), (10489), (10524),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #178.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10525) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (10455), (10523), (10525) are
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1135.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10526) all_58_14 = e0 & op(e0, e1) = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10526) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10527) op(e0, e1) = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8762), (8797), (10527), (function-axioms) are
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #268.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (10528) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (10034), (10283), (10302), (10528) are
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1698.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | (10529) all_58_9 = e2 & op(e3, e0) = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10529) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | (10530) all_58_9 = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (216),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (358), (8799), (9369), (10244),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | (10530), (function-axioms) are inconsistent by
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #625.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | (10531) all_58_13 = e2 & op(e0, e2) = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10531) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | (10532) all_58_13 = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | (10533) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (244), (246),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | (9370), (10037), (10533), (function-axioms) are
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #204.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | (10534) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10534) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | (10535) all_58_7 = e1 & op(e1, e2) = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10535) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | (10536) all_58_7 = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (10537) all_58_15 = e0 & op(e0, e0) = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (10537), (function-axioms) are
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (10538) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10538) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (10539) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10539) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10540) all_58_12 = e0 & op(e0, e3) = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10540) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10541) all_58_12 = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10542) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10542) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10543) all_58_0 = e3 & op(e3, e3) = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10037), (10543), (function-axioms) are
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10544) all_58_2 = e3 & op(e2, e3) = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10544) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10545) all_58_2 = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10546) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9370), (10545), (10546), (function-axioms)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #242.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10547) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10547) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10548) all_58_5 = e0 & op(e2, e1) = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10548) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10549) op(e2, e1) = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (10549), (function-axioms) are
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10550) all_58_10 = e0 & op(e2, e0) = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10550) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10551) all_58_10 = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10552) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10552) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10553) all_58_6 = e2 & op(e1, e3) = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10553) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10554) all_58_6 = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10555) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10555) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10556) all_58_6 = e3 & op(e1, e3) = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10556) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10557) all_58_6 = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10554), (10557) are inconsistent by
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #269.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10558) all_58_7 = e3 & op(e1, e2) = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10536), (10558) are inconsistent by
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1687.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10559) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10559) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10560) all_58_8 = e3 & op(e1, e1) = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (10560) are inconsistent by sub-proof
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #251.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10561) all_58_11 = e3 & op(e1, e0) = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10561) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10562) all_58_11 = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10563) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10563) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10564) all_58_9 = e1 & op(e3, e0) = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10564) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10565) all_58_9 = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10566) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (235), (9370), (10037),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10532), (10536), (10566), (function-axioms) are
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #192.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10567) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10567) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10568) all_58_4 = e3 & op(e3, e1) = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10568) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10569) all_58_4 = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10570) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (9370), (10030), (10570),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #203.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10571) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10571) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10572) all_58_5 = e1 & op(e2, e1) = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10572) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10573) all_58_5 = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10574) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10574) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10575) all_58_4 = e2 & op(e3, e1) = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10569), (10575) are inconsistent by
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #980.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10576) all_58_5 = e2 & op(e2, e1) = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10576) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10577) all_58_5 = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10573), (10577) imply:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10578) e2 = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10532), (10578) imply:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10579) all_58_13 = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (235), (237), (9370),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10536), (10579), (function-axioms) are
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #259.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10580) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (217),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (358), (8780), (8799), (10244), (10532),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10580), (function-axioms) are inconsistent by
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #165.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10581) all_58_10 = e1 & op(e2, e0) = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10581) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10582) all_58_10 = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10551), (10582) are inconsistent by
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1550.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10583) all_58_9 = e3 & op(e3, e0) = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10565), (10583) are inconsistent by
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1539.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10584) all_58_10 = e1 & op(e2, e0) = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10551), (10584) are inconsistent by
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1416.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10585) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (10244), (10562), (10585),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #628.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10586) all_58_7 = e2 & op(e1, e2) = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10586) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10587) all_58_7 = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10536), (10587) imply:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10588) e2 = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10588) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10589) e2 = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10532), (10589) imply:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10590) all_58_13 = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (235), (237), (9370),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10536), (10590), (function-axioms) are
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #259.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10591) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (8780), (10241), (10591),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #164.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10592) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10592) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10593) all_58_6 = e3 & op(e1, e3) = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10593) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10594) all_58_6 = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10595) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10595) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10596) all_58_1 = e0 & op(e3, e2) = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10596) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10597) all_58_1 = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10598) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10598) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10599) all_58_6 = e2 & op(e1, e3) = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10594), (10599) are inconsistent by
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1852.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10600) all_58_7 = e2 & op(e1, e2) = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10600) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10601) all_58_7 = e2
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10536), (10601) imply:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10602) e2 = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10532), (10602) imply:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10603) all_58_13 = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (237), (9370), (10536), (10597),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10603), (function-axioms) are inconsistent by
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #260.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10604) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (8780), (10241), (10604),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #164.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10605) all_58_3 = e0 & op(e2, e2) = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10605) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10606) op(e2, e2) = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9370), (10606), (function-axioms) are
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10607) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (162), (8767), (10532), (10607),
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #211.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10608) all_58_12 = e3 & op(e0, e3) = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10608) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10609) all_58_12 = e3
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10541), (10609) are inconsistent by
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1640.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10610) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10610) gives:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10611) all_58_13 = e0 & op(e0, e2) = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10532), (10611) are inconsistent by
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1547.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10612) all_58_14 = e0 & op(e0, e1) = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10612) implies:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10613) op(e0, e1) = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8762), (8797), (10613), (function-axioms) are
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #268.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | (10614) all_58_13 = e1 & op(e0, e2) = e1
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10532), (10614) are inconsistent by
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1672.
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | (10615) all_54_2 = e1 | all_54_2 = e0
% 201.86/33.63 | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8768), (10033), (10615) are inconsistent
% 201.86/33.63 | | | | | | | | | | | | | | | | | | by sub-proof #188.
% 201.86/33.63 | | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | (10616) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 201.86/33.63 | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 201.86/33.63 | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | | REF_CLOSE: (164), (165), (9368), (9369), (10616),
% 201.86/33.63 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.63 | | | | | | | | | | | #1399.
% 201.86/33.63 | | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | | |
% 201.86/33.63 | | | | | | | | | End of split
% 201.86/33.63 | | | | | | | | |
% 201.86/33.63 | | | | | | | | End of split
% 201.86/33.63 | | | | | | | |
% 201.86/33.63 | | | | | | | Case 2:
% 201.86/33.63 | | | | | | | |
% 201.86/33.63 | | | | | | | | (10617) all_14_2 = e2
% 201.86/33.63 | | | | | | | | (10618) op(e2, e3) = all_14_1 & $i(all_14_1) & ( ~ (all_14_1
% 201.86/33.63 | | | | | | | | = e1) | ( ~ (all_14_0 = e0) & op(e1, e3) =
% 201.86/33.63 | | | | | | | | all_14_0 & $i(all_14_0)))
% 201.86/33.63 | | | | | | | |
% 201.86/33.63 | | | | | | | | ALPHA: (10618) implies:
% 201.86/33.63 | | | | | | | | (10619) op(e2, e3) = all_14_1
% 201.86/33.63 | | | | | | | |
% 201.86/33.64 | | | | | | | | COMBINE_EQS: (339), (10617) imply:
% 201.86/33.64 | | | | | | | | (10620) all_22_2 = e2
% 201.86/33.64 | | | | | | | |
% 201.86/33.64 | | | | | | | | COMBINE_EQS: (290), (10617) imply:
% 201.86/33.64 | | | | | | | | (10621) all_56_12 = e2
% 201.86/33.64 | | | | | | | |
% 201.86/33.64 | | | | | | | | REDUCE: (360), (10617) imply:
% 201.86/33.64 | | | | | | | | (10622) ~ (all_52_1 = e2)
% 201.86/33.64 | | | | | | | |
% 201.86/33.64 | | | | | | | | REDUCE: (362), (10617) imply:
% 201.86/33.64 | | | | | | | | (10623) ~ (all_52_2 = e2)
% 201.86/33.64 | | | | | | | |
% 201.86/33.64 | | | | | | | | REDUCE: (366), (10617) imply:
% 201.86/33.64 | | | | | | | | (10624) ~ (all_52_4 = e2)
% 201.86/33.64 | | | | | | | |
% 201.86/33.64 | | | | | | | | REDUCE: (368), (10617) imply:
% 201.86/33.64 | | | | | | | | (10625) ~ (all_52_8 = e2)
% 201.86/33.64 | | | | | | | |
% 201.86/33.64 | | | | | | | | REDUCE: (355), (10617) imply:
% 201.86/33.64 | | | | | | | | (10626) ~ (e3 = e2)
% 201.86/33.64 | | | | | | | |
% 201.86/33.64 | | | | | | | | REDUCE: (51), (10617) imply:
% 201.86/33.64 | | | | | | | | (10627) op(e3, e3) = e2
% 201.86/33.64 | | | | | | | |
% 201.86/33.64 | | | | | | | | BETA: splitting (64) gives:
% 201.86/33.64 | | | | | | | |
% 201.86/33.64 | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | (10628) ~ (all_22_2 = e2)
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | REDUCE: (10620), (10628) imply:
% 201.86/33.64 | | | | | | | | | (10629) $false
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | CLOSE: (10629) is inconsistent.
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | (10630) op(e2, e3) = all_22_1 & $i(all_22_1) & ( ~
% 201.86/33.64 | | | | | | | | | (all_22_1 = e0) | ( ~ (all_22_0 = e1) & op(e0,
% 201.86/33.64 | | | | | | | | | e3) = all_22_0 & $i(all_22_0)))
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | ALPHA: (10630) implies:
% 201.86/33.64 | | | | | | | | | (10631) op(e2, e3) = all_22_1
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 201.86/33.64 | | | | | | | | | all_14_1, e3, e2, simplifying with (167), (10619)
% 201.86/33.64 | | | | | | | | | gives:
% 201.86/33.64 | | | | | | | | | (10632) all_52_1 = all_14_1
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 201.86/33.64 | | | | | | | | | all_22_1, e3, e2, simplifying with (167), (10631)
% 201.86/33.64 | | | | | | | | | gives:
% 201.86/33.64 | | | | | | | | | (10633) all_52_1 = all_22_1
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | COMBINE_EQS: (10632), (10633) imply:
% 201.86/33.64 | | | | | | | | | (10634) all_22_1 = all_14_1
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | SIMP: (10634) implies:
% 201.86/33.64 | | | | | | | | | (10635) all_22_1 = all_14_1
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | COMBINE_EQS: (279), (10632) imply:
% 201.86/33.64 | | | | | | | | | (10636) all_54_4 = all_14_1
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | REDUCE: (149), (10632) imply:
% 201.86/33.64 | | | | | | | | | (10637) ~ (all_52_2 = all_14_1)
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | SIMP: (10637) implies:
% 201.86/33.64 | | | | | | | | | (10638) ~ (all_52_2 = all_14_1)
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | REDUCE: (148), (10632) imply:
% 201.86/33.64 | | | | | | | | | (10639) ~ (all_52_3 = all_14_1)
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | SIMP: (10639) implies:
% 201.86/33.64 | | | | | | | | | (10640) ~ (all_52_3 = all_14_1)
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | REDUCE: (146), (10632) imply:
% 201.86/33.64 | | | | | | | | | (10641) ~ (all_52_9 = all_14_1)
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | SIMP: (10641) implies:
% 201.86/33.64 | | | | | | | | | (10642) ~ (all_52_9 = all_14_1)
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | REDUCE: (145), (10632) imply:
% 201.86/33.64 | | | | | | | | | (10643) ~ (all_52_13 = all_14_1)
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | SIMP: (10643) implies:
% 201.86/33.64 | | | | | | | | | (10644) ~ (all_52_13 = all_14_1)
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | REDUCE: (371), (10632) imply:
% 201.86/33.64 | | | | | | | | | (10645) ~ (all_14_1 = all_6_2)
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | REDUCE: (10622), (10632) imply:
% 201.86/33.64 | | | | | | | | | (10646) ~ (all_14_1 = e2)
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | BETA: splitting (55) gives:
% 201.86/33.64 | | | | | | | | |
% 201.86/33.64 | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | (10647) ~ (all_16_2 = e3)
% 201.86/33.64 | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | REDUCE: (345), (10647) imply:
% 201.86/33.64 | | | | | | | | | | (10648) ~ (all_6_2 = e3)
% 201.86/33.64 | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | BETA: splitting (199) gives:
% 201.86/33.64 | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | (10649) all_54_5 = e3
% 201.86/33.64 | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | COMBINE_EQS: (275), (10649) imply:
% 201.86/33.64 | | | | | | | | | | | (10650) all_6_2 = e3
% 201.86/33.64 | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | REDUCE: (10648), (10650) imply:
% 201.86/33.64 | | | | | | | | | | | (10651) $false
% 201.86/33.64 | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | CLOSE: (10651) is inconsistent.
% 201.86/33.64 | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | (10652) ~ (all_54_5 = e3)
% 201.86/33.64 | | | | | | | | | | | (10653) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 201.86/33.64 | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | BETA: splitting (10653) gives:
% 201.86/33.64 | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | (10654) all_54_5 = e2
% 201.86/33.64 | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | COMBINE_EQS: (275), (10654) imply:
% 201.86/33.64 | | | | | | | | | | | | (10655) all_6_2 = e2
% 201.86/33.64 | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | REDUCE: (356), (10655) imply:
% 201.86/33.64 | | | | | | | | | | | | (10656) $false
% 201.86/33.64 | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | CLOSE: (10656) is inconsistent.
% 201.86/33.64 | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | (10657) ~ (all_54_5 = e2)
% 201.86/33.64 | | | | | | | | | | | | (10658) all_54_5 = e1 | all_54_5 = e0
% 201.86/33.64 | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | BETA: splitting (10658) gives:
% 201.86/33.64 | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | (10659) all_54_5 = e1
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | COMBINE_EQS: (275), (10659) imply:
% 201.86/33.64 | | | | | | | | | | | | | (10660) all_6_2 = e1
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | REDUCE: (8798), (10660) imply:
% 201.86/33.64 | | | | | | | | | | | | | (10661) $false
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | CLOSE: (10661) is inconsistent.
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | (10662) all_54_5 = e0
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | COMBINE_EQS: (275), (10662) imply:
% 201.86/33.64 | | | | | | | | | | | | | (10663) all_6_2 = e0
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | COMBINE_EQS: (348), (10663) imply:
% 201.86/33.64 | | | | | | | | | | | | | (10664) all_20_2 = e0
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | COMBINE_EQS: (310), (10663) imply:
% 201.86/33.64 | | | | | | | | | | | | | (10665) all_26_2 = e0
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | COMBINE_EQS: (354), (10663) imply:
% 201.86/33.64 | | | | | | | | | | | | | (10666) all_56_13 = e0
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | REDUCE: (378), (10663) imply:
% 201.86/33.64 | | | | | | | | | | | | | (10667) ~ (all_52_7 = e0)
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | REDUCE: (10645), (10663) imply:
% 201.86/33.64 | | | | | | | | | | | | | (10668) ~ (all_14_1 = e0)
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | REDUCE: (10648), (10663) imply:
% 201.86/33.64 | | | | | | | | | | | | | (10669) ~ (e3 = e0)
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | REDUCE: (356), (10663) imply:
% 201.86/33.64 | | | | | | | | | | | | | (10670) ~ (e2 = e0)
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | REDUCE: (39), (10663) imply:
% 201.86/33.64 | | | | | | | | | | | | | (10671) op(e2, e2) = e0
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | BETA: splitting (61) gives:
% 201.86/33.64 | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | (10672) ~ (all_20_2 = e0)
% 201.86/33.64 | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | REDUCE: (10664), (10672) imply:
% 201.86/33.64 | | | | | | | | | | | | | | (10673) $false
% 201.86/33.64 | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | CLOSE: (10673) is inconsistent.
% 201.86/33.64 | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | (10674) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 201.86/33.64 | | | | | | | | | | | | | | (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 201.86/33.64 | | | | | | | | | | | | | | e2) = all_20_0 & $i(all_20_0)))
% 201.86/33.64 | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | ALPHA: (10674) implies:
% 201.86/33.64 | | | | | | | | | | | | | | (10675) op(e0, e2) = all_20_1
% 201.86/33.64 | | | | | | | | | | | | | | (10676) ~ (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 201.86/33.64 | | | | | | | | | | | | | | e2) = all_20_0 & $i(all_20_0))
% 201.86/33.64 | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 201.86/33.64 | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | (10677) ~ (all_26_2 = e0)
% 201.86/33.64 | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | REDUCE: (10665), (10677) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | (10678) $false
% 201.86/33.64 | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | CLOSE: (10678) is inconsistent.
% 201.86/33.64 | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | (10679) op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~
% 201.86/33.64 | | | | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 201.86/33.64 | | | | | | | | | | | | | | | e2) = all_26_0 & $i(all_26_0)))
% 201.86/33.64 | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | ALPHA: (10679) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | (10680) op(e0, e2) = all_26_1
% 201.86/33.64 | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 201.86/33.64 | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | (10681) all_58_15 = e0 & op(e0, e0) = e0
% 201.86/33.64 | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (10681), (function-axioms) are
% 201.86/33.64 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 201.86/33.64 | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | (10682) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.86/33.64 | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 201.86/33.64 | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 201.86/33.64 | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 201.86/33.64 | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 201.86/33.64 | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | ALPHA: (10682) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | (10683) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 201.86/33.64 | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 201.86/33.64 | | | | | | | | | | | | | | | | e0) = e0)
% 201.86/33.64 | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | BETA: splitting (10683) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | (10684) all_58_9 = e0 & op(e3, e0) = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | ALPHA: (10684) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | (10685) all_58_9 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | (10686) op(e3, e0) = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | (10687) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 201.86/33.64 | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | BETA: splitting (10687) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | (10688) all_58_0 = e0 & op(e3, e3) = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | ALPHA: (10688) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | (10689) op(e3, e3) = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10627), (10689), (function-axioms) are
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | (10690) all_58_2 = e0 & op(e2, e3) = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10619), (10668), (10690), (function-axioms) are
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #163.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.64 | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | (10691) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 201.86/33.64 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 201.86/33.64 | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | BETA: splitting (10691) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | (10692) all_58_6 = e0 & op(e1, e3) = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | ALPHA: (10692) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | (10693) op(e1, e3) = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8766), (10693), (function-axioms) are
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | (10694) all_58_12 = e0 & op(e0, e3) = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | ALPHA: (10694) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | (10695) all_58_12 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | (10696) op(e0, e3) = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | (10697) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10697) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10698) all_58_1 = e0 & op(e3, e2) = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10698) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10699) all_58_1 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (51), (242), (246), (355),
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10627), (10685), (10699), (function-axioms) are
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #161.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10700) all_58_3 = e0 & op(e2, e2) = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10700) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10701) all_58_3 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | all_20_1, e2, e0, simplifying with (158), (10675)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10702) all_52_7 = all_20_1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | all_26_1, e2, e0, simplifying with (158), (10680)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10703) all_52_7 = all_26_1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (10696) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10704) all_52_3 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (10686) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10705) all_52_12 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10702), (10703) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10706) all_26_1 = all_20_1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | SIMP: (10706) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10707) all_26_1 = all_20_1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (10702) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10708) all_54_13 = all_20_1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10640), (10704) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10709) ~ (all_14_1 = e0)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8791), (10704) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10710) ~ (all_4_1 = e0)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (10702) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10711) ~ (all_52_4 = all_20_1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10705) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10712) ~ (all_52_4 = e0)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10702) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10713) ~ (all_52_6 = all_20_1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (10702) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10714) ~ (all_20_1 = all_10_2)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8792), (10702) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10715) ~ (all_20_1 = all_4_1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10667), (10702) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10716) ~ (all_20_1 = e0)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10705) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10717) ~ (all_52_13 = e0)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | SIMP: (10717) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10718) ~ (all_52_13 = e0)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (10705) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10719) ~ (all_52_14 = e0)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (10705) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | (10720) ~ (all_10_2 = e0)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | (10721) ~ (all_30_2 = e2)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (10721) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | (10722) ~ (all_10_2 = e2)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | (10723) all_54_15 = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (8799), (10723) are inconsistent by
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1381.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | (10724) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10724) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | (10725) all_54_15 = e2
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (10722), (10725) are inconsistent by
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1380.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | (10726) all_54_15 = e1 | all_54_15 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10726) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | (10727) all_54_15 = e1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (10727) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | (10728) all_10_2 = e1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10728) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | (10729) all_10_2 = e1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (10729) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | (10730) all_40_2 = e1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (10729) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | (10731) all_46_2 = e1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (10729) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | (10732) ~ (all_52_13 = e1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (10729) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | (10733) ~ (all_52_14 = e1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10714), (10729) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | (10734) ~ (all_20_1 = e1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8796), (10729) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | (10735) ~ (all_4_1 = e1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10735) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | (10736) ~ (all_4_1 = e1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (10729) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | (10737) op(e0, e0) = e1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (10738) ~ (all_46_2 = e1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10731), (10738) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (10739) $false
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10739) is inconsistent.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (10740) op(e1, e0) = all_46_1 & $i(all_46_1) & ( ~
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2,
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10740) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (10741) op(e1, e0) = all_46_1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (10742) ~ (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2,
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0))
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10743) ~ (all_40_2 = e1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10730), (10743) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10744) $false
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10744) is inconsistent.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10745) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_40_0 & $i(all_40_0)))
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10745) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10746) op(e1, e0) = all_40_1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_1, e0, e1, simplifying with (160), (10746)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10747) all_52_14 = all_40_1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_1, e0, e1, simplifying with (160), (10741)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10748) all_52_14 = all_46_1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10747), (10748) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10749) all_46_1 = all_40_1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10749) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10750) all_46_1 = all_40_1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (10747) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10751) all_54_11 = all_40_1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (10747) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10752) ~ (all_52_13 = all_40_1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10733), (10747) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10753) ~ (all_40_1 = e1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8771), (10747) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10754) ~ (all_40_1 = e0)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10755) all_54_2 = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (10755) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10756) all_52_8 = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10756) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10757) all_52_8 = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (10757) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10758) ~ (all_52_4 = e3)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (10757) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10759) ~ (all_4_1 = e3)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10759) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10760) ~ (all_4_1 = e3)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10761) all_54_1 = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (10761) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10762) all_52_4 = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10758), (10762) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10763) $false
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10763) is inconsistent.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10764) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10765) all_54_14 = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (10760), (10765) are inconsistent by
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #202.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10766) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10766) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10767) all_54_14 = e2
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (10767) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10768) all_4_1 = e2
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10768) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10769) all_4_1 = e2
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10715), (10769) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10770) ~ (all_20_1 = e2)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (191), (282), (10624), (10676), (10708),
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10711), (10712), (10716), (10764), (10770),
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1206.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10771) all_54_14 = e1 | all_54_14 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (8797), (10736), (10771) are inconsistent
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #232.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10772) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10772) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10773) all_54_2 = e2
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (10625), (10773) are inconsistent by
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #982.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10774) all_54_2 = e1 | all_54_2 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10774) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10775) all_54_2 = e1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (10775) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10776) all_52_8 = e1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10776) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10777) all_52_8 = e1
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (10777) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10778) ~ (all_52_4 = e1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (10777) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10779) ~ (all_52_9 = e1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10779) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10780) ~ (all_52_9 = e1)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10781) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10781) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10782) all_58_0 = e3 & op(e3, e3) = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (10782), (function-axioms) are
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10783) all_58_1 = e3 & op(e3, e2) = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10783) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10784) all_58_1 = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10785) all_54_1 = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (10785) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10786) all_52_4 = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10786) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10787) all_52_4 = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (10787) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10788) ~ (all_52_6 = e3)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10788) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10789) ~ (all_52_6 = e3)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10711), (10787) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10790) ~ (all_20_1 = e3)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10790) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10791) ~ (all_20_1 = e3)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10792) all_54_13 = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10708), (10791), (10792) are inconsistent by
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1786.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10793) ~ (all_54_13 = e3)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10794) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10794) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10795) all_54_13 = e2
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10708), (10795) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10796) all_20_1 = e2
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10796) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10797) all_20_1 = e2
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10713), (10797) imply:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10798) ~ (all_52_6 = e2)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10799) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10799) gives:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10800) all_58_12 = e3 & op(e0, e3) = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (144), (159), (195), (196), (267), (268),
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8766), (8767), (10623), (10789), (10798),
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10800), (function-axioms) are inconsistent by
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #160.
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10801) all_58_13 = e3 & op(e0, e2) = e3
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10801) implies:
% 201.86/33.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10802) all_58_13 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10803) op(e0, e2) = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (235), (236), (237),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10784), (10802), (10803), (function-axioms) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1390.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10804) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10804) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10805) all_58_14 = e3 & op(e0, e1) = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10805) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10806) all_58_14 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10807) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10807) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10808) all_58_1 = e2 & op(e3, e2) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10624), (10808), (function-axioms) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10809) all_58_3 = e2 & op(e2, e2) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10671), (10809), (function-axioms) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10810) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10810) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10811) all_58_7 = e2 & op(e1, e2) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10811) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10812) op(e1, e2) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10798), (10812), (function-axioms) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1032.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10813) all_58_13 = e2 & op(e0, e2) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10813) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10814) all_58_13 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10815) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10815) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10816) all_58_4 = e2 & op(e3, e1) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10816) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10817) all_58_4 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (51), (242), (246),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (10627), (10685), (10817),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #181.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10818) all_58_5 = e2 & op(e2, e1) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10818) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10819) op(e2, e1) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (190), (193), (197), (198),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (8769), (8790), (8794), (8797),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10718), (10732), (10736), (10742), (10750),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10751), (10752), (10753), (10754), (10780),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10819), (function-axioms) are inconsistent by
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #158.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10820) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10820) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10821) all_58_8 = e2 & op(e1, e1) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10821) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10822) all_58_8 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (10822) are inconsistent by sub-proof
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #984.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10823) all_58_14 = e2 & op(e0, e1) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10823) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10824) all_58_14 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10806), (10824) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10825) e3 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10784), (10825) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10826) all_58_1 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (236), (238), (10671),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10701), (10814), (10826), (function-axioms) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #865.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10827) all_58_15 = e3 & op(e0, e0) = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10827) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10828) op(e0, e0) = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10737), (10828), (function-axioms) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10829) all_54_13 = e1 | all_54_13 = e0
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10708), (10716), (10734), (10829) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10830) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (10624), (10712), (10778), (10830) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1775.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10831) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10831) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10832) all_58_4 = e3 & op(e3, e1) = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10832) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10833) all_58_4 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10834) all_54_1 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (10834) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10835) all_52_4 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10835) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10836) all_52_4 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (10836) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10837) ~ (all_52_6 = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10837) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10838) ~ (all_52_6 = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10711), (10836) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10839) ~ (all_20_1 = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10839) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10840) ~ (all_20_1 = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10841) all_54_13 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10708), (10840), (10841) are inconsistent by
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1786.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10842) ~ (all_54_13 = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10843) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10843) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10844) all_54_13 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10708), (10844) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10845) all_20_1 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10845) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10846) all_20_1 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10713), (10846) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10847) ~ (all_52_6 = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10848) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10848) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10849) all_58_12 = e3 & op(e0, e3) = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (144), (159), (195), (196), (267), (268),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8766), (8767), (10623), (10838), (10847),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10849), (function-axioms) are inconsistent by
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #160.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10850) all_58_13 = e3 & op(e0, e2) = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10850) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10851) all_58_13 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10852) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10852) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10853) all_58_1 = e2 & op(e3, e2) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10853) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10854) all_58_1 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (240), (242), (10627),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10833), (10854), (function-axioms) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #486.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10855) all_58_3 = e2 & op(e2, e2) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10671), (10855), (function-axioms) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10856) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10856) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10857) all_58_7 = e2 & op(e1, e2) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10857) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10858) op(e1, e2) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10847), (10858), (function-axioms) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1032.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10859) all_58_13 = e2 & op(e0, e2) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10859) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10860) all_58_13 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10851), (10860) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10861) e3 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10833), (10861) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10862) all_58_4 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (51), (242), (246),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (10627), (10685), (10862),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #181.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10863) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10863) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10864) all_58_14 = e3 & op(e0, e1) = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10864) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10865) all_58_14 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10866) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10866) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10867) all_58_4 = e2 & op(e3, e1) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10867) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10868) all_58_4 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (51), (242), (246),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (10627), (10685), (10868),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #181.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10869) all_58_5 = e2 & op(e2, e1) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10869) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10870) op(e2, e1) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (190), (193), (197), (198),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (8769), (8790), (8794), (8797),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10718), (10732), (10736), (10742), (10750),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10751), (10752), (10753), (10754), (10780),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10870), (function-axioms) are inconsistent by
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #158.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10871) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10871) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10872) all_58_8 = e2 & op(e1, e1) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10872) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10873) all_58_8 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (10873) are inconsistent by sub-proof
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #984.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10874) all_58_14 = e2 & op(e0, e1) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10874) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10875) all_58_14 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10865), (10875) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10876) e3 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10833), (10876) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10877) all_58_4 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (51), (242), (246),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (10627), (10685), (10877),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #181.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10878) all_58_15 = e3 & op(e0, e0) = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10878) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10879) op(e0, e0) = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10737), (10879), (function-axioms) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10880) all_54_13 = e1 | all_54_13 = e0
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10708), (10716), (10734), (10880) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10881) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (10624), (10712), (10778), (10881) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1775.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10882) all_58_9 = e3 & op(e3, e0) = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10882) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10883) all_58_9 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10685), (10883) are inconsistent by
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1606.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10884) all_54_2 = e0
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8768), (10884) are inconsistent by
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #947.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | (10885) all_54_15 = e0
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (358), (10885) are inconsistent by
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1323.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | (10886) all_30_2 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | (10887) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0)))
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10887) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | (10888) op(e2, e0) = all_30_1
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (10886) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | (10889) all_10_2 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (10889) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | (10890) all_42_2 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (10889) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | (10891) all_56_15 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (10889) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | (10892) ~ (all_52_13 = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (10889) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | (10893) ~ (all_52_14 = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (10889) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | (10894) op(e0, e0) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | (10895) ~ (all_42_2 = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10890), (10895) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | (10896) $false
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10896) is inconsistent.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | (10897) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10897) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | (10898) op(e2, e0) = all_42_1
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | (10899) ~ (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0))
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | (10900) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10900) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | (10901) all_58_4 = e2 & op(e3, e1) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10901) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | (10902) all_58_4 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (51), (242), (246),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | (355), (10627), (10685), (10902),
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | #181.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | (10903) all_58_5 = e2 & op(e2, e1) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10903) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | (10904) all_58_5 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | (10905) op(e2, e1) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (10906) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10906) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10907) all_58_1 = e2 & op(e3, e2) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10624), (10907), (function-axioms) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10908) all_58_3 = e2 & op(e2, e2) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10671), (10908), (function-axioms) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (10909) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10909) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10910) all_58_7 = e2 & op(e1, e2) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10910) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10911) all_58_7 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10912) op(e1, e2) = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (10912) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10913) all_52_6 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (10888)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10914) all_52_13 = all_30_1
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (10898)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10915) all_52_13 = all_42_1
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (10905) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10916) all_52_9 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10914), (10915) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10917) all_42_1 = all_30_1
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (10914) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10918) all_54_7 = all_30_1
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10642), (10916) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10919) ~ (all_14_1 = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10644), (10914) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10920) ~ (all_30_1 = all_14_1)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10892), (10914) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10921) ~ (all_30_1 = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10718), (10914) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10922) ~ (all_30_1 = e0)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10923) all_54_8 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10923) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10924) all_52_2 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (10924) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10925) ~ (all_52_14 = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10925) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10926) ~ (all_52_14 = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10638), (10924) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10927) ~ (all_14_1 = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10927) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10928) ~ (all_14_1 = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10929) all_54_4 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10636), (10929) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10930) all_14_1 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10928), (10930) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10931) $false
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10931) is inconsistent.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10932) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10932) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10933) all_54_4 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10636), (10933) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10934) all_14_1 = e2
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10646), (10934) imply:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10935) $false
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10935) is inconsistent.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10936) ~ (all_54_4 = e2)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10937) all_54_4 = e1 | all_54_4 = e0
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10938) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10938) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10939) all_58_0 = e3 & op(e3, e3) = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (10939), (function-axioms) are
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10940) all_58_2 = e3 & op(e2, e3) = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10940) implies:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10941) all_58_2 = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10942) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10942) gives:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10943) all_58_9 = e3 & op(e3, e0) = e3
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10943) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10944) all_58_9 = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10685), (10944) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10945) e3 = e0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (51), (241), (245), (355),
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10627), (10695), (10941), (10945),
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #156.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10946) all_58_10 = e3 & op(e2, e0) = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10946) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10947) all_58_10 = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (232), (233),
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10941), (10947) are inconsistent by sub-proof
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #876.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10948) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (8799), (10926), (10948),
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10949) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10949) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10950) all_58_6 = e3 & op(e1, e3) = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10950) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10951) all_58_6 = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10952) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10952) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10953) all_58_6 = e1 & op(e1, e3) = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10951), (10953) are inconsistent by
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1853.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10954) all_58_7 = e1 & op(e1, e2) = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10911), (10954) are inconsistent by
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1835.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10955) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10955) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10956) all_58_8 = e1 & op(e1, e1) = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8780), (10956) are inconsistent by sub-proof
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #263.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10957) all_58_11 = e1 & op(e1, e0) = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10957) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10958) all_58_11 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10959) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10959) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10960) all_58_0 = e1 & op(e3, e3) = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10960) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10961) op(e3, e3) = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10627), (10961), (function-axioms) are
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10962) all_58_2 = e1 & op(e2, e3) = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10962) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10963) all_58_2 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10937) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10964) all_54_4 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10636), (10964) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10965) all_14_1 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10965) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10966) all_14_1 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10920), (10966) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10967) ~ (all_30_1 = e1)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10646), (10966) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10968) ~ (e2 = e1)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10619), (10966) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10969) op(e2, e3) = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10970) all_54_7 = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10918), (10970) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10971) all_30_1 = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10888), (10971) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10972) op(e2, e0) = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10973) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10973) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10974) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10974) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10975) op(e0, e2) = all_56_10
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10976) ~ (all_56_15 = e2) | all_56_10 = e0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10675), (10716), (10891), (10975), (10976),
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1427.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10977) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10905), (10969), (10977), (function-axioms)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #207.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10978) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10979) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10979) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10980) op(e2, e0) = all_56_5
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10981) ~ (all_56_13 = e0) | all_56_5 = e2
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (164), (10666), (10888), (10890), (10892),
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10980), (10981), (function-axioms) are
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1423.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10982) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10982) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10983) op(e2, e3) = all_56_3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10984) all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0) =
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 & $i(all_56_5))
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10985) all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10984) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10986) all_56_3 = e0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10985) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10987) all_56_3 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10986), (10987) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10988) e1 = e0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10963), (10988) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10989) all_58_2 = e0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (241), (10627), (10695), (10951),
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10989), (function-axioms) are inconsistent by
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #157.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10990) ~ (all_56_3 = e1)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_56_3,
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (10969), (10983) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10991) all_56_3 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10990), (10991) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10992) $false
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10992) is inconsistent.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10993) ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10972), (10993), (function-axioms) are
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #452.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10994) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10918), (10921), (10922), (10967), (10994) are
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #777.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10995) all_54_4 = e0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10636), (10668), (10995) are inconsistent by
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1216.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10996) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10996) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10997) all_58_6 = e1 & op(e1, e3) = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10951), (10997) are inconsistent by
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1853.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10998) all_58_12 = e1 & op(e0, e3) = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10998) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10999) all_58_12 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10695), (10999) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11000) e1 = e0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11000) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11001) e1 = e0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10958), (11001) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11002) all_58_11 = e0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11003) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (10911), (10951), (11003) are
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #977.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8780), (10955), (11002) are inconsistent by
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #252.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11004) all_58_12 = e3 & op(e0, e3) = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10695), (11004) are inconsistent by
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1096.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11005) ~ (all_54_8 = e3)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11006) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (11005) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11007) ~ (all_52_2 = e3)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11006) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11008) all_54_8 = e2
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (11008) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11009) all_52_2 = e2
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10623), (11009) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11010) $false
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11010) is inconsistent.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11011) ~ (all_54_8 = e2)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11012) all_54_8 = e1 | all_54_8 = e0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11013) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11013) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11014) all_58_0 = e3 & op(e3, e3) = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (11014), (function-axioms) are
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11015) all_58_2 = e3 & op(e2, e3) = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11015) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11016) all_58_2 = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11017) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (10701), (11016), (11017) are
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1052.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11018) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11018) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11019) all_58_5 = e1 & op(e2, e1) = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10904), (11019) are inconsistent by
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1890.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11020) all_58_10 = e1 & op(e2, e0) = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11020) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11021) all_58_10 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11022) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11022) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11023) all_58_6 = e3 & op(e1, e3) = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11023) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11024) all_58_6 = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (239), (241),
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (10623), (11016), (11024),
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #504.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11025) all_58_7 = e3 & op(e1, e2) = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11025) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11026) all_58_7 = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10911), (11026) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11027) e3 = e2
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (10627), (11016), (11027),
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11028) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11028) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11029) all_58_8 = e3 & op(e1, e1) = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11029) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11030) all_58_8 = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (11030) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11031) e3 = e0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11016), (11031) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11032) all_58_2 = e0
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (234), (10671), (10904), (11021),
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11032), (function-axioms) are inconsistent by
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #760.
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11033) all_58_11 = e3 & op(e1, e0) = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11033) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11034) op(e1, e0) = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11012) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11035) all_54_8 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (11035) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11036) all_52_2 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11036) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11037) all_52_2 = e1
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10638), (11037) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11038) ~ (all_14_1 = e1)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11038) implies:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11039) ~ (all_14_1 = e1)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11040) all_54_4 = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10636), (11040) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11041) all_14_1 = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10920), (11041) imply:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11042) ~ (all_30_1 = e3)
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11043) all_54_7 = e3
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10918), (11042), (11043) are inconsistent by
% 201.86/33.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1079.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11044) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11044) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11045) all_54_7 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10918), (10921), (11045) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1684.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11046) all_54_7 = e1 | all_54_7 = e0
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11046) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11047) all_54_7 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10918), (11047) imply:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11048) all_30_1 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11048) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11049) all_30_1 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10917), (11049) imply:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11050) all_42_1 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10899) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11051) ~ (all_42_1 = e1)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11050), (11051) imply:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11052) $false
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11052) is inconsistent.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11053) ~ (all_42_0 = e3) & op(e1, e0) = all_42_0 &
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11053) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11054) ~ (all_42_0 = e3)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11055) op(e1, e0) = all_42_0
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11034), (11054), (11055), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #640.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11056) all_54_7 = e0
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10918), (10922), (11056) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1678.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11057) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10636), (10646), (10668), (11039), (11057) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #598.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11058) all_54_8 = e0
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (8766), (11058) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1738.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11059) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11059) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11060) all_58_6 = e3 & op(e1, e3) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11060) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11061) op(e1, e3) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11007), (11061), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #609.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11062) all_58_12 = e3 & op(e0, e3) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10695), (11062) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1096.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11063) all_58_13 = e2 & op(e0, e2) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11063) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11064) all_58_13 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11065) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11065) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11066) all_58_12 = e3 & op(e0, e3) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11066) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11067) all_58_12 = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10695), (11067) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1640.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11068) all_58_13 = e3 & op(e0, e2) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11068) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11069) all_58_13 = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11064), (11069) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1825.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11070) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11070) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11071) all_58_14 = e3 & op(e0, e1) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11071) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11072) all_58_14 = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11073) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11073) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11074) all_58_6 = e2 & op(e1, e3) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11074) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11075) op(e1, e3) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10623), (11075), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11076) all_58_7 = e2 & op(e1, e2) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11076) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11077) all_58_7 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11078) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11078) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11079) all_58_1 = e1 & op(e3, e2) = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11079) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11080) all_58_1 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11081) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11081) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11082) all_58_0 = e3 & op(e3, e3) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (11082), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11083) all_58_1 = e3 & op(e3, e2) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11080), (11083) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1792.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11084) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11084) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11085) all_58_4 = e3 & op(e3, e1) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11085) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11086) all_58_4 = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11087) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (10671), (11080), (11087),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #766.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11088) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11088) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11089) all_58_7 = e3 & op(e1, e2) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11089) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11090) all_58_7 = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11077), (11090) imply:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11091) e3 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11086), (11091) imply:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11092) all_58_4 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (51), (246), (355), (10685),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11080), (11092), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11093) all_58_13 = e3 & op(e0, e2) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11093) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11094) all_58_13 = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11064), (11094) imply:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11095) e3 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11086), (11095) imply:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11096) all_58_4 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (51), (246), (355), (10685),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11080), (11096), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11097) all_58_9 = e3 & op(e3, e0) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10685), (11097) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1911.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11098) all_58_3 = e1 & op(e2, e2) = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11098) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11099) all_58_3 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10701), (11099) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1551.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11100) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11100) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11101) all_58_7 = e1 & op(e1, e2) = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11077), (11101) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1835.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11102) all_58_13 = e1 & op(e0, e2) = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11064), (11102) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1672.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11103) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (227), (228),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (10893), (10904), (11072), (11103),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #155.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11104) all_58_15 = e3 & op(e0, e0) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8799), (11104), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | (11105) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11105) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | (11106) all_58_8 = e2 & op(e1, e1) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11106) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | (11107) all_58_8 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (11107) are inconsistent by sub-proof
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | #984.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | (11108) all_58_14 = e2 & op(e0, e1) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11108) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | (11109) all_58_14 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (11110) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11110) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11111) all_58_1 = e2 & op(e3, e2) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10624), (11111), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11112) all_58_3 = e2 & op(e2, e2) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10671), (11112), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (11113) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11113) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11114) all_58_7 = e2 & op(e1, e2) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11114) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11115) all_58_7 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11116) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11116) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11117) all_58_12 = e3 & op(e0, e3) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (45), (216), (217),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (10894), (11109), (11117),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #227.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11118) all_58_13 = e3 & op(e0, e2) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11118) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11119) all_58_13 = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11120) op(e0, e2) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11121) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11121) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11122) all_58_1 = e1 & op(e3, e2) = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11122) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11123) all_58_1 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11124) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11124) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11125) all_58_2 = e2 & op(e2, e3) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11125) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11126) all_58_2 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (10627), (11126), (function-axioms)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1234.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11127) all_58_3 = e2 & op(e2, e2) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10671), (11127), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11128) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11128) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11129) all_58_5 = e2 & op(e2, e1) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11129) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11130) all_58_5 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11131) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11131) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11132) all_58_0 = e3 & op(e3, e3) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (11132), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11133) all_58_1 = e3 & op(e3, e2) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11133) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11134) all_58_1 = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (235), (236), (11115),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11119), (11120), (11134), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1391.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11135) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11135) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11136) all_58_4 = e3 & op(e3, e1) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11136) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11137) all_58_4 = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11138) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11138) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11139) all_58_12 = e1 & op(e0, e3) = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11139) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11140) all_58_12 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10695), (11140) imply:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11141) e1 = e0
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11123), (11141) imply:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11142) all_58_1 = e0
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (242), (10627), (10685), (11137),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11142), (function-axioms) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #162.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11143) all_58_13 = e1 & op(e0, e2) = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11143) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11144) all_58_13 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11119), (11144) imply:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11145) e3 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11145) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11146) e3 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11137), (11146) imply:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11147) all_58_4 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (227), (228),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (8769), (11109), (11130), (11147),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #154.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11148) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11148) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11149) all_58_14 = e1 & op(e0, e1) = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11149) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11150) all_58_14 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11109), (11150) imply:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11151) e2 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11151) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11152) e2 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (11152) imply:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11153) all_58_7 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (237), (238), (10701),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11123), (11153) are inconsistent by sub-proof
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1623.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11154) all_58_15 = e1 & op(e0, e0) = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11154) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11155) op(e0, e0) = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10894), (11155), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11156) all_58_9 = e3 & op(e3, e0) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10685), (11156) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1911.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11157) all_58_10 = e2 & op(e2, e0) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11157) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11158) op(e2, e0) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10888), (10892), (10898), (11158),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1425.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11159) all_58_3 = e1 & op(e2, e2) = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11159) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11160) all_58_3 = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10701), (11160) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1551.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11161) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11161) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11162) all_58_7 = e1 & op(e1, e2) = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11115), (11162) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1835.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11163) all_58_13 = e1 & op(e0, e2) = e1
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11119), (11163) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1797.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11164) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11164) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11165) all_58_14 = e3 & op(e0, e1) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11109), (11165) are inconsistent by
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #317.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11166) all_58_15 = e3 & op(e0, e0) = e3
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8799), (11166), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11167) all_58_13 = e2 & op(e0, e2) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11167) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11168) all_58_13 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (217),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (358), (8799), (10894), (11109), (11168),
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | #166.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | (11169) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11169) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | (11170) all_58_7 = e0 & op(e1, e2) = e0
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11170) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | (11171) op(e1, e2) = e0
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8767), (11171), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | (11172) all_58_13 = e0 & op(e0, e2) = e0
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11172) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | (11173) all_58_13 = e0
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | (11174) op(e0, e2) = e0
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | (11175) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11175) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | (11176) all_58_1 = e2 & op(e3, e2) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10624), (11176), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | (11177) all_58_3 = e2 & op(e2, e2) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10671), (11177), (function-axioms) are
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | (11178) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11178) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | (11179) all_58_7 = e2 & op(e1, e2) = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11179) implies:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | (11180) all_58_7 = e2
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | (11181) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11181) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | (11182) all_58_1 = e1 & op(e3, e2) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11182) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | (11183) all_58_1 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (238), (10671), (11174), (11180),
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | (11183), (function-axioms) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #153.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | (11184) all_58_3 = e1 & op(e2, e2) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11184) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | (11185) op(e2, e2) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (11186) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11186) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11187) all_58_12 = e3 & op(e0, e3) = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10695), (11187) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1096.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11188) all_58_13 = e3 & op(e0, e2) = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11188) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11189) op(e0, e2) = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11174), (11189), (function-axioms) are
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1584.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (11190) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11190) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11191) all_58_14 = e3 & op(e0, e1) = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11191) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11192) all_58_14 = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11193) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11193) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11194) all_58_1 = e3 & op(e3, e2) = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11194) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11195) all_58_1 = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11196) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11196) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11197) all_58_0 = e1 & op(e3, e3) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11197) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11198) op(e3, e3) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10627), (11198), (function-axioms) are
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11199) all_58_1 = e1 & op(e3, e2) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11199) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11200) all_58_1 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (238), (10671), (11174), (11180),
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11200), (function-axioms) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #153.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11201) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11201) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11202) all_58_4 = e1 & op(e3, e1) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11202) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11203) all_58_4 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11204) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11204) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11205) all_58_12 = e1 & op(e0, e3) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11205) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11206) all_58_12 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10695), (11206) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1237.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11207) all_58_13 = e1 & op(e0, e2) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11207) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11208) all_58_13 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11173), (11208) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1325.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11209) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11209) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11210) all_58_14 = e1 & op(e0, e1) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11210) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11211) all_58_14 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11192), (11211) imply:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11212) e3 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11195), (11212) imply:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11213) all_58_1 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (238), (10671), (11174), (11180),
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11213), (function-axioms) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #153.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11214) all_58_15 = e1 & op(e0, e0) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11214) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11215) op(e0, e0) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11216) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11216) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11217) all_58_4 = e2 & op(e3, e1) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11217) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11218) all_58_4 = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11203), (11218) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1647.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11219) all_58_5 = e2 & op(e2, e1) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11219) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11220) all_58_5 = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11221) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11221) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11222) all_58_12 = e2 & op(e0, e3) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11222) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11223) all_58_12 = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11224) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11224) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11225) all_58_0 = e0 & op(e3, e3) = e0
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11225) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11226) op(e3, e3) = e0
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10627), (11226), (function-axioms) are
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11227) all_58_2 = e0 & op(e2, e3) = e0
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11227) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11228) all_58_2 = e0
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11229) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (10627), (11228), (11229),
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1268.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11230) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11230) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11231) all_58_6 = e1 & op(e1, e3) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (10627), (11223), (11231),
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #152.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11232) all_58_12 = e1 & op(e0, e3) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11223), (11232) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1734.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10691) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11233) all_58_6 = e0 & op(e1, e3) = e0
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11233) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11234) all_58_6 = e0
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11235) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11235) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11236) all_58_0 = e3 & op(e3, e3) = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (11236), (function-axioms) are
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11237) all_58_2 = e3 & op(e2, e3) = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11237) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11238) all_58_2 = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (241), (10627), (11223), (11234),
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11238), (function-axioms) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11239) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11239) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11240) all_58_6 = e3 & op(e1, e3) = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11240) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11241) all_58_6 = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11234), (11241) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1533.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11242) all_58_12 = e3 & op(e0, e3) = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11242) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11243) all_58_12 = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11223), (11243) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1405.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10694), (11223) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1267.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11244) all_58_13 = e2 & op(e0, e2) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11244) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11245) all_58_13 = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11173), (11245) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1372.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11246) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11246) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11247) all_58_14 = e2 & op(e0, e1) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11247) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11248) all_58_14 = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (227), (228),
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (8769), (11203), (11220), (11248),
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #154.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11249) all_58_15 = e2 & op(e0, e0) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11249) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11250) op(e0, e0) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11215), (11250), (function-axioms) are
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11251) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11251) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11252) all_58_8 = e2 & op(e1, e1) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (11252) are inconsistent by sub-proof
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #219.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11253) all_58_14 = e2 & op(e0, e1) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11192), (11253) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #823.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11254) all_58_9 = e1 & op(e3, e0) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10685), (11254) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1634.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11255) all_58_3 = e3 & op(e2, e2) = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11255) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11256) op(e2, e2) = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11185), (11256), (function-axioms) are
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11257) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (11174), (11180), (11257),
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #151.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11258) all_58_15 = e3 & op(e0, e0) = e3
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8799), (11258), (function-axioms) are
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | (11259) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11259) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | (11260) all_58_7 = e1 & op(e1, e2) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11180), (11260) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1835.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | (11261) all_58_13 = e1 & op(e0, e2) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11173), (11261) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1273.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | (11262) all_58_13 = e2 & op(e0, e2) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11173), (11262) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1274.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | (11263) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 201.86/33.68 | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 201.86/33.68 | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | BETA: splitting (11263) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | (11264) all_58_10 = e0 & op(e2, e0) = e0
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | ALPHA: (11264) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | (11265) all_58_10 = e0
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (233), (234),
% 201.86/33.68 | | | | | | | | | | | | | | | | | | (10671), (11265), (function-axioms) are
% 201.86/33.68 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #755.
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | (11266) all_58_11 = e0 & op(e1, e0) = e0
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | ALPHA: (11266) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | (11267) all_58_11 = e0
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | (11268) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (11268) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | (11269) all_58_6 = e2 & op(e1, e3) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | ALPHA: (11269) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | (11270) op(e1, e3) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10623), (11270), (function-axioms) are
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | (11271) all_58_7 = e2 & op(e1, e2) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | ALPHA: (11271) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | (11272) all_58_7 = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (224), (226), (8780),
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | (11267), (11272) are inconsistent by sub-proof
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | | #250.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | (11273) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (11267), (11273) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | sub-proof #247.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | (11274) all_16_2 = e3
% 201.86/33.68 | | | | | | | | | | (11275) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 201.86/33.68 | | | | | | | | | | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 201.86/33.68 | | | | | | | | | | e2) = all_16_0 & $i(all_16_0)))
% 201.86/33.68 | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | ALPHA: (11275) implies:
% 201.86/33.68 | | | | | | | | | | (11276) op(e3, e2) = all_16_1
% 201.86/33.68 | | | | | | | | | | (11277) ~ (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 201.86/33.68 | | | | | | | | | | e2) = all_16_0 & $i(all_16_0))
% 201.86/33.68 | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | COMBINE_EQS: (345), (11274) imply:
% 201.86/33.68 | | | | | | | | | | (11278) all_6_2 = e3
% 201.86/33.68 | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | SIMP: (11278) implies:
% 201.86/33.68 | | | | | | | | | | (11279) all_6_2 = e3
% 201.86/33.68 | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | COMBINE_EQS: (349), (11279) imply:
% 201.86/33.68 | | | | | | | | | | (11280) all_38_2 = e3
% 201.86/33.68 | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | COMBINE_EQS: (354), (11279) imply:
% 201.86/33.68 | | | | | | | | | | (11281) all_56_13 = e3
% 201.86/33.68 | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | REDUCE: (374), (11279) imply:
% 201.86/33.68 | | | | | | | | | | (11282) ~ (all_52_4 = e3)
% 201.86/33.68 | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | REDUCE: (378), (11279) imply:
% 201.86/33.68 | | | | | | | | | | (11283) ~ (all_52_7 = e3)
% 201.86/33.68 | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | REDUCE: (380), (11279) imply:
% 201.86/33.68 | | | | | | | | | | (11284) ~ (all_52_9 = e3)
% 201.86/33.68 | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | REDUCE: (382), (11279) imply:
% 201.86/33.68 | | | | | | | | | | (11285) ~ (all_52_13 = e3)
% 201.86/33.68 | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | REDUCE: (39), (11279) imply:
% 201.86/33.68 | | | | | | | | | | (11286) op(e2, e2) = e3
% 201.86/33.68 | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | BETA: splitting (238) gives:
% 201.86/33.68 | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | (11287) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 201.86/33.68 | | | | | | | | | | | & op(e2, e2) = e3)
% 201.86/33.68 | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | BETA: splitting (11287) gives:
% 201.86/33.68 | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | (11288) all_58_1 = e3 & op(e3, e2) = e3
% 201.86/33.68 | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | ALPHA: (11288) implies:
% 201.86/33.68 | | | | | | | | | | | | (11289) all_58_1 = e3
% 201.86/33.68 | | | | | | | | | | | | (11290) op(e3, e2) = e3
% 201.86/33.68 | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | BETA: splitting (235) gives:
% 201.86/33.68 | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | (11291) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 201.86/33.68 | | | | | | | | | | | | | & op(e2, e2) = e0)
% 201.86/33.68 | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | REF_CLOSE: (7), (11286), (11289), (11291), (function-axioms)
% 201.86/33.68 | | | | | | | | | | | | | are inconsistent by sub-proof #831.
% 201.86/33.68 | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | (11292) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 201.86/33.68 | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 201.86/33.68 | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | BETA: splitting (11292) gives:
% 201.86/33.68 | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | (11293) all_58_7 = e0 & op(e1, e2) = e0
% 201.86/33.68 | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | ALPHA: (11293) implies:
% 201.86/33.68 | | | | | | | | | | | | | | (11294) op(e1, e2) = e0
% 201.86/33.68 | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | REF_CLOSE: (162), (8767), (11294), (function-axioms) are
% 201.86/33.68 | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 201.86/33.68 | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | (11295) all_58_13 = e0 & op(e0, e2) = e0
% 201.86/33.68 | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | ALPHA: (11295) implies:
% 201.86/33.68 | | | | | | | | | | | | | | (11296) all_58_13 = e0
% 201.86/33.68 | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 201.86/33.68 | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | (11297) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 201.86/33.68 | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | REF_CLOSE: (8), (11286), (11289), (11297), (function-axioms)
% 201.86/33.68 | | | | | | | | | | | | | | | are inconsistent by sub-proof #231.
% 201.86/33.68 | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | (11298) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 201.86/33.68 | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 201.86/33.68 | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | BETA: splitting (11298) gives:
% 201.86/33.68 | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | (11299) all_58_7 = e1 & op(e1, e2) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | ALPHA: (11299) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | (11300) all_58_7 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | (11301) ~ (all_38_2 = e3)
% 201.86/33.68 | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | REDUCE: (11280), (11301) imply:
% 201.86/33.68 | | | | | | | | | | | | | | | | | (11302) $false
% 201.86/33.68 | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | CLOSE: (11302) is inconsistent.
% 201.86/33.68 | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | (11303) op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 201.86/33.68 | | | | | | | | | | | | | | | | | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0,
% 201.86/33.68 | | | | | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 201.86/33.68 | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | ALPHA: (11303) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | (11304) op(e3, e2) = all_38_1
% 201.86/33.68 | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | (11305) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | BETA: splitting (11305) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | (11306) all_58_1 = e2 & op(e3, e2) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10624), (11306), (function-axioms) are
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | (11307) all_58_3 = e2 & op(e2, e2) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11286), (11307), (function-axioms) are
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | (11308) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 201.86/33.68 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | BETA: splitting (11308) gives:
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | (11309) all_58_7 = e2 & op(e1, e2) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11300), (11309) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | sub-proof #1826.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | (11310) all_58_13 = e2 & op(e0, e2) = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | ALPHA: (11310) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | (11311) all_58_13 = e2
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (170), (235), (236),
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | (11276), (11277), (11286), (11289), (11290),
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | (11304), (11311), (function-axioms) are
% 201.86/33.68 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #505.
% 201.86/33.68 | | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | (11312) all_58_13 = e1 & op(e0, e2) = e1
% 201.86/33.68 | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | ALPHA: (11312) implies:
% 201.86/33.68 | | | | | | | | | | | | | | | | (11313) all_58_13 = e1
% 201.86/33.68 | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11296), (11313) are inconsistent by
% 201.86/33.68 | | | | | | | | | | | | | | | | sub-proof #1325.
% 201.86/33.68 | | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | End of split
% 201.86/33.68 | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | Case 2:
% 201.86/33.68 | | | | | | | | | | | |
% 201.86/33.68 | | | | | | | | | | | | (11314) all_58_3 = e3 & op(e2, e2) = e3
% 201.86/33.68 | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | ALPHA: (11314) implies:
% 201.86/33.69 | | | | | | | | | | | | (11315) all_58_3 = e3
% 201.86/33.69 | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | BETA: splitting (88) gives:
% 201.86/33.69 | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | Case 1:
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | (11316) ~ (all_38_2 = e3)
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | REDUCE: (11280), (11316) imply:
% 201.86/33.69 | | | | | | | | | | | | | (11317) $false
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | CLOSE: (11317) is inconsistent.
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | Case 2:
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | (11318) op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 201.86/33.69 | | | | | | | | | | | | | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0,
% 201.86/33.69 | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | ALPHA: (11318) implies:
% 201.86/33.69 | | | | | | | | | | | | | (11319) op(e3, e2) = all_38_1
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 201.86/33.69 | | | | | | | | | | | | | all_16_1, e2, e3, simplifying with (170), (11276)
% 201.86/33.69 | | | | | | | | | | | | | gives:
% 201.86/33.69 | | | | | | | | | | | | | (11320) all_52_4 = all_16_1
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 201.86/33.69 | | | | | | | | | | | | | all_38_1, e2, e3, simplifying with (170), (11319)
% 201.86/33.69 | | | | | | | | | | | | | gives:
% 201.86/33.69 | | | | | | | | | | | | | (11321) all_52_4 = all_38_1
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | COMBINE_EQS: (11320), (11321) imply:
% 201.86/33.69 | | | | | | | | | | | | | (11322) all_38_1 = all_16_1
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | SIMP: (11322) implies:
% 201.86/33.69 | | | | | | | | | | | | | (11323) all_38_1 = all_16_1
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | COMBINE_EQS: (282), (11320) imply:
% 201.86/33.69 | | | | | | | | | | | | | (11324) all_54_1 = all_16_1
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | REDUCE: (136), (11320) imply:
% 201.86/33.69 | | | | | | | | | | | | | (11325) ~ (all_52_6 = all_16_1)
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | SIMP: (11325) implies:
% 201.86/33.69 | | | | | | | | | | | | | (11326) ~ (all_52_6 = all_16_1)
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | REDUCE: (135), (11320) imply:
% 201.86/33.69 | | | | | | | | | | | | | (11327) ~ (all_52_7 = all_16_1)
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | SIMP: (11327) implies:
% 201.86/33.69 | | | | | | | | | | | | | (11328) ~ (all_52_7 = all_16_1)
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | REDUCE: (134), (11320) imply:
% 201.86/33.69 | | | | | | | | | | | | | (11329) ~ (all_52_8 = all_16_1)
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | SIMP: (11329) implies:
% 201.86/33.69 | | | | | | | | | | | | | (11330) ~ (all_52_8 = all_16_1)
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | REDUCE: (11282), (11320) imply:
% 201.86/33.69 | | | | | | | | | | | | | (11331) ~ (all_16_1 = e3)
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | BETA: splitting (76) gives:
% 201.86/33.69 | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | Case 1:
% 201.86/33.69 | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | (11332) ~ (all_30_2 = e2)
% 201.86/33.69 | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | REDUCE: (328), (11332) imply:
% 201.86/33.69 | | | | | | | | | | | | | | (11333) ~ (all_10_2 = e2)
% 201.86/33.69 | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 201.86/33.69 | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | Case 1:
% 201.86/33.69 | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | (11334) all_54_15 = e3
% 201.86/33.69 | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | COMBINE_EQS: (298), (11334) imply:
% 201.86/33.69 | | | | | | | | | | | | | | | (11335) all_10_2 = e3
% 201.86/33.69 | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | REDUCE: (8799), (11335) imply:
% 201.86/33.69 | | | | | | | | | | | | | | | (11336) $false
% 201.86/33.69 | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | CLOSE: (11336) is inconsistent.
% 201.86/33.69 | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | Case 2:
% 201.86/33.69 | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | (11337) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 201.86/33.69 | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | BETA: splitting (11337) gives:
% 201.86/33.69 | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | Case 1:
% 201.86/33.69 | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | | (11338) all_54_15 = e2
% 201.86/33.69 | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (11338) imply:
% 201.86/33.69 | | | | | | | | | | | | | | | | (11339) all_10_2 = e2
% 201.86/33.69 | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | | REDUCE: (11333), (11339) imply:
% 201.86/33.69 | | | | | | | | | | | | | | | | (11340) $false
% 201.86/33.69 | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | | CLOSE: (11340) is inconsistent.
% 201.86/33.69 | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | Case 2:
% 201.86/33.69 | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | | (11341) all_54_15 = e1 | all_54_15 = e0
% 201.86/33.69 | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | | BETA: splitting (11341) gives:
% 201.86/33.69 | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.69 | | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | | | (11342) all_54_15 = e1
% 201.86/33.69 | | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (11342) imply:
% 201.86/33.69 | | | | | | | | | | | | | | | | | (11343) all_10_2 = e1
% 201.86/33.69 | | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (11343) imply:
% 201.86/33.69 | | | | | | | | | | | | | | | | | (11344) all_56_15 = e1
% 201.86/33.69 | | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | | | REDUCE: (394), (11343) imply:
% 201.86/33.69 | | | | | | | | | | | | | | | | | (11345) ~ (all_52_14 = e1)
% 201.86/33.69 | | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 201.86/33.69 | | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | | | Case 1:
% 201.86/33.69 | | | | | | | | | | | | | | | | | |
% 201.86/33.69 | | | | | | | | | | | | | | | | | | (11346) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 201.86/33.69 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 201.86/33.69 | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 201.86/33.69 | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 201.86/33.69 | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 201.86/33.69 | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 201.86/33.69 | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 201.86/33.69 | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 201.86/33.69 | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 201.86/33.69 | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 201.86/33.69 | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 201.86/33.69 | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 201.86/33.69 | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 201.86/33.69 | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 201.86/33.69 | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 201.86/33.69 | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 201.86/33.69 | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 201.86/33.69 | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 201.86/33.69 | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 201.86/33.69 | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 201.86/33.69 | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 201.86/33.69 | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 201.86/33.69 | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 201.86/33.69 | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 201.86/33.69 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 201.86/33.69 | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 201.86/33.69 | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 202.30/33.71 | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.30/33.71 | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 202.30/33.71 | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 202.30/33.71 | | | | | | | | | | | | | | | | | |
% 202.30/33.71 | | | | | | | | | | | | | | | | | | BETA: splitting (11346) gives:
% 202.30/33.71 | | | | | | | | | | | | | | | | | |
% 202.30/33.71 | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.71 | | | | | | | | | | | | | | | | | | |
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (11347) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 202.30/33.71 | | | | | | | | | | | | | | | | | | |
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10621), (11276), (11331), (11347),
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | #1091.
% 202.30/33.71 | | | | | | | | | | | | | | | | | | |
% 202.30/33.71 | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.71 | | | | | | | | | | | | | | | | | | |
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (11348) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.30/33.71 | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 202.30/33.72 | | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | ALPHA: (11348) implies:
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (11349) op(e0, e1) = all_56_11
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (11350) ~ (all_56_15 = e1) | all_56_11 = e0
% 202.30/33.72 | | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8762), (8797), (11344), (11349), (11350),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | #267.
% 202.30/33.72 | | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11351) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 202.30/33.72 | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 202.30/33.72 | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.30/33.72 | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | BETA: splitting (11351) gives:
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.72 | | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (11352) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 202.30/33.72 | | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | ALPHA: (11352) implies:
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (11353) op(e1, e0) = all_56_8
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (11354) ~ (all_56_14 = e0) | all_56_8 = e1
% 202.30/33.72 | | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8765), (11345), (11353), (11354),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | #265.
% 202.30/33.72 | | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.72 | | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (11355) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 202.30/33.72 | | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10619), (10646), (11281), (11355),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.72 | | | | | | | | | | | | | | | | | | | #1080.
% 202.30/33.72 | | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | End of split
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | (11356) all_54_15 = e0
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (11356) imply:
% 202.30/33.72 | | | | | | | | | | | | | | | | | (11357) all_10_2 = e0
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | REDUCE: (358), (11357) imply:
% 202.30/33.72 | | | | | | | | | | | | | | | | | (11358) $false
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | CLOSE: (11358) is inconsistent.
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | End of split
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | End of split
% 202.30/33.72 | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | End of split
% 202.30/33.72 | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | Case 2:
% 202.30/33.72 | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | (11359) all_30_2 = e2
% 202.30/33.72 | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | COMBINE_EQS: (328), (11359) imply:
% 202.30/33.72 | | | | | | | | | | | | | | (11360) all_10_2 = e2
% 202.30/33.72 | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | REDUCE: (373), (11360) imply:
% 202.30/33.72 | | | | | | | | | | | | | | (11361) ~ (all_52_3 = e2)
% 202.30/33.72 | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | REDUCE: (394), (11360) imply:
% 202.30/33.72 | | | | | | | | | | | | | | (11362) ~ (all_52_14 = e2)
% 202.30/33.72 | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | REDUCE: (45), (11360) imply:
% 202.30/33.72 | | | | | | | | | | | | | | (11363) op(e0, e0) = e2
% 202.30/33.72 | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 202.30/33.72 | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | Case 1:
% 202.30/33.72 | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | (11364) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 202.30/33.72 | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.30/33.72 | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | BETA: splitting (11364) gives:
% 202.30/33.72 | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | Case 1:
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | (11365) all_58_1 = e2 & op(e3, e2) = e2
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10624), (11365), (function-axioms) are
% 202.30/33.72 | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | Case 2:
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | (11366) all_58_3 = e2 & op(e2, e2) = e2
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11286), (11366), (function-axioms) are
% 202.30/33.72 | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | End of split
% 202.30/33.72 | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | Case 2:
% 202.30/33.72 | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | (11367) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 202.30/33.72 | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.30/33.72 | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | BETA: splitting (11367) gives:
% 202.30/33.72 | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | Case 1:
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | (11368) all_58_7 = e2 & op(e1, e2) = e2
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | ALPHA: (11368) implies:
% 202.30/33.72 | | | | | | | | | | | | | | | | (11369) all_58_7 = e2
% 202.30/33.72 | | | | | | | | | | | | | | | | (11370) op(e1, e2) = e2
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | (11371) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 202.30/33.72 | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | BETA: splitting (11371) gives:
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11372) all_58_4 = e2 & op(e3, e1) = e2
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | ALPHA: (11372) implies:
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11373) all_58_4 = e2
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (242), (246), (355), (8768), (10627), (11276),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11331), (11373), (function-axioms) are
% 202.30/33.72 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #149.
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11374) all_58_5 = e2 & op(e2, e1) = e2
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | ALPHA: (11374) implies:
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11375) all_58_5 = e2
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11376) op(e2, e1) = e2
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (45), (51), (123),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (128), (140), (143), (158), (159), (162), (163),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (164), (165), (169), (190), (191), (192), (202),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (203), (214), (216), (219), (220), (222), (224),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (226), (228), (230), (232), (234), (236), (237),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (245), (246), (256), (257), (281), (355), (356),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (358), (8765), (8766), (8768), (8769), (8780),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (8790), (8791), (8792), (8793), (8794), (8797),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (8799), (10619), (10621), (10627), (10642),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11276), (11281), (11283), (11284), (11285),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11286), (11315), (11324), (11326), (11328),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11330), (11331), (11361), (11363), (11369),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11370), (11375), (11376), (function-axioms) are
% 202.30/33.72 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #137.
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | End of split
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | (11377) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 202.30/33.72 | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (216),
% 202.30/33.72 | | | | | | | | | | | | | | | | | (217), (219), (358), (8780), (8799), (11283),
% 202.30/33.72 | | | | | | | | | | | | | | | | | (11363), (11377), (function-axioms) are
% 202.30/33.72 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #225.
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | End of split
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | Case 2:
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | (11378) all_58_13 = e2 & op(e0, e2) = e2
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | ALPHA: (11378) implies:
% 202.30/33.72 | | | | | | | | | | | | | | | | (11379) all_58_13 = e2
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 202.30/33.72 | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | (11380) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 202.30/33.72 | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | BETA: splitting (11380) gives:
% 202.30/33.72 | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11381) all_58_4 = e2 & op(e3, e1) = e2
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | ALPHA: (11381) implies:
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11382) all_58_4 = e2
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (242), (246), (355), (8768), (10627), (11276),
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11331), (11382), (function-axioms) are
% 202.30/33.72 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #149.
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11383) all_58_5 = e2 & op(e2, e1) = e2
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | ALPHA: (11383) implies:
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11384) all_58_5 = e2
% 202.30/33.72 | | | | | | | | | | | | | | | | | | (11385) op(e2, e1) = e2
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 202.30/33.72 | | | | | | | | | | | | | | | | | |
% 202.30/33.72 | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.72 | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | (11386) all_58_15 = e0 & op(e0, e0) = e0
% 202.30/33.73 | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (11386), (function-axioms) are
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 202.30/33.73 | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | (11387) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 202.30/33.73 | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | ALPHA: (11387) implies:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | (11388) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | e1) = e0)
% 202.30/33.73 | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (11388) gives:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | (11389) all_58_12 = e0 & op(e0, e3) = e0
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (11389) implies:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | (11390) all_58_12 = e0
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | (11391) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11391) gives:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (11392) all_58_12 = e3 & op(e0, e3) = e3
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11390), (11392) are inconsistent by
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1096.
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (11393) all_58_13 = e3 & op(e0, e2) = e3
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11393) implies:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (11394) op(e0, e2) = e3
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11283), (11394), (function-axioms) are
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | (11395) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11395) gives:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (11396) all_58_14 = e3 & op(e0, e1) = e3
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11396) implies:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (11397) all_58_14 = e3
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (11398) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (45), (51), (123),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (128), (140), (143), (158), (159), (162), (163),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (190), (191), (192), (202),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (203), (214), (216), (219), (220), (222), (224),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (230), (232), (234), (236), (237),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (256), (257), (281), (355), (356),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (358), (8765), (8766), (8768), (8769), (8780),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (8790), (8791), (8792), (8793), (8794), (8797),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (8799), (10619), (10621), (10623), (10627),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (10642), (11276), (11281), (11283), (11284),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (11285), (11286), (11315), (11324), (11326),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (11328), (11330), (11331), (11361), (11363),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (11384), (11385), (11398), (function-axioms) are
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #136.
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (11399) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (227), (228),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (230), (11362), (11384), (11397), (11399),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | | #155.
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (11400) all_58_15 = e3 & op(e0, e0) = e3
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8799), (11400), (function-axioms) are
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | (11401) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11401) gives:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | (11402) all_58_13 = e0 & op(e0, e2) = e0
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11379), (11402) are inconsistent by
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | sub-proof #1547.
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | (11403) all_58_14 = e0 & op(e0, e1) = e0
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11403) implies:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | (11404) all_58_14 = e0
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (11405) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (45), (51), (123),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (128), (140), (143), (158), (159), (162), (163),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (190), (191), (192), (202),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (203), (214), (216), (219), (220), (222), (224),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (226), (228), (230), (232), (234), (236), (237),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (243), (244),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (245), (246), (256), (257), (281), (355), (356),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (358), (8765), (8766), (8768), (8769), (8780),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (8790), (8791), (8792), (8793), (8794), (8797),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (8799), (10619), (10621), (10623), (10627),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (10642), (11276), (11281), (11283), (11284),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (11285), (11286), (11315), (11324), (11326),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (11328), (11330), (11331), (11361), (11363),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (11384), (11385), (11405), (function-axioms) are
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #136.
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (11406) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (160), (228), (230),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (11362), (11384), (11404), (11406),
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | | #135.
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.73 | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | (11407) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 202.30/33.73 | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 202.30/33.73 | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (217),
% 202.30/33.73 | | | | | | | | | | | | | | | | | (219), (358), (8780), (8799), (11363), (11379),
% 202.30/33.73 | | | | | | | | | | | | | | | | | (11407), (function-axioms) are inconsistent by
% 202.30/33.73 | | | | | | | | | | | | | | | | | sub-proof #165.
% 202.30/33.73 | | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | Case 2:
% 202.30/33.73 | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | (11408) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 202.30/33.73 | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.30/33.73 | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | BETA: splitting (11408) gives:
% 202.30/33.73 | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | Case 1:
% 202.30/33.73 | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | (11409) all_58_7 = e3 & op(e1, e2) = e3
% 202.30/33.73 | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | ALPHA: (11409) implies:
% 202.30/33.73 | | | | | | | | | | | | (11410) all_58_7 = e3
% 202.30/33.73 | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (162), (169),
% 202.30/33.73 | | | | | | | | | | | | (170), (235), (236), (237), (240), (242), (246),
% 202.30/33.73 | | | | | | | | | | | | (355), (8767), (8768), (10624), (10627), (11286),
% 202.30/33.73 | | | | | | | | | | | | (11410), (function-axioms) are inconsistent by
% 202.30/33.73 | | | | | | | | | | | | sub-proof #134.
% 202.30/33.73 | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | Case 2:
% 202.30/33.73 | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | (11411) all_58_13 = e3 & op(e0, e2) = e3
% 202.30/33.73 | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | ALPHA: (11411) implies:
% 202.30/33.73 | | | | | | | | | | | | (11412) op(e0, e2) = e3
% 202.30/33.73 | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | | REF_CLOSE: (158), (11283), (11412), (function-axioms) are
% 202.30/33.73 | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 202.30/33.73 | | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | | |
% 202.30/33.73 | | | | | | | | | End of split
% 202.30/33.73 | | | | | | | | |
% 202.30/33.73 | | | | | | | | End of split
% 202.30/33.73 | | | | | | | |
% 202.30/33.73 | | | | | | | End of split
% 202.30/33.73 | | | | | | |
% 202.30/33.73 | | | | | | Case 2:
% 202.30/33.73 | | | | | | |
% 202.30/33.73 | | | | | | | (11413) all_10_2 = e3
% 202.30/33.73 | | | | | | | (11414) op(e3, e0) = all_10_1 & $i(all_10_1) & ( ~ (all_10_1 =
% 202.30/33.73 | | | | | | | e2) | ( ~ (all_10_0 = e1) & op(e2, e0) = all_10_0 &
% 202.30/33.73 | | | | | | | $i(all_10_0)))
% 202.30/33.73 | | | | | | |
% 202.30/33.73 | | | | | | | ALPHA: (11414) implies:
% 202.30/33.73 | | | | | | | (11415) op(e3, e0) = all_10_1
% 202.30/33.73 | | | | | | |
% 202.30/33.73 | | | | | | | COMBINE_EQS: (337), (11413) imply:
% 202.30/33.73 | | | | | | | (11416) all_24_2 = e3
% 202.30/33.73 | | | | | | |
% 202.30/33.73 | | | | | | | COMBINE_EQS: (254), (11413) imply:
% 202.30/33.73 | | | | | | | (11417) all_56_15 = e3
% 202.30/33.73 | | | | | | |
% 202.30/33.73 | | | | | | | REDUCE: (373), (11413) imply:
% 202.30/33.73 | | | | | | | (11418) ~ (all_52_3 = e3)
% 202.30/33.73 | | | | | | |
% 202.30/33.73 | | | | | | | REDUCE: (384), (11413) imply:
% 202.30/33.73 | | | | | | | (11419) ~ (all_52_7 = e3)
% 202.30/33.73 | | | | | | |
% 202.30/33.73 | | | | | | | REDUCE: (392), (11413) imply:
% 202.30/33.73 | | | | | | | (11420) ~ (all_52_12 = e3)
% 202.30/33.73 | | | | | | |
% 202.30/33.73 | | | | | | | REDUCE: (393), (11413) imply:
% 202.30/33.73 | | | | | | | (11421) ~ (all_52_13 = e3)
% 202.30/33.73 | | | | | | |
% 202.30/33.73 | | | | | | | REDUCE: (394), (11413) imply:
% 202.30/33.73 | | | | | | | (11422) ~ (all_52_14 = e3)
% 202.30/33.73 | | | | | | |
% 202.30/33.73 | | | | | | | REDUCE: (8796), (11413) imply:
% 202.30/33.73 | | | | | | | (11423) ~ (all_4_1 = e3)
% 202.30/33.73 | | | | | | |
% 202.30/33.73 | | | | | | | SIMP: (11423) implies:
% 202.30/33.73 | | | | | | | (11424) ~ (all_4_1 = e3)
% 202.30/33.73 | | | | | | |
% 202.30/33.73 | | | | | | | BETA: splitting (67) gives:
% 202.30/33.73 | | | | | | |
% 202.30/33.73 | | | | | | | Case 1:
% 202.30/33.73 | | | | | | | |
% 202.30/33.73 | | | | | | | | (11425) ~ (all_24_2 = e3)
% 202.30/33.74 | | | | | | | |
% 202.30/33.74 | | | | | | | | REDUCE: (11416), (11425) imply:
% 202.30/33.74 | | | | | | | | (11426) $false
% 202.30/33.74 | | | | | | | |
% 202.30/33.74 | | | | | | | | CLOSE: (11426) is inconsistent.
% 202.30/33.74 | | | | | | | |
% 202.30/33.74 | | | | | | | Case 2:
% 202.30/33.74 | | | | | | | |
% 202.30/33.74 | | | | | | | | (11427) op(e3, e0) = all_24_1 & $i(all_24_1) & ( ~ (all_24_1
% 202.30/33.74 | | | | | | | | = e1) | ( ~ (all_24_0 = e2) & op(e1, e0) =
% 202.30/33.74 | | | | | | | | all_24_0 & $i(all_24_0)))
% 202.30/33.74 | | | | | | | |
% 202.30/33.74 | | | | | | | | ALPHA: (11427) implies:
% 202.30/33.74 | | | | | | | | (11428) op(e3, e0) = all_24_1
% 202.30/33.74 | | | | | | | |
% 202.30/33.74 | | | | | | | | BETA: splitting (219) gives:
% 202.30/33.74 | | | | | | | |
% 202.30/33.74 | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | |
% 202.30/33.74 | | | | | | | | | (11429) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 202.30/33.74 | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.30/33.74 | | | | | | | | |
% 202.30/33.74 | | | | | | | | | REF_CLOSE: (158), (159), (11418), (11419), (11429),
% 202.30/33.74 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.74 | | | | | | | | | #666.
% 202.30/33.74 | | | | | | | | |
% 202.30/33.74 | | | | | | | | Case 2:
% 202.30/33.74 | | | | | | | | |
% 202.30/33.74 | | | | | | | | | (11430) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 202.30/33.74 | | | | | | | | | e3 & op(e0, e0) = e3)
% 202.30/33.74 | | | | | | | | |
% 202.30/33.74 | | | | | | | | | BETA: splitting (11430) gives:
% 202.30/33.74 | | | | | | | | |
% 202.30/33.74 | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | (11431) all_58_14 = e3 & op(e0, e1) = e3
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | REF_CLOSE: (8762), (11424), (11431), (function-axioms) are
% 202.30/33.74 | | | | | | | | | | inconsistent by sub-proof #133.
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | Case 2:
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | (11432) all_58_15 = e3 & op(e0, e0) = e3
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | ALPHA: (11432) implies:
% 202.30/33.74 | | | | | | | | | | (11433) all_58_15 = e3
% 202.30/33.74 | | | | | | | | | | (11434) op(e0, e0) = e3
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 202.30/33.74 | | | | | | | | | | all_10_1, e0, e3, simplifying with (168), (11415)
% 202.30/33.74 | | | | | | | | | | gives:
% 202.30/33.74 | | | | | | | | | | (11435) all_52_12 = all_10_1
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 202.30/33.74 | | | | | | | | | | all_24_1, e0, e3, simplifying with (168), (11428)
% 202.30/33.74 | | | | | | | | | | gives:
% 202.30/33.74 | | | | | | | | | | (11436) all_52_12 = all_24_1
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | COMBINE_EQS: (11435), (11436) imply:
% 202.30/33.74 | | | | | | | | | | (11437) all_24_1 = all_10_1
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | SIMP: (11437) implies:
% 202.30/33.74 | | | | | | | | | | (11438) all_24_1 = all_10_1
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | REDUCE: (133), (11435) imply:
% 202.30/33.74 | | | | | | | | | | (11439) ~ (all_52_4 = all_10_1)
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | REDUCE: (120), (11435) imply:
% 202.30/33.74 | | | | | | | | | | (11440) ~ (all_52_8 = all_10_1)
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | REDUCE: (113), (11435) imply:
% 202.30/33.74 | | | | | | | | | | (11441) ~ (all_52_13 = all_10_1)
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | SIMP: (11441) implies:
% 202.30/33.74 | | | | | | | | | | (11442) ~ (all_52_13 = all_10_1)
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | REDUCE: (370), (11435) imply:
% 202.30/33.74 | | | | | | | | | | (11443) ~ (all_14_2 = all_10_1)
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | SIMP: (11443) implies:
% 202.30/33.74 | | | | | | | | | | (11444) ~ (all_14_2 = all_10_1)
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | REDUCE: (11420), (11435) imply:
% 202.30/33.74 | | | | | | | | | | (11445) ~ (all_10_1 = e3)
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | BETA: splitting (52) gives:
% 202.30/33.74 | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | (11446) ~ (all_14_2 = e2)
% 202.30/33.74 | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | BETA: splitting (55) gives:
% 202.30/33.74 | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | (11447) ~ (all_16_2 = e3)
% 202.30/33.74 | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | REDUCE: (345), (11447) imply:
% 202.30/33.74 | | | | | | | | | | | | (11448) ~ (all_6_2 = e3)
% 202.30/33.74 | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | BETA: splitting (199) gives:
% 202.30/33.74 | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | (11449) all_54_5 = e3
% 202.30/33.74 | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | COMBINE_EQS: (275), (11449) imply:
% 202.30/33.74 | | | | | | | | | | | | | (11450) all_6_2 = e3
% 202.30/33.74 | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | REDUCE: (11448), (11450) imply:
% 202.30/33.74 | | | | | | | | | | | | | (11451) $false
% 202.30/33.74 | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | CLOSE: (11451) is inconsistent.
% 202.30/33.74 | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | Case 2:
% 202.30/33.74 | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | (11452) ~ (all_54_5 = e3)
% 202.30/33.74 | | | | | | | | | | | | | (11453) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 202.30/33.74 | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | BETA: splitting (11453) gives:
% 202.30/33.74 | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | (11454) all_54_5 = e2
% 202.30/33.74 | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | COMBINE_EQS: (275), (11454) imply:
% 202.30/33.74 | | | | | | | | | | | | | | (11455) all_6_2 = e2
% 202.30/33.74 | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | REDUCE: (356), (11455) imply:
% 202.30/33.74 | | | | | | | | | | | | | | (11456) $false
% 202.30/33.74 | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | CLOSE: (11456) is inconsistent.
% 202.30/33.74 | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | Case 2:
% 202.30/33.74 | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | (11457) ~ (all_54_5 = e2)
% 202.30/33.74 | | | | | | | | | | | | | | (11458) all_54_5 = e1 | all_54_5 = e0
% 202.30/33.74 | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | BETA: splitting (11458) gives:
% 202.30/33.74 | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | (11459) all_54_5 = e1
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | COMBINE_EQS: (275), (11459) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | (11460) all_6_2 = e1
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | REDUCE: (8798), (11460) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | (11461) $false
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | CLOSE: (11461) is inconsistent.
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | Case 2:
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | (11462) all_54_5 = e0
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | COMBINE_EQS: (275), (11462) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | (11463) all_6_2 = e0
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | COMBINE_EQS: (348), (11463) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | (11464) all_20_2 = e0
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | COMBINE_EQS: (310), (11463) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | (11465) all_26_2 = e0
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | COMBINE_EQS: (354), (11463) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | (11466) all_56_13 = e0
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | REDUCE: (371), (11463) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | (11467) ~ (all_52_1 = e0)
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | REDUCE: (378), (11463) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | (11468) ~ (all_52_7 = e0)
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | REDUCE: (11448), (11463) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | (11469) ~ (e3 = e0)
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | REDUCE: (356), (11463) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | (11470) ~ (e2 = e0)
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | REDUCE: (39), (11463) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | (11471) op(e2, e2) = e0
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 202.30/33.74 | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | (11472) ~ (all_20_2 = e0)
% 202.30/33.74 | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | REDUCE: (11464), (11472) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | | (11473) $false
% 202.30/33.74 | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | CLOSE: (11473) is inconsistent.
% 202.30/33.74 | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | Case 2:
% 202.30/33.74 | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | (11474) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 202.30/33.74 | | | | | | | | | | | | | | | | (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 202.30/33.74 | | | | | | | | | | | | | | | | e2) = all_20_0 & $i(all_20_0)))
% 202.30/33.74 | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | ALPHA: (11474) implies:
% 202.30/33.74 | | | | | | | | | | | | | | | | (11475) op(e0, e2) = all_20_1
% 202.30/33.74 | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 202.30/33.74 | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | (11476) ~ (all_26_2 = e0)
% 202.30/33.74 | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | REDUCE: (11465), (11476) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | | | (11477) $false
% 202.30/33.74 | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | CLOSE: (11477) is inconsistent.
% 202.30/33.74 | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.74 | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | (11478) op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~
% 202.30/33.74 | | | | | | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 202.30/33.74 | | | | | | | | | | | | | | | | | e2) = all_26_0 & $i(all_26_0)))
% 202.30/33.74 | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | ALPHA: (11478) implies:
% 202.30/33.74 | | | | | | | | | | | | | | | | | (11479) op(e0, e2) = all_26_1
% 202.30/33.74 | | | | | | | | | | | | | | | | | (11480) ~ (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 202.30/33.74 | | | | | | | | | | | | | | | | | e2) = all_26_0 & $i(all_26_0))
% 202.30/33.74 | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 202.30/33.74 | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | (11481) all_58_15 = e0 & op(e0, e0) = e0
% 202.30/33.74 | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (11481), (function-axioms) are
% 202.30/33.74 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 202.30/33.74 | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.74 | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | (11482) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.30/33.74 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 202.30/33.74 | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 202.30/33.74 | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 202.30/33.74 | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 202.30/33.74 | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | ALPHA: (11482) implies:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | (11483) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 202.30/33.74 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 202.30/33.74 | | | | | | | | | | | | | | | | | | e1) = e0)
% 202.30/33.74 | | | | | | | | | | | | | | | | | | (11484) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.30/33.74 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 202.30/33.74 | | | | | | | | | | | | | | | | | | e0) = e0)
% 202.30/33.74 | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | BETA: splitting (11484) gives:
% 202.30/33.74 | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | (11485) all_58_9 = e0 & op(e3, e0) = e0
% 202.30/33.74 | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | ALPHA: (11485) implies:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | (11486) all_58_9 = e0
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | (11487) op(e3, e0) = e0
% 202.30/33.74 | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | (11488) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11488) gives:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11489) all_58_2 = e0 & op(e2, e3) = e0
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (11467), (11489), (function-axioms) are
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #273.
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11490) all_58_3 = e0 & op(e2, e2) = e0
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11490) implies:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11491) all_58_3 = e0
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | all_20_1, e2, e0, simplifying with (158), (11475)
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | gives:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11492) all_52_7 = all_20_1
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | all_26_1, e2, e0, simplifying with (158), (11479)
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | gives:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11493) all_52_7 = all_26_1
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1, e0,
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (11415), (11487) gives:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11494) all_10_1 = e0
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11492), (11493) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11495) all_26_1 = all_20_1
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | SIMP: (11495) implies:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11496) all_26_1 = all_20_1
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (11492) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11497) all_54_13 = all_20_1
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (11492) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11498) ~ (all_52_3 = all_20_1)
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (11492) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11499) ~ (all_52_4 = all_20_1)
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11439), (11494) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11500) ~ (all_52_4 = e0)
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11419), (11492) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11501) ~ (all_20_1 = e3)
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11468), (11492) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11502) ~ (all_20_1 = e0)
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11444), (11494) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | (11503) ~ (all_14_2 = e0)
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | (11504) all_54_0 = e3
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (11504) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | (11505) all_14_2 = e3
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (11505) imply:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | (11506) $false
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11506) is inconsistent.
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | (11507) ~ (all_54_0 = e3)
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | (11508) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | | (11509) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11509) gives:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | | | (11510) all_58_0 = e0 & op(e3, e3) = e0
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11510) implies:
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | | | (11511) op(e3, e3) = e0
% 202.30/33.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (242), (244),
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | (246), (11415), (11420), (11428), (11486),
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | (11511), (function-axioms) are inconsistent by
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132.
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | (11512) all_58_2 = e0 & op(e2, e3) = e0
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (11467), (11512), (function-axioms) are
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #273.
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | (11513) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11513) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | (11514) all_58_6 = e0 & op(e1, e3) = e0
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11514) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | (11515) op(e1, e3) = e0
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8766), (11515), (function-axioms) are
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | (11516) all_58_12 = e0 & op(e0, e3) = e0
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11516) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | (11517) all_58_12 = e0
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11508) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | (11518) all_54_0 = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (11518) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | (11519) all_14_2 = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11519) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | (11520) all_14_2 = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11446), (11520) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | (11521) $false
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11521) is inconsistent.
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | (11522) ~ (all_54_0 = e2)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | (11523) all_54_0 = e1 | all_54_0 = e0
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11523) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (11524) all_54_0 = e1
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (11524) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (11525) all_14_2 = e1
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11525) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (11526) all_14_2 = e1
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (11526) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (11527) all_28_2 = e1
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (11526) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (11528) all_36_2 = e1
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (11526) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (11529) all_56_12 = e1
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (11526) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (11530) ~ (all_52_1 = e1)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (11526) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (11531) ~ (all_52_2 = e1)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (11526) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (11532) ~ (all_52_3 = e1)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (11526) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (11533) ~ (all_52_4 = e1)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (11526) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (11534) ~ (all_52_8 = e1)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (11526) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (11535) ~ (e3 = e1)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11446), (11526) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (11536) ~ (e2 = e1)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (11526) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (11537) op(e3, e3) = e1
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11538) ~ (all_28_2 = e1)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11527), (11538) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11539) $false
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11539) is inconsistent.
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11540) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0)))
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11540) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11541) op(e1, e3) = all_28_1
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11542) ~ (all_36_2 = e1)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11528), (11542) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11543) $false
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11543) is inconsistent.
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11544) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11544) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11545) op(e1, e3) = all_36_1
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11483) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11516) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11546) op(e0, e3) = e0
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (11546) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11547) all_52_3 = e0
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e3, e1, simplifying with (163), (11541)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11548) all_52_2 = all_28_1
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_36_1, e3, e1, simplifying with (163), (11545)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11549) all_52_2 = all_36_1
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11548), (11549) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11550) all_36_1 = all_28_1
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11531), (11548) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11551) ~ (all_28_1 = e1)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11498), (11547) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11552) ~ (all_20_1 = e0)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8791), (11547) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11553) ~ (all_4_1 = e0)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11554) all_54_13 = e3
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11497), (11554) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11555) all_20_1 = e3
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11501), (11555) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11556) $false
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11556) is inconsistent.
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11557) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11558) all_54_2 = e3
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (11558) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11559) all_52_8 = e3
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11559) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11560) all_52_8 = e3
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (11560) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11561) ~ (all_52_4 = e3)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (11560) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11562) ~ (all_52_9 = e3)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11562) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11563) ~ (all_52_9 = e3)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11564) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11564) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11565) all_58_1 = e3 & op(e3, e2) = e3
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11565) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11566) all_58_1 = e3
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11567) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (11537), (11566), (11567),
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1608.
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11568) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11568) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11569) all_58_4 = e2 & op(e3, e1) = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11569) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11570) all_58_4 = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11571) all_54_1 = e3
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (11561), (11571) are inconsistent by
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1709.
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11572) ~ (all_54_1 = e3)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11573) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11573) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11574) all_54_1 = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (11574) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11575) all_52_4 = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11575) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11576) all_52_4 = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11576) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11577) ~ (all_52_6 = e2)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11577) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11578) ~ (all_52_6 = e2)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11561), (11576) imply:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11579) ~ (e3 = e2)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11580) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11580) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11581) all_58_1 = e2 & op(e3, e2) = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11566), (11581) are inconsistent by
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1918.
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11582) all_58_3 = e2 & op(e2, e2) = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11471), (11582), (function-axioms) are
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11583) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11583) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11584) all_58_7 = e2 & op(e1, e2) = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11584) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11585) op(e1, e2) = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11578), (11585), (function-axioms) are
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1032.
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11586) all_58_13 = e2 & op(e0, e2) = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11586) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11587) all_58_13 = e2
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11588) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11588) gives:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11589) all_58_4 = e3 & op(e3, e1) = e3
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11589) implies:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11590) all_58_4 = e3
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (236), (238), (240),
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (11471), (11491), (11537), (11566),
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11587), (11590), (function-axioms) are
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #864.
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11591) all_58_5 = e3 & op(e2, e1) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11591) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11592) op(e2, e1) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11563), (11592), (function-axioms) are
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11593) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11593) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11594) all_58_8 = e3 & op(e1, e1) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (246), (8780), (11415),
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11420), (11428), (11537), (11566), (11570),
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11594), (function-axioms) are inconsistent by
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #130.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11595) all_58_14 = e3 & op(e0, e1) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8762), (11424), (11595), (function-axioms) are
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11596) all_54_1 = e1 | all_54_1 = e0
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (11500), (11533), (11596) are inconsistent
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1776.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11597) all_58_9 = e2 & op(e3, e0) = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11597) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11598) all_58_9 = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11486), (11598) are inconsistent by
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1646.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11599) all_58_3 = e3 & op(e2, e2) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11599) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11600) op(e2, e2) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11471), (11600), (function-axioms) are
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11601) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11601) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11602) all_58_7 = e3 & op(e1, e2) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11602) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11603) op(e1, e2) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11604) all_54_1 = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (11561), (11604) are inconsistent by
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1709.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11605) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11605) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11606) all_54_1 = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (11606) imply:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11607) all_52_4 = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11607) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11608) all_52_4 = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11499), (11608) imply:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11609) ~ (all_20_1 = e2)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11609) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11610) ~ (all_20_1 = e2)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11557) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11611) all_54_13 = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11497), (11610), (11611) are inconsistent by
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1708.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11612) all_54_13 = e1 | all_54_13 = e0
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11612) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11613) all_54_13 = e1
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11497), (11613) imply:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11614) all_20_1 = e1
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11614) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11615) all_20_1 = e1
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11496), (11615) imply:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11616) all_26_1 = e1
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11480) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11617) ~ (all_26_1 = e1)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11616), (11617) imply:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11618) $false
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11618) is inconsistent.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11619) ~ (all_26_0 = e3) & op(e1, e2) = all_26_0 &
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_0)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11619) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11620) ~ (all_26_0 = e3)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11621) op(e1, e2) = all_26_0
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_26_0,
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (11603), (11621) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11622) all_26_0 = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11620), (11622) imply:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11623) $false
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11623) is inconsistent.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11624) all_54_13 = e0
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11497), (11502), (11624) are inconsistent by
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1781.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11625) all_54_1 = e1 | all_54_1 = e0
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (11500), (11533), (11625) are inconsistent
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1776.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11626) all_58_13 = e3 & op(e0, e2) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11626) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11627) op(e0, e2) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11419), (11627), (function-axioms) are
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11628) ~ (all_54_2 = e3)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11629) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (281), (11628) imply:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11630) ~ (all_52_8 = e3)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11631) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11631) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11632) all_58_0 = e3 & op(e3, e3) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11537), (11632), (function-axioms) are
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11633) all_58_1 = e3 & op(e3, e2) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11633) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11634) all_58_1 = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11635) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (11537), (11634), (11635),
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1608.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11636) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11636) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11637) all_58_4 = e2 & op(e3, e1) = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11637) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11638) all_58_4 = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11639) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11639) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11640) all_58_4 = e3 & op(e3, e1) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11640) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11641) all_58_4 = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (242), (244),
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11537), (11634), (11641), (function-axioms) are
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #884.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11642) all_58_5 = e3 & op(e2, e1) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11642) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11643) op(e2, e1) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11629) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11644) all_54_2 = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (11644) imply:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11645) all_52_8 = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11645) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11646) all_52_8 = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (11646) imply:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11647) ~ (all_4_1 = e2)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11647) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11648) ~ (all_4_1 = e2)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11630), (11646) imply:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11649) ~ (e3 = e2)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (11646) imply:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11650) op(e3, e1) = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11651) all_54_14 = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (11651) imply:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11652) all_4_1 = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11424), (11652) imply:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11653) $false
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11653) is inconsistent.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11654) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11655) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11655) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11656) all_58_12 = e2 & op(e0, e3) = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11656) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11657) all_58_12 = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11517), (11657) are inconsistent by
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1106.
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11658) all_58_13 = e2 & op(e0, e2) = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11658) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11659) all_58_13 = e2
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11660) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11660) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11661) all_58_6 = e3 & op(e1, e3) = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11661) implies:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11662) all_58_6 = e3
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11663) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11663) gives:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11664) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11664) implies:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11665) op(e0, e2) = all_56_10
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11666) all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3)
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3))
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11667) all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3)
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11668) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11668) gives:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11669) all_58_0 = e2 & op(e3, e3) = e2
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11669) implies:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11670) op(e3, e3) = e2
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (51), (242), (246),
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (11486), (11638), (11670),
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #181.
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11671) all_58_2 = e2 & op(e2, e3) = e2
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11671) implies:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11672) op(e2, e3) = e2
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (246), (11415), (11420),
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11428), (11466), (11537), (11634), (11638),
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11666), (11672), (function-axioms) are
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #129.
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11673) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11673) gives:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11674) all_58_6 = e2 & op(e1, e3) = e2
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (236), (238), (11471),
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11491), (11634), (11659), (11662), (11674),
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #128.
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11675) all_58_12 = e2 & op(e0, e3) = e2
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11675) implies:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11676) op(e0, e3) = e2
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11419), (11665), (11667), (11676),
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #664.
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11677) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11677) implies:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11678) op(e3, e1) = all_56_1
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11679) all_56_1 = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11680) ~ (all_56_12 = e1) | all_56_1 = e3
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11529), (11650), (11678), (11679), (11680),
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #127.
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11681) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11681) gives:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11682) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11682) implies:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11683) op(e2, e0) = all_56_5
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11684) all_56_15 = e1 | ( ~ (all_56_11 = e0) & op(e0, e1)
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11685) ~ (all_56_13 = e0) | all_56_5 = e2
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11686) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11686) gives:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11687) all_58_0 = e2 & op(e3, e3) = e2
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11687) implies:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11688) op(e3, e3) = e2
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (51), (242), (246),
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (11486), (11638), (11688),
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #181.
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11689) all_58_2 = e2 & op(e2, e3) = e2
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11689) implies:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11690) op(e2, e3) = e2
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11691) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11691) gives:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11692) all_58_2 = e1 & op(e2, e3) = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11692) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11693) op(e2, e3) = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11690), (11693), (function-axioms) are
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11694) all_58_3 = e1 & op(e2, e2) = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11471), (11694), (function-axioms) are
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11695) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11695) gives:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11696) all_58_5 = e1 & op(e2, e1) = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11696) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11697) op(e2, e1) = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8790), (8794), (8797), (11648), (11654),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11697), (function-axioms) are inconsistent by
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #189.
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11698) all_58_10 = e1 & op(e2, e0) = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11698) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11699) op(e2, e0) = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11466), (11683), (11685), (11699),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1045.
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11700) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11700) gives:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11701) all_58_6 = e2 & op(e1, e3) = e2
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (236), (238), (11471),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11491), (11634), (11659), (11662), (11701),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #128.
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11702) all_58_12 = e2 & op(e0, e3) = e2
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11702) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11703) all_58_12 = e2
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11483) gives:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11517), (11703) are inconsistent by
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1106.
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11704) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (11417), (11659), (11684), (11704),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #280.
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11705) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11705) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11706) op(e2, e3) = all_56_3
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11707) all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (11530), (11643), (11706), (11707),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #291.
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11708) all_58_7 = e3 & op(e1, e2) = e3
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11708) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11709) all_58_7 = e3
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11710) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (244), (246),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11471), (11537), (11710), (function-axioms) are
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11711) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11711) gives:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11712) all_58_7 = e1 & op(e1, e2) = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11712) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11713) all_58_7 = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11709), (11713) imply:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11714) e3 = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11714) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11715) e3 = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11634), (11715) imply:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11716) all_58_1 = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (244), (246),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11537), (11716), (function-axioms) are
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #286.
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11717) all_58_13 = e1 & op(e0, e2) = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11717) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11718) all_58_13 = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11659), (11718) imply:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11719) e2 = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11719) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11720) e2 = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11638), (11720) imply:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11721) all_58_4 = e1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (11486), (11537), (11634),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11721), (function-axioms) are inconsistent by
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1607.
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11722) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (160), (168), (246), (8780),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11415), (11420), (11422), (11428), (11537),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11634), (11638), (11722), (function-axioms) are
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #126.
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11723) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11723) gives:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11724) all_58_14 = e2 & op(e0, e1) = e2
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11724) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11725) all_58_14 = e2
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11726) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11726) gives:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11727) all_58_6 = e3 & op(e1, e3) = e3
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11727) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11728) all_58_6 = e3
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11729) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11729) gives:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11730) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11730) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11731) op(e0, e2) = all_56_10
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11732) all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3)
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3))
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11733) ~ (all_56_15 = e2) | all_56_10 = e0
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11734) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11734) gives:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11735) all_58_0 = e2 & op(e3, e3) = e2
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11735) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11736) op(e3, e3) = e2
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (51), (242), (246),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (11486), (11638), (11736),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #181.
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11737) all_58_2 = e2 & op(e2, e3) = e2
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11737) implies:
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11738) op(e2, e3) = e2
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (246), (11415), (11420),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11428), (11466), (11537), (11634), (11638),
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11732), (11738), (function-axioms) are
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #129.
% 202.30/33.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11739) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11739) gives:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11740) all_58_6 = e2 & op(e1, e3) = e2
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11740) implies:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11741) all_58_6 = e2
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11728), (11741) imply:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11742) e3 = e2
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11417), (11742) imply:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11743) all_56_15 = e2
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11475), (11502), (11731), (11733), (11743),
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1427.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11744) all_58_12 = e2 & op(e0, e3) = e2
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11744) implies:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11745) all_58_12 = e2
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (45), (216), (217),
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (358), (11433), (11434), (11725), (11745),
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #365.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11746) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11746) implies:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11747) op(e3, e1) = all_56_1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11748) all_56_1 = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11749) ~ (all_56_12 = e1) | all_56_1 = e3
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11529), (11650), (11747), (11748), (11749),
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #127.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11750) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11750) gives:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11751) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11751) implies:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11752) op(e3, e0) = all_56_2
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11753) ~ (all_56_12 = e0) | all_56_2 = e3
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11754) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (165), (244), (8790), (8794),
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797), (11486), (11537), (11634), (11648),
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11654), (11754), (function-axioms) are
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11755) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11755) gives:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11756) all_58_8 = e1 & op(e1, e1) = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11756) implies:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11757) all_58_8 = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (11757) imply:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11758) e1 = e0
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11758) implies:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11759) e1 = e0
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11529), (11759) imply:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11760) all_56_12 = e0
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11415), (11420), (11428), (11752),
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11753), (11760), (function-axioms) are
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #501.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11761) all_58_14 = e1 & op(e0, e1) = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (11486), (11537), (11634),
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11638), (11725), (11761), (function-axioms) are
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #124.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11762) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11762) implies:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11763) op(e2, e3) = all_56_3
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11764) all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (11530), (11643), (11763), (11764),
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #291.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11765) all_58_7 = e3 & op(e1, e2) = e3
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11765) implies:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11766) all_58_7 = e3
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11767) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11767) gives:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11768) all_58_12 = e1 & op(e0, e3) = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (239), (243), (245),
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11537), (11768), (function-axioms) are
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #122.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11769) all_58_13 = e1 & op(e0, e2) = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11769) implies:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11770) all_58_13 = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11771) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (165), (244), (8790), (8794),
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797), (11486), (11537), (11634), (11648),
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11654), (11771), (function-axioms) are
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11772) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11772) gives:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11773) all_58_8 = e1 & op(e1, e1) = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11773) implies:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11774) all_58_8 = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (11774) imply:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11775) e1 = e0
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11770), (11775) imply:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11776) all_58_13 = e0
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11777) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (11491), (11634), (11777) are
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1066.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11778) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11778) gives:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11779) all_58_7 = e2 & op(e1, e2) = e2
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11766), (11779) are inconsistent by
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1770.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11780) all_58_13 = e2 & op(e0, e2) = e2
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11780) implies:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11781) all_58_13 = e2
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11776), (11781) are inconsistent by
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1372.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11782) all_58_14 = e1 & op(e0, e1) = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (11486), (11537), (11634),
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11638), (11725), (11782), (function-axioms) are
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #124.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11783) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11783) gives:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11784) all_58_14 = e1 & op(e0, e1) = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11784) implies:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11785) all_58_14 = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11725), (11785) imply:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11786) e2 = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11638), (11786) imply:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11787) all_58_4 = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (11486), (11537), (11634),
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11787), (function-axioms) are inconsistent by
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1607.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11788) all_58_15 = e1 & op(e0, e0) = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11788) implies:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11789) op(e0, e0) = e1
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11434), (11789), (function-axioms) are
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11790) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.30/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (160), (168), (246), (8780),
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11415), (11420), (11422), (11428), (11537),
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11634), (11638), (11790), (function-axioms) are
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #126.
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11791) all_58_15 = e2 & op(e0, e0) = e2
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11433), (11791) are inconsistent by
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1651.
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11792) all_54_2 = e1 | all_54_2 = e0
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8768), (11534), (11792) are inconsistent
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #188.
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11793) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11793) gives:
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11794) all_58_8 = e3 & op(e1, e1) = e3
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (246), (8780), (11415),
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11420), (11428), (11537), (11634), (11638),
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11794), (function-axioms) are inconsistent by
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #130.
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11795) all_58_14 = e3 & op(e0, e1) = e3
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8762), (11424), (11795), (function-axioms) are
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11796) all_58_9 = e2 & op(e3, e0) = e2
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11796) implies:
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11797) all_58_9 = e2
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11486), (11797) are inconsistent by
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1646.
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11798) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11798) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11799) all_58_4 = e3 & op(e3, e1) = e3
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11799) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11800) all_58_4 = e3
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11801) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11801) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11802) all_58_0 = e2 & op(e3, e3) = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11802) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11803) op(e3, e3) = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11537), (11803), (function-axioms) are
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11804) all_58_1 = e2 & op(e3, e2) = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11804) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11805) all_58_1 = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11806) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (242), (244),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11471), (11537), (11800), (11806),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #883.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11807) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11807) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11808) all_58_7 = e3 & op(e1, e2) = e3
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11808) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11809) all_58_7 = e3
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11810) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11810) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11811) all_58_1 = e1 & op(e3, e2) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11811) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11812) all_58_1 = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (11486), (11537), (11800),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11812), (function-axioms) are inconsistent by
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #895.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11813) all_58_3 = e1 & op(e2, e2) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11471), (11813), (function-axioms) are
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11814) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11814) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11815) all_58_7 = e1 & op(e1, e2) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (67), (168), (240),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (11415), (11416), (11420), (11537),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11800), (11809), (11815), (function-axioms) are
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #121.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11816) all_58_13 = e1 & op(e0, e2) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11816) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11817) all_58_13 = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11818) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11818) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11819) all_58_6 = e1 & op(e1, e3) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11819) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11820) op(e1, e3) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11541), (11551), (11820), (function-axioms) are
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1466.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11821) all_58_7 = e1 & op(e1, e2) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (67), (168), (240),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (11415), (11416), (11420), (11537),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11800), (11809), (11821), (function-axioms) are
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #121.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11822) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11822) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11823) all_58_8 = e1 & op(e1, e1) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8780), (11823) are inconsistent by sub-proof
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #263.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11824) all_58_11 = e1 & op(e1, e0) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11824) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11825) all_58_11 = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11826) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11826) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11827) all_58_9 = e2 & op(e3, e0) = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11827) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11828) all_58_9 = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11486), (11828) imply:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11829) e2 = e0
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11829) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11830) e2 = e0
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11805), (11830) imply:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11831) all_58_1 = e0
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (236), (237), (238),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11491), (11817), (11831) are inconsistent by
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1615.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11832) all_58_10 = e2 & op(e2, e0) = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11832) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11833) op(e2, e0) = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11834) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11834) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11835) all_58_2 = e1 & op(e2, e3) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11835) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11836) op(e2, e3) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (11530), (11836), (function-axioms) are
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #470.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11837) all_58_3 = e1 & op(e2, e2) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11471), (11837), (function-axioms) are
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11838) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11838) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11839) all_58_5 = e1 & op(e2, e1) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11839) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11840) op(e2, e1) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11629) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11841) all_54_2 = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (11841) imply:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11842) all_52_8 = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11842) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11843) all_52_8 = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (11843) imply:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11844) ~ (all_4_1 = e2)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11844) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11845) ~ (all_4_1 = e2)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (190), (8790), (8794), (8797), (11424),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11840), (11845), (function-axioms) are
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #187.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11846) all_54_2 = e1 | all_54_2 = e0
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8768), (11534), (11846) are inconsistent
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #188.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11847) all_58_10 = e1 & op(e2, e0) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11847) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11848) op(e2, e0) = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11833), (11848), (function-axioms) are
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1785.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11849) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11849) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11850) all_58_11 = e2 & op(e1, e0) = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11850) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11851) all_58_11 = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11825), (11851) imply:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11852) e2 = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11852) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11853) e2 = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11805), (11853) imply:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11854) all_58_1 = e1
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (233), (234),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (244), (246), (11471), (11484), (11491),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11537), (11825), (11854), (function-axioms) are
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #886.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11855) all_58_15 = e2 & op(e0, e0) = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11855) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11856) all_58_15 = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11433), (11856) imply:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11857) e3 = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11809), (11857) imply:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11858) all_58_7 = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (238), (11491), (11805), (11817),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11858) are inconsistent by sub-proof #1461.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11859) all_58_13 = e3 & op(e0, e2) = e3
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11859) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11860) op(e0, e2) = e3
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11419), (11860), (function-axioms) are
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11861) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11861) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11862) all_58_4 = e2 & op(e3, e1) = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11800), (11862) are inconsistent by
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #980.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11863) all_58_9 = e2 & op(e3, e0) = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11863) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11864) all_58_9 = e2
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11486), (11864) are inconsistent by
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1646.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11865) all_58_9 = e3 & op(e3, e0) = e3
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11865) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11866) op(e3, e0) = e3
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11415), (11420), (11428), (11866),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1035.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11867) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11867) gives:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11868) all_58_13 = e0 & op(e0, e2) = e0
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11868) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11869) op(e0, e2) = e0
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11475), (11502), (11869), (function-axioms) are
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1528.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11870) all_58_14 = e0 & op(e0, e1) = e0
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11870) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11871) all_58_14 = e0
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (217), (218), (11433),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11434), (11517), (11871), (function-axioms) are
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1650.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (11872) all_54_0 = e0
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (11872) imply:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (11873) all_14_2 = e0
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11873) implies:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (11874) all_14_2 = e0
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11503), (11874) imply:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (11875) $false
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11875) is inconsistent.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | (11876) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (232), (233),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | (234), (8769), (11471), (11876), (function-axioms)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #243.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | (11877) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 202.63/33.80 | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | (232), (233), (234), (8780), (11471), (11877),
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.80 | | | | | | | | | | | | | | | | | | | #244.
% 202.63/33.80 | | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | End of split
% 202.63/33.80 | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | Case 2:
% 202.63/33.80 | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | (11878) all_16_2 = e3
% 202.63/33.80 | | | | | | | | | | | | (11879) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 202.63/33.80 | | | | | | | | | | | | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 202.63/33.80 | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0)))
% 202.63/33.80 | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | ALPHA: (11879) implies:
% 202.63/33.80 | | | | | | | | | | | | (11880) op(e3, e2) = all_16_1
% 202.63/33.80 | | | | | | | | | | | | (11881) ~ (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 202.63/33.80 | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0))
% 202.63/33.80 | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | COMBINE_EQS: (345), (11878) imply:
% 202.63/33.80 | | | | | | | | | | | | (11882) all_6_2 = e3
% 202.63/33.80 | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | SIMP: (11882) implies:
% 202.63/33.80 | | | | | | | | | | | | (11883) all_6_2 = e3
% 202.63/33.80 | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | COMBINE_EQS: (349), (11883) imply:
% 202.63/33.80 | | | | | | | | | | | | (11884) all_38_2 = e3
% 202.63/33.80 | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | COMBINE_EQS: (354), (11883) imply:
% 202.63/33.80 | | | | | | | | | | | | (11885) all_56_13 = e3
% 202.63/33.80 | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | REDUCE: (374), (11883) imply:
% 202.63/33.80 | | | | | | | | | | | | (11886) ~ (all_52_4 = e3)
% 202.63/33.80 | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | REDUCE: (39), (11883) imply:
% 202.63/33.80 | | | | | | | | | | | | (11887) op(e2, e2) = e3
% 202.63/33.80 | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.63/33.80 | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | (11888) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.63/33.80 | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.63/33.80 | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | BETA: splitting (11888) gives:
% 202.63/33.80 | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | Case 1:
% 202.63/33.80 | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | (11889) all_58_6 = e3 & op(e1, e3) = e3
% 202.63/33.80 | | | | | | | | | | | | | |
% 202.63/33.80 | | | | | | | | | | | | | | ALPHA: (11889) implies:
% 202.63/33.80 | | | | | | | | | | | | | | (11890) all_58_6 = e3
% 202.63/33.80 | | | | | | | | | | | | | | (11891) op(e1, e3) = e3
% 202.63/33.80 | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 202.63/33.81 | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | (11892) ~ (all_38_2 = e3)
% 202.63/33.81 | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | REDUCE: (11884), (11892) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | (11893) $false
% 202.63/33.81 | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | CLOSE: (11893) is inconsistent.
% 202.63/33.81 | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | (11894) op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0,
% 202.63/33.81 | | | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 202.63/33.81 | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | ALPHA: (11894) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | (11895) op(e3, e2) = all_38_1
% 202.63/33.81 | | | | | | | | | | | | | | | (11896) ~ (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0,
% 202.63/33.81 | | | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0))
% 202.63/33.81 | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 202.63/33.81 | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | (11897) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 202.63/33.81 | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 202.63/33.81 | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (162), (170),
% 202.63/33.81 | | | | | | | | | | | | | | | | (235), (236), (237), (355), (8767), (11880),
% 202.63/33.81 | | | | | | | | | | | | | | | | (11881), (11887), (11895), (11897),
% 202.63/33.81 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.81 | | | | | | | | | | | | | | | | #120.
% 202.63/33.81 | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | (11898) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 202.63/33.81 | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 202.63/33.81 | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | BETA: splitting (11898) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | (11899) all_58_4 = e3 & op(e3, e1) = e3
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | ALPHA: (11899) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | | | (11900) all_58_4 = e3
% 202.63/33.81 | | | | | | | | | | | | | | | | | (11901) op(e3, e1) = e3
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 202.63/33.81 | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (11891) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | (11902) all_52_2 = e3
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 202.63/33.81 | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (11901) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | (11903) all_52_8 = e3
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 202.63/33.81 | | | | | | | | | | | | | | | | | all_16_1, e2, e3, simplifying with (170), (11880)
% 202.63/33.81 | | | | | | | | | | | | | | | | | gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | (11904) all_52_4 = all_16_1
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 202.63/33.81 | | | | | | | | | | | | | | | | | all_38_1, e2, e3, simplifying with (170), (11895)
% 202.63/33.81 | | | | | | | | | | | | | | | | | gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | (11905) all_52_4 = all_38_1
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | COMBINE_EQS: (11904), (11905) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | (11906) all_38_1 = all_16_1
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | REDUCE: (144), (11902) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | (11907) ~ (all_52_3 = e3)
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | REDUCE: (366), (11904) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | (11908) ~ (all_16_1 = all_14_2)
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | REDUCE: (11439), (11904) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | (11909) ~ (all_16_1 = all_10_1)
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | REDUCE: (11886), (11904) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | (11910) ~ (all_16_1 = e3)
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | REDUCE: (368), (11903) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | (11911) ~ (all_14_2 = e3)
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | REDUCE: (11440), (11903) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | (11912) ~ (all_10_1 = e3)
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | (11913) ~ (all_28_2 = e1)
% 202.63/33.81 | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | REDUCE: (334), (11913) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | (11914) ~ (all_14_2 = e1)
% 202.63/33.81 | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | (11915) all_54_0 = e3
% 202.63/33.81 | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (11915) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | (11916) all_14_2 = e3
% 202.63/33.81 | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | REDUCE: (355), (11916) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | (11917) $false
% 202.63/33.81 | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | CLOSE: (11917) is inconsistent.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | (11918) ~ (all_54_0 = e3)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | (11919) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (11919) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | (11920) all_54_0 = e2
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (11920) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | (11921) all_14_2 = e2
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (11446), (11921) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | (11922) $false
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | CLOSE: (11922) is inconsistent.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | (11923) ~ (all_54_0 = e2)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | (11924) all_54_0 = e1 | all_54_0 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11924) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | (11925) all_54_0 = e1
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (11925) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | (11926) all_14_2 = e1
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11914), (11926) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | (11927) $false
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | CLOSE: (11927) is inconsistent.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | (11928) all_54_0 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (11928) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | (11929) all_14_2 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (11929) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | (11930) all_56_12 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (11929) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | (11931) ~ (all_52_1 = e0)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (11929) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | (11932) ~ (all_52_3 = e0)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (11929) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | (11933) ~ (e3 = e0)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11446), (11929) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | (11934) ~ (e2 = e0)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (11929) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | (11935) op(e3, e3) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | (11936) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11936) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | (11937) all_58_2 = e0 & op(e2, e3) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (11931), (11937), (function-axioms) are
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #273.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | (11938) all_58_3 = e0 & op(e2, e2) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11938) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | (11939) op(e2, e2) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11887), (11939), (function-axioms) are
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | (11940) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11940) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | (11941) all_58_5 = e0 & op(e2, e1) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11941) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | (11942) op(e2, e1) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (11942), (function-axioms) are
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | (11943) all_58_10 = e0 & op(e2, e0) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11943) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | (11944) all_58_10 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | (11945) op(e2, e0) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | (11946) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11946) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11947) all_58_1 = e0 & op(e3, e2) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11947) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11948) all_58_1 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (11900),
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11935), (11948), (function-axioms) are
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #238.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11949) all_58_3 = e0 & op(e2, e2) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11949) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11950) all_58_3 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11951) op(e2, e2) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (233), (234),
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11944), (11950), (11951), (function-axioms) are
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #992.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | (11952) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11952) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11953) all_58_7 = e0 & op(e1, e2) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11953) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11954) op(e1, e2) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8767), (11954), (function-axioms) are
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11955) all_58_13 = e0 & op(e0, e2) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11955) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11956) all_58_13 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11957) op(e0, e2) = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (11957) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11958) all_52_7 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (11945) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11959) all_52_13 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (11960) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11960) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11961) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11961) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11962) op(e0, e2) = all_56_10
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11963) all_56_13 = e0 | ( ~ (all_56_5 = e2) & op(e2, e0)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11964) all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2, e1)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_4 & $i(all_56_4))
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11965) all_56_10 = e1 | ( ~ (all_56_11 = e2) & op(e0, e1)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11963) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11966) all_56_13 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11885), (11966) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11967) e3 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11900), (11967) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11968) all_58_4 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (242), (244),
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (11415), (11420), (11428), (11935),
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11968), (function-axioms) are inconsistent by
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #528.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11969) ~ (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11969) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11970) ~ (all_56_5 = e2)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11971) op(e2, e0) = all_56_5
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11964) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11972) all_56_13 = e1
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11885), (11972) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11973) e3 = e1
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (11973) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11974) $false
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11974) is inconsistent.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11975) ~ (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11975) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11976) ~ (all_56_4 = e2)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11977) op(e2, e1) = all_56_4
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10, e2, e0, simplifying with (11957),
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11962) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11978) all_56_10 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_56_5,
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (11945), (11971) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11979) all_56_5 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4, e1, e2, simplifying with (165), (11977)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11980) all_56_4 = all_52_9
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11976), (11980) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11981) ~ (all_52_9 = e2)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11982) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (11900), (11981), (11982),
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #119.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11983) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11983) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11984) all_58_8 = e2 & op(e1, e1) = e2
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11984) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11985) all_58_8 = e2
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (11985) are inconsistent by sub-proof
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #984.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11986) all_58_14 = e2 & op(e0, e1) = e2
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11986) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11987) op(e0, e1) = e2
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11965) gives:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11988) all_56_10 = e1
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11978), (11988) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11989) e1 = e0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (11989) imply:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11990) $false
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11990) is inconsistent.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11991) ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11987), (11991), (function-axioms) are
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #118.
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11992) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11992) implies:
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11993) op(e3, e1) = all_56_1
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11994) all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1, e2)
% 202.63/33.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7))
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11995) all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_6 & $i(all_56_6))
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11996) all_56_1 = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11995) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11997) all_56_14 = e3
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8765), (11997) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11998) e3 = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11998) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11999) e3 = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11900), (11999) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12000) all_58_4 = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (242), (244),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (11415), (11420), (11428), (11935),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12000), (function-axioms) are inconsistent by
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #528.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12001) ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12001) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12002) ~ (all_56_6 = e1)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12003) op(e1, e3) = all_56_6
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11994) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12004) all_56_14 = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8765), (12004) are inconsistent by sub-proof
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #117.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12005) ~ (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12005) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12006) ~ (all_56_7 = e1)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12007) op(e1, e2) = all_56_7
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7, e2, e1, simplifying with (162), (12007)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12008) all_56_7 = all_52_6
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_6,
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (11891), (12003) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12009) all_56_6 = e3
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_1,
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (11901), (11993) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12010) all_56_1 = e3
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12006), (12008) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12011) ~ (all_52_6 = e1)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12012) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12012) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12013) all_58_1 = e1 & op(e3, e2) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12013) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12014) op(e3, e2) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11996) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12015) all_56_1 = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12010), (12015) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12016) e3 = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12016) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12017) e3 = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (12017) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12018) $false
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12018) is inconsistent.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12019) ~ (all_56_0 = e1) & op(e3, e2) = all_56_0 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12019) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12020) ~ (all_56_0 = e1)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12021) op(e3, e2) = all_56_0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12014), (12020), (12021), (function-axioms) are
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #116.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12022) all_58_3 = e1 & op(e2, e2) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12022) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12023) op(e2, e2) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11887), (12023), (function-axioms) are
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12024) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12024) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12025) all_58_7 = e1 & op(e1, e2) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12025) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12026) op(e1, e2) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12011), (12026), (function-axioms) are
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12027) all_58_13 = e1 & op(e0, e2) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12027) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12028) all_58_13 = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11956), (12028) are inconsistent by
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1325.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12029) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (11415), (11417), (11420), (11428),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (11930), (11932), (12029), (function-axioms) are
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #115.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | (12030) all_28_2 = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (12030) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | (12031) all_14_2 = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | REDUCE: (360), (12031) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | (12032) ~ (all_52_1 = e1)
% 202.63/33.82 | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | REDUCE: (11908), (12031) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | (12033) ~ (all_16_1 = e1)
% 202.63/33.82 | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | REDUCE: (355), (12031) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | (12034) ~ (e3 = e1)
% 202.63/33.82 | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | REDUCE: (11446), (12031) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | (12035) ~ (e2 = e1)
% 202.63/33.82 | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | REDUCE: (51), (12031) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | (12036) op(e3, e3) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | (12037) all_58_15 = e0 & op(e0, e0) = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (12037), (function-axioms) are
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | (12038) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 202.63/33.82 | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | ALPHA: (12038) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | (12039) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | e0) = e0)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | (12040) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12040) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (12041) all_58_4 = e1 & op(e3, e1) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12041) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (12042) all_58_4 = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (67), (168), (240),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (244), (246), (11415), (11416), (11420), (12036),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (12042), (function-axioms) are inconsistent by
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | sub-proof #287.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (12043) all_58_5 = e1 & op(e2, e1) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12043) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (12044) all_58_5 = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (162), (217), (219), (228), (229), (230), (235),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (243), (244),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (245), (356), (8767), (8780), (11418), (11419),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (11880), (11887), (11896), (11900), (11906),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (12036), (12044), (function-axioms) are
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #113.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | (12045) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12045) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (12046) all_58_8 = e1 & op(e1, e1) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8780), (12046) are inconsistent by sub-proof
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | #263.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (12047) all_58_14 = e1 & op(e0, e1) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12047) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (12048) all_58_14 = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | (12049) op(e0, e1) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | (12050) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12050) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | (12051) all_58_4 = e2 & op(e3, e1) = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11900), (12051) are inconsistent by
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #980.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | (12052) all_58_5 = e2 & op(e2, e1) = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12052) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | (12053) all_58_5 = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | (12054) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (11887), (12032), (12054),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | #203.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | (12055) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12055) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | (12056) all_58_5 = e1 & op(e2, e1) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12056) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | (12057) all_58_5 = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | (162), (217), (219), (228), (229), (230), (235),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (243), (244),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | (245), (356), (8767), (8780), (11418), (11419),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | (11880), (11887), (11896), (11900), (11906),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | (12036), (12057), (function-axioms) are
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #113.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | (12058) all_58_10 = e1 & op(e2, e0) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12058) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | (12059) all_58_10 = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | (12060) op(e2, e0) = e1
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12039) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12061) all_58_9 = e0 & op(e3, e0) = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12061) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12062) all_58_9 = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12063) op(e3, e0) = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12064) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12064) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12065) all_58_0 = e2 & op(e3, e3) = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12065) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12066) op(e3, e3) = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12036), (12066), (function-axioms) are
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12067) all_58_1 = e2 & op(e3, e2) = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12067) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12068) all_58_1 = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12069) op(e3, e2) = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12070) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (12060), (12062), (12070),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #898.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12071) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12071) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12072) all_58_11 = e2 & op(e1, e0) = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12072) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12073) all_58_11 = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12074) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12074) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12075) all_58_2 = e0 & op(e2, e3) = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12075) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12076) all_58_2 = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12077) op(e2, e3) = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12078) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12078) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12079) all_58_1 = e0 & op(e3, e2) = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12079) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12080) all_58_1 = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12068), (12080) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12081) e2 = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12073), (12081) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12082) all_58_11 = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780), (11890), (12082) are inconsistent by
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #248.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12083) all_58_3 = e0 & op(e2, e2) = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12083) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12084) op(e2, e2) = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (234), (12053), (12059), (12076),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12084), (function-axioms) are inconsistent by
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #760.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12085) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12085) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12086) all_58_7 = e0 & op(e1, e2) = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12086) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12087) op(e1, e2) = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8767), (12087), (function-axioms) are
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12088) all_58_13 = e0 & op(e0, e2) = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12088) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12089) all_58_13 = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12090) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12090) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12091) all_58_0 = e2 & op(e3, e3) = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12091) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12092) op(e3, e3) = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (240), (242), (11900),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12068), (12092), (function-axioms) are
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #486.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12093) all_58_2 = e2 & op(e2, e3) = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12093) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12094) all_58_2 = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12076), (12094) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12095) e2 = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12073), (12095) imply:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12096) all_58_11 = e0
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780), (11890), (12096) are inconsistent by
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #248.
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12097) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12097) gives:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12098) all_58_6 = e2 & op(e1, e3) = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12098) implies:
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12099) all_58_6 = e2
% 202.63/33.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (218), (239),
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (11418), (11433), (12036), (12048),
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12089), (12099), (function-axioms) are
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #112.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12100) all_58_12 = e2 & op(e0, e3) = e2
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12100) implies:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12101) op(e0, e3) = e2
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1, e1,
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (8762), (12049) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12102) all_4_1 = e1
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (12101) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12103) all_52_3 = e2
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (12060) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12104) all_52_13 = e1
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (12077) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12105) all_52_1 = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1, e0,
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (11415), (12063) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12106) all_10_1 = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1, e2,
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (11880), (12069) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12107) all_16_1 = e2
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11910), (12107) imply:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12108) ~ (e3 = e2)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11445), (12106) imply:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12109) ~ (e3 = e0)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12110) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12110) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12111) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12111) implies:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12112) op(e0, e2) = all_56_10
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12113) all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (158), (218), (11419), (11433),
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12048), (12089), (12112), (12113),
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #111.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12114) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (12060), (12114), (function-axioms)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #110.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12115) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12115) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12116) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12116) implies:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12117) op(e2, e0) = all_56_5
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12118) all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) =
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 & $i(all_56_3))
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11421), (12077), (12117), (12118),
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #142.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12119) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12119) implies:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12120) op(e0, e3) = all_56_9
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12121) all_56_9 = e2 | ( ~ (all_56_10 = e3) & op(e0, e2)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12122) ~ (all_56_15 = e3) | all_56_9 = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12122) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12123) ~ (all_56_15 = e3)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11417), (12123) imply:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12124) $false
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12124) is inconsistent.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12125) all_56_9 = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12121) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12126) all_56_9 = e2
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12125), (12126) imply:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12127) e2 = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12127) implies:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12128) e2 = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12073), (12128) imply:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12129) all_58_11 = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780), (11890), (12129) are inconsistent by
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #248.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12130) ~ (all_56_9 = e2)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12101), (12120), (12130), (function-axioms) are
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #663.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12131) all_58_3 = e0 & op(e2, e2) = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12131) implies:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12132) op(e2, e2) = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11887), (12132), (function-axioms) are
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12133) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12133) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12134) all_58_5 = e0 & op(e2, e1) = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12134) implies:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12135) op(e2, e1) = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (12135), (function-axioms) are
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12136) all_58_10 = e0 & op(e2, e0) = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12059), (12136) are inconsistent by
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1074.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12137) all_58_15 = e2 & op(e0, e0) = e2
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11433), (12137) are inconsistent by
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1651.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12138) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12138) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12139) all_58_4 = e2 & op(e3, e1) = e2
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11900), (12139) are inconsistent by
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #980.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12140) all_58_9 = e2 & op(e3, e0) = e2
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12062), (12140) are inconsistent by
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1915.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (12141) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12141) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12142) all_58_10 = e0 & op(e2, e0) = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12142) implies:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12143) all_58_10 = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12059), (12143) are inconsistent by
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1550.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12144) all_58_11 = e0 & op(e1, e0) = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12144) implies:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12145) all_58_11 = e0
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (224), (225), (226),
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780), (11890), (12145) are inconsistent by
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #248.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | (12146) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12146) gives:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | (12147) all_58_8 = e2 & op(e1, e1) = e2
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12147) implies:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | (12148) all_58_8 = e2
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (12148) are inconsistent by sub-proof
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | #984.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | (12149) all_58_14 = e2 & op(e0, e1) = e2
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12149) implies:
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | (12150) all_58_14 = e2
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | (162), (217), (219), (228), (229), (230), (235),
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (243), (244),
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | (245), (356), (8767), (8780), (11418), (11419),
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | (11880), (11887), (11896), (11900), (11906),
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | (12036), (12150), (function-axioms) are
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #114.
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | (12151) all_58_9 = e3 & op(e3, e0) = e3
% 202.63/33.83 | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | ALPHA: (12151) implies:
% 202.63/33.83 | | | | | | | | | | | | | | | | | (12152) op(e3, e0) = e3
% 202.63/33.83 | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11415), (11420), (11428), (12152),
% 202.63/33.83 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.83 | | | | | | | | | | | | | | | | | #1035.
% 202.63/33.83 | | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | (12153) all_58_7 = e3 & op(e1, e2) = e3
% 202.63/33.83 | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | ALPHA: (12153) implies:
% 202.63/33.83 | | | | | | | | | | | | | | (12154) all_58_7 = e3
% 202.63/33.83 | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 202.63/33.83 | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | Case 1:
% 202.63/33.83 | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | (12155) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 202.63/33.83 | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 202.63/33.83 | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | BETA: splitting (12155) gives:
% 202.63/33.83 | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | Case 1:
% 202.63/33.83 | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | (12156) all_58_0 = e3 & op(e3, e3) = e3
% 202.63/33.83 | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (12156), (function-axioms) are
% 202.63/33.83 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 202.63/33.83 | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | (12157) all_58_2 = e3 & op(e2, e3) = e3
% 202.63/33.83 | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | ALPHA: (12157) implies:
% 202.63/33.83 | | | | | | | | | | | | | | | | (12158) all_58_2 = e3
% 202.63/33.83 | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (231), (232),
% 202.63/33.83 | | | | | | | | | | | | | | | | (233), (8769), (11887), (12158), (function-axioms)
% 202.63/33.83 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #240.
% 202.63/33.83 | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | End of split
% 202.63/33.83 | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | Case 2:
% 202.63/33.83 | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | (12159) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 202.63/33.83 | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 202.63/33.83 | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | BETA: splitting (12159) gives:
% 202.63/33.83 | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | Case 1:
% 202.63/33.83 | | | | | | | | | | | | | | | |
% 202.63/33.83 | | | | | | | | | | | | | | | | (12160) all_58_6 = e3 & op(e1, e3) = e3
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | ALPHA: (12160) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | (12161) all_58_6 = e3
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | (12162) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 202.63/33.84 | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | BETA: splitting (12162) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | (12163) all_58_6 = e1 & op(e1, e3) = e1
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | ALPHA: (12163) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | (12164) all_58_6 = e1
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12161), (12164) are inconsistent by
% 202.63/33.84 | | | | | | | | | | | | | | | | | | sub-proof #1238.
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | (12165) all_58_7 = e1 & op(e1, e2) = e1
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12154), (12165) are inconsistent by
% 202.63/33.84 | | | | | | | | | | | | | | | | | | sub-proof #1727.
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | (12166) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 202.63/33.84 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | BETA: splitting (12166) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | (12167) all_58_8 = e1 & op(e1, e1) = e1
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8780), (12167) are inconsistent by sub-proof
% 202.63/33.84 | | | | | | | | | | | | | | | | | | #253.
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | (12168) all_58_11 = e1 & op(e1, e0) = e1
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | ALPHA: (12168) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | (12169) all_58_11 = e1
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | (12170) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (12170) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | (12171) all_58_6 = e2 & op(e1, e3) = e2
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | ALPHA: (12171) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | (12172) all_58_6 = e2
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12161), (12172) are inconsistent by
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | sub-proof #269.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | (12173) all_58_7 = e2 & op(e1, e2) = e2
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12154), (12173) are inconsistent by
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | sub-proof #1770.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | (12174) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (12174) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | (12175) all_58_8 = e2 & op(e1, e1) = e2
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (12175) are inconsistent by sub-proof
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | #219.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | (12176) all_58_11 = e2 & op(e1, e0) = e2
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12169), (12176) are inconsistent by
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | sub-proof #1622.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | (12177) all_58_12 = e3 & op(e0, e3) = e3
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | ALPHA: (12177) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | (12178) op(e0, e3) = e3
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | REF_CLOSE: (159), (11418), (12178), (function-axioms) are
% 202.63/33.84 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | (12179) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.63/33.84 | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.63/33.84 | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | REF_CLOSE: (7), (160), (8780), (11422), (12179),
% 202.63/33.84 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.84 | | | | | | | | | | | | | #167.
% 202.63/33.84 | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | (12180) all_14_2 = e2
% 202.63/33.84 | | | | | | | | | | | (12181) op(e2, e3) = all_14_1 & $i(all_14_1) & ( ~
% 202.63/33.84 | | | | | | | | | | | (all_14_1 = e1) | ( ~ (all_14_0 = e0) & op(e1,
% 202.63/33.84 | | | | | | | | | | | e3) = all_14_0 & $i(all_14_0)))
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | ALPHA: (12181) implies:
% 202.63/33.84 | | | | | | | | | | | (12182) op(e2, e3) = all_14_1
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | COMBINE_EQS: (339), (12180) imply:
% 202.63/33.84 | | | | | | | | | | | (12183) all_22_2 = e2
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | COMBINE_EQS: (290), (12180) imply:
% 202.63/33.84 | | | | | | | | | | | (12184) all_56_12 = e2
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | REDUCE: (360), (12180) imply:
% 202.63/33.84 | | | | | | | | | | | (12185) ~ (all_52_1 = e2)
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | REDUCE: (362), (12180) imply:
% 202.63/33.84 | | | | | | | | | | | (12186) ~ (all_52_2 = e2)
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | REDUCE: (366), (12180) imply:
% 202.63/33.84 | | | | | | | | | | | (12187) ~ (all_52_4 = e2)
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | REDUCE: (368), (12180) imply:
% 202.63/33.84 | | | | | | | | | | | (12188) ~ (all_52_8 = e2)
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | REDUCE: (11444), (12180) imply:
% 202.63/33.84 | | | | | | | | | | | (12189) ~ (all_10_1 = e2)
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | SIMP: (12189) implies:
% 202.63/33.84 | | | | | | | | | | | (12190) ~ (all_10_1 = e2)
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | REDUCE: (355), (12180) imply:
% 202.63/33.84 | | | | | | | | | | | (12191) ~ (e3 = e2)
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | REDUCE: (51), (12180) imply:
% 202.63/33.84 | | | | | | | | | | | (12192) op(e3, e3) = e2
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | BETA: splitting (64) gives:
% 202.63/33.84 | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | (12193) ~ (all_22_2 = e2)
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | REDUCE: (12183), (12193) imply:
% 202.63/33.84 | | | | | | | | | | | | (12194) $false
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | CLOSE: (12194) is inconsistent.
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | (12195) op(e2, e3) = all_22_1 & $i(all_22_1) & ( ~
% 202.63/33.84 | | | | | | | | | | | | (all_22_1 = e0) | ( ~ (all_22_0 = e1) & op(e0,
% 202.63/33.84 | | | | | | | | | | | | e3) = all_22_0 & $i(all_22_0)))
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | ALPHA: (12195) implies:
% 202.63/33.84 | | | | | | | | | | | | (12196) op(e2, e3) = all_22_1
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 202.63/33.84 | | | | | | | | | | | | all_14_1, e3, e2, simplifying with (167), (12182)
% 202.63/33.84 | | | | | | | | | | | | gives:
% 202.63/33.84 | | | | | | | | | | | | (12197) all_52_1 = all_14_1
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 202.63/33.84 | | | | | | | | | | | | all_22_1, e3, e2, simplifying with (167), (12196)
% 202.63/33.84 | | | | | | | | | | | | gives:
% 202.63/33.84 | | | | | | | | | | | | (12198) all_52_1 = all_22_1
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | COMBINE_EQS: (12197), (12198) imply:
% 202.63/33.84 | | | | | | | | | | | | (12199) all_22_1 = all_14_1
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | SIMP: (12199) implies:
% 202.63/33.84 | | | | | | | | | | | | (12200) all_22_1 = all_14_1
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | COMBINE_EQS: (279), (12197) imply:
% 202.63/33.84 | | | | | | | | | | | | (12201) all_54_4 = all_14_1
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | REDUCE: (149), (12197) imply:
% 202.63/33.84 | | | | | | | | | | | | (12202) ~ (all_52_2 = all_14_1)
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | SIMP: (12202) implies:
% 202.63/33.84 | | | | | | | | | | | | (12203) ~ (all_52_2 = all_14_1)
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | REDUCE: (148), (12197) imply:
% 202.63/33.84 | | | | | | | | | | | | (12204) ~ (all_52_3 = all_14_1)
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | SIMP: (12204) implies:
% 202.63/33.84 | | | | | | | | | | | | (12205) ~ (all_52_3 = all_14_1)
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | REDUCE: (146), (12197) imply:
% 202.63/33.84 | | | | | | | | | | | | (12206) ~ (all_52_9 = all_14_1)
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | SIMP: (12206) implies:
% 202.63/33.84 | | | | | | | | | | | | (12207) ~ (all_52_9 = all_14_1)
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | REDUCE: (145), (12197) imply:
% 202.63/33.84 | | | | | | | | | | | | (12208) ~ (all_52_13 = all_14_1)
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | SIMP: (12208) implies:
% 202.63/33.84 | | | | | | | | | | | | (12209) ~ (all_52_13 = all_14_1)
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | REDUCE: (371), (12197) imply:
% 202.63/33.84 | | | | | | | | | | | | (12210) ~ (all_14_1 = all_6_2)
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | REDUCE: (12185), (12197) imply:
% 202.63/33.84 | | | | | | | | | | | | (12211) ~ (all_14_1 = e2)
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | BETA: splitting (55) gives:
% 202.63/33.84 | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | (12212) ~ (all_16_2 = e3)
% 202.63/33.84 | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | REDUCE: (345), (12212) imply:
% 202.63/33.84 | | | | | | | | | | | | | (12213) ~ (all_6_2 = e3)
% 202.63/33.84 | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | BETA: splitting (199) gives:
% 202.63/33.84 | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | (12214) all_54_5 = e3
% 202.63/33.84 | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | COMBINE_EQS: (275), (12214) imply:
% 202.63/33.84 | | | | | | | | | | | | | | (12215) all_6_2 = e3
% 202.63/33.84 | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | REDUCE: (12213), (12215) imply:
% 202.63/33.84 | | | | | | | | | | | | | | (12216) $false
% 202.63/33.84 | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | CLOSE: (12216) is inconsistent.
% 202.63/33.84 | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | (12217) ~ (all_54_5 = e3)
% 202.63/33.84 | | | | | | | | | | | | | | (12218) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 202.63/33.84 | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | BETA: splitting (12218) gives:
% 202.63/33.84 | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | (12219) all_54_5 = e2
% 202.63/33.84 | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | COMBINE_EQS: (275), (12219) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | (12220) all_6_2 = e2
% 202.63/33.84 | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | REDUCE: (356), (12220) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | (12221) $false
% 202.63/33.84 | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | CLOSE: (12221) is inconsistent.
% 202.63/33.84 | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | (12222) ~ (all_54_5 = e2)
% 202.63/33.84 | | | | | | | | | | | | | | | (12223) all_54_5 = e1 | all_54_5 = e0
% 202.63/33.84 | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | BETA: splitting (12223) gives:
% 202.63/33.84 | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | (12224) all_54_5 = e1
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (12224) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | (12225) all_6_2 = e1
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | REDUCE: (8798), (12225) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | (12226) $false
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | CLOSE: (12226) is inconsistent.
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | (12227) all_54_5 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (12227) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | (12228) all_6_2 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (12228) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | (12229) all_56_13 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | REDUCE: (12210), (12228) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | (12230) ~ (all_14_1 = e0)
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | REDUCE: (12213), (12228) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | (12231) ~ (e3 = e0)
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | REDUCE: (356), (12228) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | (12232) ~ (e2 = e0)
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | REDUCE: (39), (12228) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | (12233) op(e2, e2) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | (12234) all_58_15 = e0 & op(e0, e0) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (12234), (function-axioms) are
% 202.63/33.84 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | (12235) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.63/33.84 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 202.63/33.84 | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 202.63/33.84 | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 202.63/33.84 | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | ALPHA: (12235) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | (12236) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.63/33.84 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 202.63/33.84 | | | | | | | | | | | | | | | | | e0) = e0)
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | (12237) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | BETA: splitting (12237) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | (12238) all_58_0 = e0 & op(e3, e3) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | ALPHA: (12238) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | (12239) op(e3, e3) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12192), (12239), (function-axioms) are
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | (12240) all_58_1 = e0 & op(e3, e2) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | ALPHA: (12240) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | (12241) all_58_1 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | (12242) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12242) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12243) all_58_2 = e0 & op(e2, e3) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12182), (12230), (12243), (function-axioms) are
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #163.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12244) all_58_3 = e0 & op(e2, e2) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12244) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12245) all_58_3 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | (12246) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12246) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | (12247) all_58_0 = e3 & op(e3, e3) = e3
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (12247), (function-axioms) are
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | (12248) all_58_1 = e3 & op(e3, e2) = e3
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12241), (12248) are inconsistent by
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1812.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | (12249) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12249) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | (12250) all_58_4 = e3 & op(e3, e1) = e3
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12250) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | (12251) all_58_4 = e3
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12236) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | (12252) all_58_9 = e0 & op(e3, e0) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12252) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | (12253) all_58_9 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (242), (12192), (12241), (12251),
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | (12253), (function-axioms) are inconsistent by
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #162.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | (12254) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12254) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12255) all_58_10 = e0 & op(e2, e0) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12255) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12256) all_58_10 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (233), (234),
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12233), (12245), (12256), (function-axioms) are
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #992.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12257) all_58_11 = e0 & op(e1, e0) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12257) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12258) all_58_11 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (12259) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12259) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12260) all_58_6 = e2 & op(e1, e3) = e2
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12260) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12261) op(e1, e3) = e2
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (12186), (12261), (function-axioms) are
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12262) all_58_7 = e2 & op(e1, e2) = e2
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12262) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12263) all_58_7 = e2
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (236), (238), (12241),
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12245), (12263) are inconsistent by sub-proof
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1726.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (12264) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (12258), (12264) are inconsistent by
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #247.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | (12265) all_58_9 = e3 & op(e3, e0) = e3
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12265) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | (12266) op(e3, e0) = e3
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11415), (11420), (11428), (12266),
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | #1035.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | (12267) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (232), (233),
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | (234), (8769), (12233), (12267), (function-axioms)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #243.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | (12268) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | BETA: splitting (12268) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | (12269) all_58_4 = e0 & op(e3, e1) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8768), (12269), (function-axioms) are
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #700.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | (12270) all_58_9 = e0 & op(e3, e0) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | ALPHA: (12270) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | (12271) all_58_9 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | (12272) op(e3, e0) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | (12273) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12273) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12274) all_58_0 = e0 & op(e3, e3) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12274) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12275) op(e3, e3) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (242), (244),
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (246), (11415), (11420), (11428), (12271),
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12275), (function-axioms) are inconsistent by
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | sub-proof #132.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12276) all_58_2 = e0 & op(e2, e3) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12182), (12230), (12276), (function-axioms) are
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #163.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | (12277) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12277) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12278) all_58_6 = e0 & op(e1, e3) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12278) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12279) op(e1, e3) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8766), (12279), (function-axioms) are
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12280) all_58_12 = e0 & op(e0, e3) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12280) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12281) all_58_12 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12282) op(e0, e3) = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (12282) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12283) all_52_3 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1, e0,
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (11415), (12272) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12284) all_10_1 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12205), (12283) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12285) ~ (all_14_1 = e0)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8791), (12283) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12286) ~ (all_4_1 = e0)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11442), (12284) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | (12287) ~ (all_52_13 = e0)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | (12288) all_54_14 = e3
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (12288) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | (12289) all_4_1 = e3
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11424), (12289) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | (12290) $false
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12290) is inconsistent.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | (12291) ~ (all_54_14 = e3)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | (12292) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | (12293) all_54_8 = e3
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (12293) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | (12294) all_52_2 = e3
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12294) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | (12295) all_52_2 = e3
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12203), (12295) imply:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | (12296) ~ (all_14_1 = e3)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12296) implies:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | (12297) ~ (all_14_1 = e3)
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | (12298) all_54_4 = e3
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12201), (12297), (12298) are inconsistent by
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1219.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | (12299) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12299) gives:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12300) all_54_4 = e2
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12201), (12211), (12300) are inconsistent by
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1218.
% 202.63/33.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | (12301) all_54_4 = e1 | all_54_4 = e0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12301) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (12302) all_54_4 = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12201), (12302) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (12303) all_14_1 = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12303) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (12304) all_14_1 = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12207), (12304) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (12305) ~ (all_52_9 = e1)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12209), (12304) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (12306) ~ (all_52_13 = e1)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12307) all_54_7 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (11421), (12307) are inconsistent by
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1491.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12308) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12308) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12309) all_54_7 = e2
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (12309) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12310) all_52_13 = e2
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12310) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12311) all_52_13 = e2
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (12311) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12312) ~ (all_52_9 = e2)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12313) all_54_6 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (12313) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12314) all_52_9 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12314) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12315) all_52_9 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (12315) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12316) ~ (all_52_8 = e3)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (12315) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12317) op(e2, e1) = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12318) all_54_2 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (12316), (12318) are inconsistent by
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #983.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12319) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12319) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12320) all_54_2 = e2
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (12188), (12320) are inconsistent by
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #982.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12321) all_54_2 = e1 | all_54_2 = e0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12321) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12322) all_54_2 = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (12322) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12323) all_52_8 = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12323) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12324) all_52_8 = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (12324) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12325) ~ (all_4_1 = e1)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12325) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12326) ~ (all_4_1 = e1)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12292) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12327) all_54_14 = e2
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (12327) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12328) all_4_1 = e2
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12328) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12329) all_4_1 = e2
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8789), (12329) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12330) all_12_1 = e2
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8785) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12331) ~ (all_12_1 = e2)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12330), (12331) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12332) $false
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12332) is inconsistent.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12333) ~ (all_12_0 = e3) & op(e2, e1) = all_12_0 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_0)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12333) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12334) ~ (all_12_0 = e3)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12335) op(e2, e1) = all_12_0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_12_0,
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (12317), (12335) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12336) all_12_0 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12334), (12336) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12337) $false
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12337) is inconsistent.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12338) all_54_14 = e1 | all_54_14 = e0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (8797), (12326), (12338) are inconsistent
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #232.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12339) all_54_2 = e0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8768), (12339) are inconsistent by
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #947.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12340) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8769), (12305), (12312), (12340) are
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #109.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12341) all_54_7 = e1 | all_54_7 = e0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (12287), (12306), (12341) are inconsistent
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1697.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (12342) all_54_4 = e0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12201), (12230), (12342) are inconsistent by
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1216.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | (12343) ~ (all_54_8 = e3)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | (12344) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (12343) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | (12345) ~ (all_52_2 = e3)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | (12346) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12346) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | (12347) all_58_0 = e3 & op(e3, e3) = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (12347), (function-axioms) are
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | (12348) all_58_2 = e3 & op(e2, e3) = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12348) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | (12349) all_58_2 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12344) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (12350) all_54_8 = e2
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (12186), (12350) are inconsistent by
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (12351) ~ (all_54_8 = e2)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (12352) all_54_8 = e1 | all_54_8 = e0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12352) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12353) all_54_8 = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (12353) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12354) all_52_2 = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12354) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12355) all_52_2 = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (12355) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12356) ~ (all_52_14 = e1)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12356) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12357) ~ (all_52_14 = e1)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12203), (12355) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12358) ~ (all_14_1 = e1)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12358) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12359) ~ (all_14_1 = e1)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12186), (12355) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12360) ~ (e2 = e1)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12361) all_54_4 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12201), (12361) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12362) all_14_1 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12362) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12363) all_14_1 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12207), (12363) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12364) ~ (all_52_9 = e3)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12365) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12365) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12366) all_58_6 = e3 & op(e1, e3) = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12366) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12367) all_58_6 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (239), (241), (12192),
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12349), (12367), (function-axioms) are
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1107.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12368) all_58_7 = e3 & op(e1, e2) = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12368) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12369) all_58_7 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12370) op(e1, e2) = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12371) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12371) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12372) all_58_4 = e3 & op(e3, e1) = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12372) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12373) all_58_4 = e3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12374) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12374) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12375) all_58_0 = e1 & op(e3, e3) = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12375) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12376) op(e3, e3) = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12192), (12376), (function-axioms) are
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12377) all_58_1 = e1 & op(e3, e2) = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12377) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12378) all_58_1 = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12379) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (163), (239),
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (245), (355), (12186), (12192), (12349),
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12369), (12379), (function-axioms) are
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #412.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12380) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12380) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12381) all_58_8 = e2 & op(e1, e1) = e2
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12381) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12382) all_58_8 = e2
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (12382) are inconsistent by sub-proof
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #984.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12383) all_58_11 = e2 & op(e1, e0) = e2
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12383) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12384) op(e1, e0) = e2
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12385) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12385) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12386) all_58_9 = e1 & op(e3, e0) = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12386) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12387) all_58_9 = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12271), (12387) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12388) e1 = e0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12388) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12389) e1 = e0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12378), (12389) imply:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12390) all_58_1 = e0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (242), (12192), (12271), (12373),
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12390), (function-axioms) are inconsistent by
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #162.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12391) all_58_10 = e1 & op(e2, e0) = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12391) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12392) op(e2, e0) = e1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12393) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12393) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12394) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8767), (12384), (12394), (function-axioms)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #108.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12395) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (12392), (12395), (function-axioms)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #110.
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12396) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12396) gives:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12397) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12397) implies:
% 202.63/33.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12398) op(e2, e0) = all_56_5
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12399) ~ (all_56_13 = e0) | all_56_5 = e2
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12229), (12392), (12398), (12399),
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1045.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12400) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12400) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12401) op(e1, e3) = all_56_6
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12402) all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) =
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (12186), (12370), (12401), (12402),
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #961.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12403) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12403) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12404) all_58_11 = e1 & op(e1, e0) = e1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12404) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12405) op(e1, e0) = e1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12357), (12405), (function-axioms) are
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #266.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12406) all_58_15 = e1 & op(e0, e0) = e1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12406) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12407) op(e0, e0) = e1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (159), (219),
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (8780), (11418), (11419),
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12373), (12407), (function-axioms) are
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #194.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12408) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12408) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12409) all_58_4 = e1 & op(e3, e1) = e1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12409) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12410) all_58_4 = e1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12373), (12410) imply:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12411) e3 = e1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12349), (12411) imply:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12412) all_58_2 = e1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (159), (163), (245), (355), (11418),
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12345), (12412), (function-axioms) are
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #607.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12413) all_58_9 = e1 & op(e3, e0) = e1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12413) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12414) all_58_9 = e1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12271), (12414) are inconsistent by
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1913.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12415) all_58_5 = e3 & op(e2, e1) = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12415) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12416) op(e2, e1) = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12364), (12416), (function-axioms) are
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12417) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12417) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12418) all_58_8 = e3 & op(e1, e1) = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12418) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12419) all_58_8 = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (12419) imply:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12420) e3 = e0
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (51), (241), (245), (355),
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12192), (12281), (12349), (12420),
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #156.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12421) all_58_14 = e3 & op(e0, e1) = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8762), (11424), (12421), (function-axioms) are
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12422) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12422) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12423) all_58_8 = e3 & op(e1, e1) = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12423) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12424) all_58_8 = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (12424) imply:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12425) e3 = e0
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (51), (241), (245), (355),
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12192), (12281), (12349), (12425),
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #156.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12426) all_58_11 = e3 & op(e1, e0) = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12426) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12427) op(e1, e0) = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11422), (12427), (function-axioms) are
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12428) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12201), (12211), (12230), (12359), (12428) are
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #598.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12429) all_54_8 = e0
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (8766), (12429) are inconsistent by
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1738.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | (12430) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (11418), (12345), (12430),
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | #608.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | End of split
% 202.63/33.86 | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | (12431) all_16_2 = e3
% 202.63/33.86 | | | | | | | | | | | | | (12432) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 202.63/33.86 | | | | | | | | | | | | | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 202.63/33.86 | | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0)))
% 202.63/33.86 | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | ALPHA: (12432) implies:
% 202.63/33.86 | | | | | | | | | | | | | (12433) op(e3, e2) = all_16_1
% 202.63/33.86 | | | | | | | | | | | | | (12434) ~ (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 202.63/33.86 | | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0))
% 202.63/33.86 | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | COMBINE_EQS: (345), (12431) imply:
% 202.63/33.86 | | | | | | | | | | | | | (12435) all_6_2 = e3
% 202.63/33.86 | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | COMBINE_EQS: (349), (12435) imply:
% 202.63/33.86 | | | | | | | | | | | | | (12436) all_38_2 = e3
% 202.63/33.86 | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | COMBINE_EQS: (354), (12435) imply:
% 202.63/33.86 | | | | | | | | | | | | | (12437) all_56_13 = e3
% 202.63/33.86 | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | REDUCE: (374), (12435) imply:
% 202.63/33.86 | | | | | | | | | | | | | (12438) ~ (all_52_4 = e3)
% 202.63/33.86 | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | REDUCE: (380), (12435) imply:
% 202.63/33.86 | | | | | | | | | | | | | (12439) ~ (all_52_9 = e3)
% 202.63/33.86 | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | REDUCE: (39), (12435) imply:
% 202.63/33.86 | | | | | | | | | | | | | (12440) op(e2, e2) = e3
% 202.63/33.86 | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | BETA: splitting (88) gives:
% 202.63/33.86 | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | (12441) ~ (all_38_2 = e3)
% 202.63/33.86 | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | REDUCE: (12436), (12441) imply:
% 202.63/33.86 | | | | | | | | | | | | | | (12442) $false
% 202.63/33.86 | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | CLOSE: (12442) is inconsistent.
% 202.63/33.86 | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | (12443) op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 202.63/33.86 | | | | | | | | | | | | | | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0,
% 202.63/33.86 | | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 202.63/33.86 | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | ALPHA: (12443) implies:
% 202.63/33.86 | | | | | | | | | | | | | | (12444) op(e3, e2) = all_38_1
% 202.63/33.86 | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.63/33.86 | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | (12445) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.63/33.86 | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.63/33.86 | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | BETA: splitting (12445) gives:
% 202.63/33.86 | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | (12446) all_58_6 = e3 & op(e1, e3) = e3
% 202.63/33.86 | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | ALPHA: (12446) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | (12447) all_58_6 = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | (12448) op(e1, e3) = e3
% 202.63/33.86 | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | (12449) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 202.63/33.86 | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (162), (170),
% 202.63/33.86 | | | | | | | | | | | | | | | | | (235), (236), (237), (355), (8767), (12433),
% 202.63/33.86 | | | | | | | | | | | | | | | | | (12434), (12440), (12444), (12449),
% 202.63/33.86 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.86 | | | | | | | | | | | | | | | | | #120.
% 202.63/33.86 | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | (12450) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 202.63/33.86 | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | BETA: splitting (12450) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | (12451) all_58_4 = e3 & op(e3, e1) = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | ALPHA: (12451) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | (12452) all_58_4 = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | (12453) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (12453) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | ALPHA: (12451) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | (12454) op(e3, e1) = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (12448) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | (12455) all_52_2 = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (12454) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | (12456) all_52_8 = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | all_16_1, e2, e3, simplifying with (170), (12433)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | (12457) all_52_4 = all_16_1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | all_38_1, e2, e3, simplifying with (170), (12444)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | (12458) all_52_4 = all_38_1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12457), (12458) imply:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | (12459) all_38_1 = all_16_1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | SIMP: (12459) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | (12460) all_38_1 = all_16_1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (12455) imply:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | (12461) ~ (all_52_14 = e3)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (12438), (12457) imply:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | (12462) ~ (all_16_1 = e3)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (12463) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12463) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (12464) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12184), (12433), (12462), (12464),
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | #1091.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (12465) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12465) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (12466) op(e0, e1) = all_56_11
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (12467) op(e3, e1) = all_56_1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (12468) all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1, e2)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7))
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (12469) all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | = all_56_6 & $i(all_56_6))
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (12470) all_56_1 = e0 | ( ~ (all_56_2 = e1) & op(e3, e0) =
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | all_56_2 & $i(all_56_2))
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (12471) all_56_1 = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | (12472) ~ (all_56_15 = e1) | all_56_11 = e0
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12469) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | (12473) all_56_14 = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8765), (12473) are inconsistent by sub-proof
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | #144.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | (12474) ~ (all_56_14 = e3)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | (12475) ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12475) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | (12476) ~ (all_56_6 = e1)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | (12477) op(e1, e3) = all_56_6
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8765), (12474) imply:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | (12478) ~ (e3 = e0)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12468) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | (12479) all_56_14 = e2
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8765), (12479) are inconsistent by sub-proof
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | #117.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | (12480) ~ (all_56_14 = e2)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8765), (12480) imply:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | (12481) ~ (e2 = e0)
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | all_56_11, e1, e0, simplifying with (8762),
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | (12466) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | (12482) all_56_11 = all_4_1
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_6,
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (12448), (12477) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | (12483) all_56_6 = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_1,
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (12454), (12467) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | (12484) all_56_1 = e3
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12471) gives:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | (12485) all_56_1 = e2
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12484), (12485) imply:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | (12486) e3 = e2
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12486) implies:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | (12487) e3 = e2
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12452), (12487) imply:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | (12488) all_58_4 = e2
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (8768), (12192), (12433),
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | (12462), (12488), (function-axioms) are
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #149.
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12489) ~ (all_56_0 = e1) & op(e3, e2) = all_56_0 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12489) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12490) ~ (all_56_0 = e1)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12491) op(e3, e2) = all_56_0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (12492) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12492) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12493) all_58_0 = e1 & op(e3, e3) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12493) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12494) op(e3, e3) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12192), (12494), (function-axioms) are
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12495) all_58_1 = e1 & op(e3, e2) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12495) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12496) op(e3, e2) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12490), (12491), (12496), (function-axioms) are
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #116.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (12497) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12497) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12498) all_58_4 = e1 & op(e3, e1) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12498) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12499) all_58_4 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12452), (12499) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12500) e3 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12500) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12501) e3 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11417), (12501) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12502) all_56_15 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8762), (8797), (12466), (12472), (12502),
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | #267.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12503) all_58_9 = e1 & op(e3, e0) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12503) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12504) op(e3, e0) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12470), (12484), (12504), (function-axioms)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #775.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (12505) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12505) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (12506) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12506) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (12507) op(e1, e0) = all_56_8
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (12508) op(e2, e0) = all_56_5
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (12509) op(e3, e0) = all_56_2
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (12510) all_56_15 = e1 | ( ~ (all_56_11 = e0) & op(e0, e1)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (12511) all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0, e2)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (12512) all_56_8 = e2 | ( ~ (all_56_7 = e0) & op(e1, e2) =
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (12513) all_56_8 = e3 | ( ~ (all_56_6 = e0) & op(e1, e3) =
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | all_56_6 & $i(all_56_6))
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (12514) all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) =
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | all_56_3 & $i(all_56_3))
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (12515) all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1) =
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | all_56_1 & $i(all_56_1))
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (12516) all_56_2 = e2 | ( ~ (all_56_0 = e0) & op(e3, e2) =
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (12517) ~ (all_56_14 = e0) | all_56_8 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | (12518) ~ (all_56_12 = e0) | all_56_2 = e3
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12510) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | (12519) all_56_15 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11417), (12519) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | (12520) e3 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (12520) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | (12521) $false
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12521) is inconsistent.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | (12522) ~ (all_56_15 = e1)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | (12523) ~ (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12523) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | (12524) ~ (all_56_11 = e0)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | (12525) op(e0, e1) = all_56_11
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12517) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | (12526) ~ (all_56_14 = e0)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8765), (12526) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | (12527) $false
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12527) is inconsistent.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | (12528) all_56_8 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12507), (12528) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | (12529) op(e1, e0) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12511) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12530) all_56_15 = e2
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11417), (12530) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12531) e3 = e2
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12452), (12531) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12532) all_58_4 = e2
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (8768), (12192), (12433),
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12462), (12532), (function-axioms) are
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #149.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12533) ~ (all_56_15 = e2)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12534) ~ (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12534) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12535) ~ (all_56_10 = e0)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12536) op(e0, e2) = all_56_10
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12513) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (12537) all_56_8 = e3
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12528), (12537) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (12538) e3 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (12538) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (12539) $false
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12539) is inconsistent.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (12540) ~ (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12540) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (12541) ~ (all_56_6 = e0)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (12542) op(e1, e3) = all_56_6
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12512) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12543) all_56_8 = e2
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12528), (12543) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12544) e2 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (12544) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12545) $false
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12545) is inconsistent.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12546) ~ (all_56_8 = e2)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12547) ~ (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12547) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12548) ~ (all_56_7 = e0)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12549) op(e1, e2) = all_56_7
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12528), (12546) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12550) ~ (e2 = e1)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (12529) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12551) all_52_14 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_6,
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (12448), (12542) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12552) all_56_6 = e3
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e0, e2, simplifying with (164), (12508)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12553) all_56_5 = all_52_13
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2, e0, e3, simplifying with (11415),
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12509) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12554) all_56_2 = all_10_1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11422), (12551) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12555) ~ (e3 = e1)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12556) all_58_15 = e0 & op(e0, e0) = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (12556), (function-axioms) are
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12557) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12557) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12558) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12559) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12559) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12560) all_58_1 = e0 & op(e3, e2) = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12560) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12561) all_58_1 = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12562) op(e3, e2) = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12558) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12563) all_58_12 = e0 & op(e0, e3) = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12563) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12564) all_58_12 = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12565) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12565) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12566) all_58_6 = e2 & op(e1, e3) = e2
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12566) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12567) op(e1, e3) = e2
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (12186), (12567), (function-axioms) are
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12568) all_58_7 = e2 & op(e1, e2) = e2
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12568) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12569) all_58_7 = e2
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12570) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12570) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12571) all_58_0 = e1 & op(e3, e3) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12571) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12572) op(e3, e3) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12192), (12572), (function-axioms) are
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12573) all_58_2 = e1 & op(e2, e3) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12573) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12574) all_58_2 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12575) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12575) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12576) all_58_2 = e0 & op(e2, e3) = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12576) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12577) all_58_2 = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (241), (12192), (12447), (12564),
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12577), (function-axioms) are inconsistent by
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #157.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12578) all_58_3 = e0 & op(e2, e2) = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12578) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12579) all_58_3 = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (236), (238), (12561),
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12569), (12579) are inconsistent by sub-proof
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1726.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12580) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12580) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12581) all_58_5 = e0 & op(e2, e1) = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12581) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12582) op(e2, e1) = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (12582), (function-axioms) are
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12583) all_58_10 = e0 & op(e2, e0) = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12583) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12584) all_58_10 = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12585) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12585) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12586) all_58_9 = e2 & op(e3, e0) = e2
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12586) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12587) all_58_9 = e2
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12588) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12588) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12589) all_58_0 = e1 & op(e3, e3) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12589) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12590) op(e3, e3) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12192), (12590), (function-axioms) are
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12591) all_58_1 = e1 & op(e3, e2) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12591) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12592) all_58_1 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12561), (12592) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12593) e1 = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12593) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12594) e1 = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12574), (12594) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12595) all_58_2 = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (241), (12192), (12447), (12564),
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12595), (function-axioms) are inconsistent by
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #157.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12596) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12596) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12597) all_58_4 = e1 & op(e3, e1) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12597) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12598) all_58_4 = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12599) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (51), (240), (242),
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (12192), (12587), (12599),
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1255.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (11415), (11420), (11428), (12450),
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12598), (function-axioms) are inconsistent by
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #107.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12600) all_58_9 = e1 & op(e3, e0) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12600) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12601) op(e3, e0) = e1
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12509), (12515), (12516), (12562), (12601),
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #106.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12602) all_58_10 = e2 & op(e2, e0) = e2
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12602) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12603) all_58_10 = e2
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12584), (12603) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12604) e2 = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12604) implies:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12605) e2 = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12184), (12605) imply:
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12606) all_56_12 = e0
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11415), (11420), (11428), (12509),
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12518), (12606), (function-axioms) are
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #501.
% 202.63/33.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12607) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12607) gives:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12608) all_58_11 = e2 & op(e1, e0) = e2
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12608) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12609) op(e1, e0) = e2
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12507), (12546), (12609), (function-axioms) are
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1311.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12610) all_58_15 = e2 & op(e0, e0) = e2
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12610) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12611) all_58_15 = e2
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11433), (12611) imply:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12612) e3 = e2
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12612) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12613) e3 = e2
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12452), (12613) imply:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12614) all_58_4 = e2
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (169), (240),
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (246), (355), (8768), (12192), (12433),
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12462), (12614), (function-axioms) are
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #149.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12615) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12615) gives:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12616) all_58_6 = e1 & op(e1, e3) = e1
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12616) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12617) all_58_6 = e1
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12447), (12617) are inconsistent by
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1238.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12618) all_58_12 = e1 & op(e0, e3) = e1
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12618) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12619) all_58_12 = e1
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12620) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12620) gives:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12621) all_58_0 = e0 & op(e3, e3) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12621) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12622) op(e3, e3) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12192), (12622), (function-axioms) are
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12623) all_58_2 = e0 & op(e2, e3) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12623) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12624) op(e2, e3) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11421), (12508), (12514), (12624),
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #142.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12625) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12625) gives:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12626) all_58_6 = e0 & op(e1, e3) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12626) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12627) op(e1, e3) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_56_6,
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (12542), (12627) gives:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12628) all_56_6 = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12541), (12628) imply:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12629) $false
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12629) is inconsistent.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12564), (12619) are inconsistent by
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1237.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12630) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12630) gives:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12631) all_58_8 = e2 & op(e1, e1) = e2
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12631) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12632) all_58_8 = e2
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8780), (11415), (11420), (11428), (12184),
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12509), (12518), (12632), (function-axioms) are
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #472.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12633) all_58_11 = e2 & op(e1, e0) = e2
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12633) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12634) op(e1, e0) = e2
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12507), (12546), (12634), (function-axioms) are
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1311.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12635) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12524), (12525), (12535), (12536), (12635),
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #277.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12636) all_58_3 = e0 & op(e2, e2) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12636) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12637) op(e2, e2) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12440), (12637), (function-axioms) are
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12638) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12638) gives:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12639) all_58_7 = e0 & op(e1, e2) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12639) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12640) op(e1, e2) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12548), (12549), (12640), (function-axioms) are
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #374.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12641) all_58_13 = e0 & op(e0, e2) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12641) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12642) op(e0, e2) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12535), (12536), (12642), (function-axioms) are
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1333.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | (12643) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12182), (12211), (12437), (12643),
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | | #1080.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | (12644) all_58_5 = e3 & op(e2, e1) = e3
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (12644) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | (12645) op(e2, e1) = e3
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12439), (12645), (function-axioms) are
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | (12646) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 202.63/33.88 | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (12646) gives:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | (12647) all_58_8 = e3 & op(e1, e1) = e3
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (12647) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | (12648) all_58_8 = e3
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (223), (224),
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | (225), (12186), (12447), (12648),
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | #1269.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | (12649) all_58_14 = e3 & op(e0, e1) = e3
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (12649) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | (12650) all_58_14 = e3
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (228), (229), (230),
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | (8780), (12452), (12650) are inconsistent by
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | sub-proof #195.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | (12651) all_58_9 = e3 & op(e3, e0) = e3
% 202.63/33.88 | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | ALPHA: (12651) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | (12652) op(e3, e0) = e3
% 202.63/33.88 | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11415), (11420), (11428), (12652),
% 202.63/33.88 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.88 | | | | | | | | | | | | | | | | | | #1035.
% 202.63/33.88 | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | (12653) all_58_7 = e3 & op(e1, e2) = e3
% 202.63/33.88 | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | ALPHA: (12653) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | (12654) all_58_7 = e3
% 202.63/33.88 | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (162), (169),
% 202.63/33.88 | | | | | | | | | | | | | | | | (170), (235), (236), (237), (240), (242), (246),
% 202.63/33.88 | | | | | | | | | | | | | | | | (355), (8767), (8768), (12187), (12192), (12440),
% 202.63/33.88 | | | | | | | | | | | | | | | | (12654), (function-axioms) are inconsistent by
% 202.63/33.88 | | | | | | | | | | | | | | | | sub-proof #134.
% 202.63/33.88 | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | (12655) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.63/33.88 | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (8780), (11422), (12655),
% 202.63/33.88 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.88 | | | | | | | | | | | | | | | #167.
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | End of split
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | End of split
% 202.63/33.88 | | | | | | | |
% 202.63/33.88 | | | | | | | End of split
% 202.63/33.88 | | | | | | |
% 202.63/33.88 | | | | | | End of split
% 202.63/33.88 | | | | | |
% 202.63/33.88 | | | | | Case 2:
% 202.63/33.88 | | | | | |
% 202.63/33.88 | | | | | | (12656) all_6_2 = e1
% 202.63/33.88 | | | | | | (12657) op(e1, e2) = all_6_1 & $i(all_6_1) & ( ~ (all_6_1 = e0) |
% 202.63/33.88 | | | | | | ( ~ (all_6_0 = e3) & op(e0, e2) = all_6_0 &
% 202.63/33.88 | | | | | | $i(all_6_0)))
% 202.63/33.88 | | | | | |
% 202.63/33.88 | | | | | | ALPHA: (12657) implies:
% 202.63/33.88 | | | | | | (12658) op(e1, e2) = all_6_1
% 202.63/33.88 | | | | | |
% 202.63/33.88 | | | | | | COMBINE_EQS: (341), (12656) imply:
% 202.63/33.88 | | | | | | (12659) all_18_2 = e1
% 202.63/33.88 | | | | | |
% 202.63/33.88 | | | | | | COMBINE_EQS: (354), (12656) imply:
% 202.63/33.88 | | | | | | (12660) all_56_13 = e1
% 202.63/33.88 | | | | | |
% 202.63/33.88 | | | | | | REDUCE: (371), (12656) imply:
% 202.63/33.88 | | | | | | (12661) ~ (all_52_1 = e1)
% 202.63/33.88 | | | | | |
% 202.63/33.88 | | | | | | REDUCE: (374), (12656) imply:
% 202.63/33.88 | | | | | | (12662) ~ (all_52_4 = e1)
% 202.63/33.88 | | | | | |
% 202.63/33.88 | | | | | | REDUCE: (376), (12656) imply:
% 202.63/33.88 | | | | | | (12663) ~ (all_52_6 = e1)
% 202.63/33.88 | | | | | |
% 202.63/33.88 | | | | | | REDUCE: (378), (12656) imply:
% 202.63/33.88 | | | | | | (12664) ~ (all_52_7 = e1)
% 202.63/33.88 | | | | | |
% 202.63/33.88 | | | | | | REDUCE: (380), (12656) imply:
% 202.63/33.88 | | | | | | (12665) ~ (all_52_9 = e1)
% 202.63/33.88 | | | | | |
% 202.63/33.88 | | | | | | REDUCE: (382), (12656) imply:
% 202.63/33.88 | | | | | | (12666) ~ (all_52_13 = e1)
% 202.63/33.88 | | | | | |
% 202.63/33.88 | | | | | | REDUCE: (356), (12656) imply:
% 202.63/33.88 | | | | | | (12667) ~ (e2 = e1)
% 202.63/33.88 | | | | | |
% 202.63/33.88 | | | | | | BETA: splitting (58) gives:
% 202.63/33.88 | | | | | |
% 202.63/33.88 | | | | | | Case 1:
% 202.63/33.88 | | | | | | |
% 202.63/33.88 | | | | | | | (12668) ~ (all_18_2 = e1)
% 202.63/33.88 | | | | | | |
% 202.63/33.88 | | | | | | | REDUCE: (12659), (12668) imply:
% 202.63/33.88 | | | | | | | (12669) $false
% 202.63/33.88 | | | | | | |
% 202.63/33.88 | | | | | | | CLOSE: (12669) is inconsistent.
% 202.63/33.88 | | | | | | |
% 202.63/33.88 | | | | | | Case 2:
% 202.63/33.88 | | | | | | |
% 202.63/33.88 | | | | | | | (12670) op(e1, e2) = all_18_1 & $i(all_18_1) & ( ~ (all_18_1 =
% 202.63/33.88 | | | | | | | e3) | ( ~ (all_18_0 = e0) & op(e3, e2) = all_18_0 &
% 202.63/33.88 | | | | | | | $i(all_18_0)))
% 202.63/33.88 | | | | | | |
% 202.63/33.88 | | | | | | | ALPHA: (12670) implies:
% 202.63/33.88 | | | | | | | (12671) op(e1, e2) = all_18_1
% 202.63/33.88 | | | | | | | (12672) ~ (all_18_1 = e3) | ( ~ (all_18_0 = e0) & op(e3, e2) =
% 202.63/33.88 | | | | | | | all_18_0 & $i(all_18_0))
% 202.63/33.88 | | | | | | |
% 202.63/33.88 | | | | | | | BETA: splitting (232) gives:
% 202.63/33.88 | | | | | | |
% 202.63/33.88 | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | |
% 202.63/33.88 | | | | | | | | (12673) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 &
% 202.63/33.88 | | | | | | | | op(e2, e2) = e1)
% 202.63/33.88 | | | | | | | |
% 202.63/33.88 | | | | | | | | BETA: splitting (12673) gives:
% 202.63/33.88 | | | | | | | |
% 202.63/33.88 | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | (12674) all_58_2 = e1 & op(e2, e3) = e1
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | ALPHA: (12674) implies:
% 202.63/33.88 | | | | | | | | | (12675) op(e2, e3) = e1
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | REF_CLOSE: (167), (12661), (12675), (function-axioms) are
% 202.63/33.88 | | | | | | | | | inconsistent by sub-proof #470.
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | (12676) all_58_3 = e1 & op(e2, e2) = e1
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | ALPHA: (12676) implies:
% 202.63/33.88 | | | | | | | | | (12677) all_58_3 = e1
% 202.63/33.88 | | | | | | | | | (12678) op(e2, e2) = e1
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 202.63/33.88 | | | | | | | | | all_6_1, e2, e1, simplifying with (162), (12658)
% 202.63/33.88 | | | | | | | | | gives:
% 202.63/33.88 | | | | | | | | | (12679) all_52_6 = all_6_1
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 202.63/33.88 | | | | | | | | | all_18_1, e2, e1, simplifying with (162), (12671)
% 202.63/33.88 | | | | | | | | | gives:
% 202.63/33.88 | | | | | | | | | (12680) all_52_6 = all_18_1
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | COMBINE_EQS: (12679), (12680) imply:
% 202.63/33.88 | | | | | | | | | (12681) all_18_1 = all_6_1
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | SIMP: (12681) implies:
% 202.63/33.88 | | | | | | | | | (12682) all_18_1 = all_6_1
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | COMBINE_EQS: (267), (12679) imply:
% 202.63/33.88 | | | | | | | | | (12683) all_54_9 = all_6_1
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | REDUCE: (143), (12679) imply:
% 202.63/33.88 | | | | | | | | | (12684) ~ (all_52_2 = all_6_1)
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | REDUCE: (136), (12679) imply:
% 202.63/33.88 | | | | | | | | | (12685) ~ (all_52_4 = all_6_1)
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | REDUCE: (128), (12679) imply:
% 202.63/33.88 | | | | | | | | | (12686) ~ (all_52_7 = all_6_1)
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | SIMP: (12686) implies:
% 202.63/33.88 | | | | | | | | | (12687) ~ (all_52_7 = all_6_1)
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | REDUCE: (126), (12679) imply:
% 202.63/33.88 | | | | | | | | | (12688) ~ (all_52_14 = all_6_1)
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | SIMP: (12688) implies:
% 202.63/33.88 | | | | | | | | | (12689) ~ (all_52_14 = all_6_1)
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | REDUCE: (12663), (12679) imply:
% 202.63/33.88 | | | | | | | | | (12690) ~ (all_6_1 = e1)
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | REDUCE: (8767), (12679) imply:
% 202.63/33.88 | | | | | | | | | (12691) ~ (all_6_1 = e0)
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | BETA: splitting (46) gives:
% 202.63/33.88 | | | | | | | | |
% 202.63/33.88 | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | (12692) ~ (all_10_2 = e3)
% 202.63/33.88 | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | BETA: splitting (52) gives:
% 202.63/33.88 | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | (12693) ~ (all_14_2 = e2)
% 202.63/33.88 | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | BETA: splitting (73) gives:
% 202.63/33.88 | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | (12694) ~ (all_28_2 = e1)
% 202.63/33.88 | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | REDUCE: (334), (12694) imply:
% 202.63/33.88 | | | | | | | | | | | | (12695) ~ (all_14_2 = e1)
% 202.63/33.88 | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | BETA: splitting (204) gives:
% 202.63/33.88 | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | (12696) all_54_0 = e3
% 202.63/33.88 | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | COMBINE_EQS: (292), (12696) imply:
% 202.63/33.88 | | | | | | | | | | | | | (12697) all_14_2 = e3
% 202.63/33.88 | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | REDUCE: (355), (12697) imply:
% 202.63/33.88 | | | | | | | | | | | | | (12698) $false
% 202.63/33.88 | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | CLOSE: (12698) is inconsistent.
% 202.63/33.88 | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | (12699) ~ (all_54_0 = e3)
% 202.63/33.88 | | | | | | | | | | | | | (12700) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 202.63/33.88 | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | BETA: splitting (12700) gives:
% 202.63/33.88 | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | (12701) all_54_0 = e2
% 202.63/33.88 | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | COMBINE_EQS: (292), (12701) imply:
% 202.63/33.88 | | | | | | | | | | | | | | (12702) all_14_2 = e2
% 202.63/33.88 | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | REDUCE: (12693), (12702) imply:
% 202.63/33.88 | | | | | | | | | | | | | | (12703) $false
% 202.63/33.88 | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | CLOSE: (12703) is inconsistent.
% 202.63/33.88 | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | (12704) ~ (all_54_0 = e2)
% 202.63/33.88 | | | | | | | | | | | | | | (12705) all_54_0 = e1 | all_54_0 = e0
% 202.63/33.88 | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | BETA: splitting (12705) gives:
% 202.63/33.88 | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | (12706) all_54_0 = e1
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | COMBINE_EQS: (292), (12706) imply:
% 202.63/33.88 | | | | | | | | | | | | | | | (12707) all_14_2 = e1
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | REDUCE: (12695), (12707) imply:
% 202.63/33.88 | | | | | | | | | | | | | | | (12708) $false
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | CLOSE: (12708) is inconsistent.
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | (12709) all_54_0 = e0
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | COMBINE_EQS: (292), (12709) imply:
% 202.63/33.88 | | | | | | | | | | | | | | | (12710) all_14_2 = e0
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | COMBINE_EQS: (332), (12710) imply:
% 202.63/33.88 | | | | | | | | | | | | | | | (12711) all_34_2 = e0
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | COMBINE_EQS: (300), (12710) imply:
% 202.63/33.88 | | | | | | | | | | | | | | | (12712) all_44_2 = e0
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | REDUCE: (364), (12710) imply:
% 202.63/33.88 | | | | | | | | | | | | | | | (12713) ~ (all_52_3 = e0)
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | REDUCE: (355), (12710) imply:
% 202.63/33.88 | | | | | | | | | | | | | | | (12714) ~ (e3 = e0)
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | REDUCE: (12693), (12710) imply:
% 202.63/33.88 | | | | | | | | | | | | | | | (12715) ~ (e2 = e0)
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | REDUCE: (51), (12710) imply:
% 202.63/33.88 | | | | | | | | | | | | | | | (12716) op(e3, e3) = e0
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 202.63/33.88 | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | (12717) ~ (all_34_2 = e0)
% 202.63/33.88 | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | REDUCE: (12711), (12717) imply:
% 202.63/33.88 | | | | | | | | | | | | | | | | (12718) $false
% 202.63/33.88 | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | CLOSE: (12718) is inconsistent.
% 202.63/33.88 | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | (12719) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 202.63/33.88 | | | | | | | | | | | | | | | | (all_34_1 = e2) | ( ~ (all_34_0 = e1) & op(e2,
% 202.63/33.88 | | | | | | | | | | | | | | | | e3) = all_34_0 & $i(all_34_0)))
% 202.63/33.88 | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | ALPHA: (12719) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | (12720) op(e0, e3) = all_34_1
% 202.63/33.88 | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 202.63/33.88 | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | (12721) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.63/33.88 | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | BETA: splitting (12721) gives:
% 202.63/33.88 | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | (12722) all_58_2 = e0 & op(e2, e3) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | ALPHA: (12722) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | (12723) all_58_2 = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 202.63/33.88 | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | (12724) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.63/33.88 | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (165), (167),
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | (232), (242), (244), (246), (12661), (12665),
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | (12666), (12716), (12724), (function-axioms) are
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #104.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | (12725) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 202.63/33.88 | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (12725) gives:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | (12726) all_58_7 = e0 & op(e1, e2) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (12726) implies:
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | (12727) op(e1, e2) = e0
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8767), (12727), (function-axioms) are
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 202.63/33.88 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | (12728) all_58_13 = e0 & op(e0, e2) = e0
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | ALPHA: (12728) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | (12729) op(e0, e2) = e0
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | (12730) all_58_15 = e0 & op(e0, e0) = e0
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (12730), (function-axioms) are
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | (12731) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12731) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | (12732) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12732) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | (12733) all_58_9 = e0 & op(e3, e0) = e0
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12733) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | (12734) all_58_9 = e0
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | (12735) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12735) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | (12736) all_58_0 = e1 & op(e3, e3) = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12736) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | (12737) op(e3, e3) = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12716), (12737), (function-axioms) are
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | (12738) all_58_1 = e1 & op(e3, e2) = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12738) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | (12739) all_58_1 = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (12740) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (12716), (12739), (12740),
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | #1344.
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (12741) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12741) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (12742) all_58_4 = e2 & op(e3, e1) = e2
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12742) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (12743) all_58_4 = e2
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12744) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12744) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12745) all_58_1 = e3 & op(e3, e2) = e3
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12745) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12746) all_58_1 = e3
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (12716),
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12734), (12746), (function-axioms) are
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12747) all_58_3 = e3 & op(e2, e2) = e3
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12747) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12748) op(e2, e2) = e3
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (12748), (function-axioms) are
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12749) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12749) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12750) all_58_7 = e3 & op(e1, e2) = e3
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12750) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12751) all_58_7 = e3
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12752) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12752) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12753) all_58_4 = e1 & op(e3, e1) = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12753) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12754) all_58_4 = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (235), (237),
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (242), (244), (246), (356), (12677),
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12678), (12716), (12739), (12751), (12754),
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #103.
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12755) all_58_5 = e1 & op(e2, e1) = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12755) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12756) op(e2, e1) = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12665), (12756), (function-axioms) are
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12757) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12757) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12758) all_58_8 = e1 & op(e1, e1) = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (242), (244), (246),
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780), (12716), (12739), (12758),
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #102.
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12759) all_58_14 = e1 & op(e0, e1) = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12759) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12760) all_58_14 = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12761) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12761) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12762) all_58_12 = e3 & op(e0, e3) = e3
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12762) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12763) all_58_12 = e3
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12764) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12764) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12765) all_58_1 = e2 & op(e3, e2) = e2
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12765) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12766) all_58_1 = e2
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12739), (12766) imply:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12767) e2 = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12767) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12768) e2 = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12743), (12768) imply:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12769) all_58_4 = e1
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (235), (237),
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (242), (244), (246), (356), (12677),
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12678), (12716), (12739), (12751), (12769),
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #103.
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12770) all_58_3 = e2 & op(e2, e2) = e2
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (12770), (function-axioms) are
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12771) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12771) gives:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12772) all_58_7 = e2 & op(e1, e2) = e2
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12772) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12773) all_58_7 = e2
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12751), (12773) imply:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12774) e3 = e2
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12763), (12774) imply:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12775) all_58_12 = e2
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (45), (219), (12692), (12729),
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12760), (12775), (function-axioms) are
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #295.
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12776) all_58_13 = e2 & op(e0, e2) = e2
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12776) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12777) all_58_13 = e2
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (235), (12677), (12739), (12751),
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12777) are inconsistent by sub-proof #359.
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12778) all_58_13 = e3 & op(e0, e2) = e3
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12778) implies:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12779) op(e0, e2) = e3
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12729), (12779), (function-axioms) are
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1584.
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12780) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (12692), (12760), (12780),
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #298.
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.63/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12781) all_58_13 = e3 & op(e0, e2) = e3
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12781) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12782) op(e0, e2) = e3
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12729), (12782), (function-axioms) are
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1584.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (12783) all_58_9 = e2 & op(e3, e0) = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12734), (12783) are inconsistent by
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1915.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (12784) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12784) gives:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | (12785) all_58_4 = e1 & op(e3, e1) = e1
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12785) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | (12786) all_58_4 = e1
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (12787) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12787) gives:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (12788) all_58_0 = e2 & op(e3, e3) = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12788) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (12789) op(e3, e3) = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12716), (12789), (function-axioms) are
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (12790) all_58_1 = e2 & op(e3, e2) = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12790) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (12791) all_58_1 = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (242), (244), (246),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (12716), (12734), (12791), (function-axioms) are
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (12792) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12792) gives:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (12793) all_58_4 = e2 & op(e3, e1) = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12793) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (12794) all_58_4 = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12786), (12794) are inconsistent by
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1647.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (12795) all_58_9 = e2 & op(e3, e0) = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12734), (12795) are inconsistent by
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1915.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | (12796) all_58_9 = e1 & op(e3, e0) = e1
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12796) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | (12797) all_58_9 = e1
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (12734), (12797),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | #101.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | (12798) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12798) gives:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (12799) all_58_10 = e0 & op(e2, e0) = e0
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12799) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (12800) all_58_10 = e0
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (12801) op(e2, e0) = e0
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (51),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (76), (91), (97), (110), (112), (113), (117),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (120), (123), (133), (134), (135), (145), (146),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (189), (190), (192), (193),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (195), (198), (200), (201), (202), (203), (214),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (233), (235), (237), (238), (239),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (245), (246),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (254), (257), (258), (267), (270), (279), (280),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (281), (282), (298), (316), (328), (355), (356),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (358), (373), (392), (393), (394), (8765), (8767),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (8768), (8780), (8790), (8791), (8792), (8793),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (8794), (12658), (12660), (12661), (12662),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (12663), (12665), (12666), (12677), (12678),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (12683), (12685), (12687), (12689), (12690),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (12692), (12712), (12713), (12716), (12720),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (12800), (12801), (function-axioms) are
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (12802) all_58_11 = e0 & op(e1, e0) = e0
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12802) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | (12803) all_58_11 = e0
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | (12804) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12804) gives:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (12805) all_58_6 = e1 & op(e1, e3) = e1
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12805) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (12806) all_58_6 = e1
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (12807) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12716), (12723), (12807), (function-axioms)
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #926.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (12808) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12808) gives:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12809) all_58_6 = e2 & op(e1, e3) = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12809) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12810) all_58_6 = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12806), (12810) are inconsistent by
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1857.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12811) all_58_12 = e2 & op(e0, e3) = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12811) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12812) all_58_12 = e2
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12813) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12813) gives:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12814) all_58_0 = e3 & op(e3, e3) = e3
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12814) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12815) op(e3, e3) = e3
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12716), (12815), (function-axioms) are
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12816) all_58_2 = e3 & op(e2, e3) = e3
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12723), (12816) are inconsistent by
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1573.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12817) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12817) gives:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12818) all_58_6 = e3 & op(e1, e3) = e3
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12818) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12819) all_58_6 = e3
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (162), (164), (165), (167), (224),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (8780), (12661), (12663), (12665), (12666),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12677), (12803), (12819), (function-axioms) are
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #83.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12820) all_58_12 = e3 & op(e0, e3) = e3
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12820) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12821) all_58_12 = e3
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12812), (12821) are inconsistent by
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1405.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (12822) all_58_7 = e1 & op(e1, e2) = e1
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12822) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (12823) op(e1, e2) = e1
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12663), (12823), (function-axioms) are
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | (12824) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12824) gives:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (12825) all_58_8 = e1 & op(e1, e1) = e1
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12825) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (12826) all_58_8 = e1
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (12826) imply:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (12827) e1 = e0
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (12827), (function-axioms) are
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (12828) all_58_11 = e1 & op(e1, e0) = e1
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (12803), (12828),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | | #84.
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | (12829) all_58_3 = e0 & op(e2, e2) = e0
% 202.87/33.89 | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | ALPHA: (12829) implies:
% 202.87/33.89 | | | | | | | | | | | | | | | | | | (12830) all_58_3 = e0
% 202.87/33.89 | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.87/33.89 | | | | | | | | | | | | | | | | | | (12666), (12830), (function-axioms) are
% 202.87/33.89 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 202.87/33.89 | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | End of split
% 202.87/33.89 | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.89 | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | (12831) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 202.87/33.89 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 202.87/33.89 | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | BETA: splitting (12831) gives:
% 202.87/33.89 | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.89 | | | | | | | | | | | | | | | | | |
% 202.87/33.89 | | | | | | | | | | | | | | | | | | (12832) all_58_5 = e0 & op(e2, e1) = e0
% 202.87/33.90 | | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | | ALPHA: (12832) implies:
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (12833) op(e2, e1) = e0
% 202.87/33.90 | | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (12833), (function-axioms) are
% 202.87/33.90 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 202.87/33.90 | | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.90 | | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (12834) all_58_10 = e0 & op(e2, e0) = e0
% 202.87/33.90 | | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | | ALPHA: (12834) implies:
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (12835) all_58_10 = e0
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (12836) op(e2, e0) = e0
% 202.87/33.90 | | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (51),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (76), (91), (97), (110), (112), (113), (117),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (120), (123), (133), (134), (135), (145), (146),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (167), (168), (169), (189), (190), (192), (193),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (195), (198), (200), (201), (202), (203), (214),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (230), (232), (233), (235), (237), (238), (239),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (245), (246),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (254), (257), (258), (267), (270), (279), (280),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (281), (282), (298), (316), (328), (355), (356),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (358), (373), (392), (393), (394), (8765), (8767),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (8768), (8780), (8790), (8791), (8792), (8793),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (8794), (12658), (12660), (12661), (12662),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (12663), (12665), (12666), (12677), (12678),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (12683), (12685), (12687), (12689), (12690),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (12692), (12712), (12713), (12716), (12720),
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (12835), (12836), (function-axioms) are
% 202.87/33.90 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 202.87/33.90 | | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | End of split
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | End of split
% 202.87/33.90 | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | End of split
% 202.87/33.90 | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | End of split
% 202.87/33.90 | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | End of split
% 202.87/33.90 | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | End of split
% 202.87/33.90 | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | Case 2:
% 202.87/33.90 | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | (12837) all_28_2 = e1
% 202.87/33.90 | | | | | | | | | | | | (12838) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 202.87/33.90 | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 202.87/33.90 | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0)))
% 202.87/33.90 | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | ALPHA: (12838) implies:
% 202.87/33.90 | | | | | | | | | | | | (12839) op(e1, e3) = all_28_1
% 202.87/33.90 | | | | | | | | | | | | (12840) ~ (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 202.87/33.90 | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0))
% 202.87/33.90 | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | COMBINE_EQS: (334), (12837) imply:
% 202.87/33.90 | | | | | | | | | | | | (12841) all_14_2 = e1
% 202.87/33.90 | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | SIMP: (12841) implies:
% 202.87/33.90 | | | | | | | | | | | | (12842) all_14_2 = e1
% 202.87/33.90 | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | COMBINE_EQS: (323), (12842) imply:
% 202.87/33.90 | | | | | | | | | | | | (12843) all_36_2 = e1
% 202.87/33.90 | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | REDUCE: (362), (12842) imply:
% 202.87/33.90 | | | | | | | | | | | | (12844) ~ (all_52_2 = e1)
% 202.87/33.90 | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | REDUCE: (368), (12842) imply:
% 202.87/33.90 | | | | | | | | | | | | (12845) ~ (all_52_8 = e1)
% 202.87/33.90 | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | REDUCE: (355), (12842) imply:
% 202.87/33.90 | | | | | | | | | | | | (12846) ~ (e3 = e1)
% 202.87/33.90 | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | REDUCE: (51), (12842) imply:
% 202.87/33.90 | | | | | | | | | | | | (12847) op(e3, e3) = e1
% 202.87/33.90 | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | BETA: splitting (228) gives:
% 202.87/33.90 | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | Case 1:
% 202.87/33.90 | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | (12848) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 202.87/33.90 | | | | | | | | | | | | | & op(e2, e1) = e1)
% 202.87/33.90 | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | REF_CLOSE: (165), (169), (12665), (12845), (12848),
% 202.87/33.90 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.87/33.90 | | | | | | | | | | | | | #301.
% 202.87/33.90 | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | Case 2:
% 202.87/33.90 | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | (12849) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 202.87/33.90 | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 202.87/33.90 | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | BETA: splitting (12849) gives:
% 202.87/33.90 | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | Case 1:
% 202.87/33.90 | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | (12850) all_58_8 = e1 & op(e1, e1) = e1
% 202.87/33.90 | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | ALPHA: (12850) implies:
% 202.87/33.90 | | | | | | | | | | | | | | (12851) all_58_8 = e1
% 202.87/33.90 | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | COMBINE_EQS: (8780), (12851) imply:
% 202.87/33.90 | | | | | | | | | | | | | | (12852) e1 = e0
% 202.87/33.90 | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.87/33.90 | | | | | | | | | | | | | | (12666), (12677), (12852), (function-axioms) are
% 202.87/33.90 | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 202.87/33.90 | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | Case 2:
% 202.87/33.90 | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | (12853) all_58_14 = e1 & op(e0, e1) = e1
% 202.87/33.90 | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | ALPHA: (12853) implies:
% 202.87/33.90 | | | | | | | | | | | | | | (12854) all_58_14 = e1
% 202.87/33.90 | | | | | | | | | | | | | | (12855) op(e0, e1) = e1
% 202.87/33.90 | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 202.87/33.90 | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | Case 1:
% 202.87/33.90 | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | (12856) ~ (all_36_2 = e1)
% 202.87/33.90 | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | REDUCE: (12843), (12856) imply:
% 202.87/33.90 | | | | | | | | | | | | | | | (12857) $false
% 202.87/33.90 | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | CLOSE: (12857) is inconsistent.
% 202.87/33.90 | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | Case 2:
% 202.87/33.90 | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | (12858) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 202.87/33.90 | | | | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 202.87/33.90 | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 202.87/33.90 | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | ALPHA: (12858) implies:
% 202.87/33.90 | | | | | | | | | | | | | | | (12859) op(e1, e3) = all_36_1
% 202.87/33.90 | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 202.87/33.90 | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | Case 1:
% 202.87/33.90 | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | (12860) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 202.87/33.90 | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 202.87/33.90 | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (12663), (12839), (12844), (12859),
% 202.87/33.90 | | | | | | | | | | | | | | | | (12860), (function-axioms) are inconsistent by
% 202.87/33.90 | | | | | | | | | | | | | | | | sub-proof #300.
% 202.87/33.90 | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | Case 2:
% 202.87/33.90 | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | (12861) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 202.87/33.90 | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 202.87/33.90 | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | BETA: splitting (12861) gives:
% 202.87/33.90 | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12862) all_58_8 = e1 & op(e1, e1) = e1
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | ALPHA: (12862) implies:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12863) all_58_8 = e1
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (12863) imply:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12864) e1 = e0
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12666), (12677), (12864), (function-axioms) are
% 202.87/33.90 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | Case 2:
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12865) all_58_11 = e1 & op(e1, e0) = e1
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | ALPHA: (12865) implies:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12866) all_58_11 = e1
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12867) op(e1, e0) = e1
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1, e1,
% 202.87/33.90 | | | | | | | | | | | | | | | | | e1, e0, simplifying with (8762), (12855) gives:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12868) all_4_1 = e1
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 202.87/33.90 | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (12867) gives:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12869) all_52_14 = e1
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 202.87/33.90 | | | | | | | | | | | | | | | | | all_28_1, e3, e1, simplifying with (163), (12839)
% 202.87/33.90 | | | | | | | | | | | | | | | | | gives:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12870) all_52_2 = all_28_1
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 202.87/33.90 | | | | | | | | | | | | | | | | | all_36_1, e3, e1, simplifying with (163), (12859)
% 202.87/33.90 | | | | | | | | | | | | | | | | | gives:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12871) all_52_2 = all_36_1
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | COMBINE_EQS: (12870), (12871) imply:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12872) all_36_1 = all_28_1
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (12870) imply:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12873) all_54_8 = all_28_1
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | REDUCE: (12684), (12870) imply:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12874) ~ (all_28_1 = all_6_1)
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | REDUCE: (12844), (12870) imply:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12875) ~ (all_28_1 = e1)
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | REDUCE: (8766), (12870) imply:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12876) ~ (all_28_1 = e0)
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | REDUCE: (8791), (12868) imply:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12877) ~ (all_52_3 = e1)
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | REDUCE: (112), (12869) imply:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12878) ~ (all_52_12 = e1)
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | REDUCE: (8796), (12868) imply:
% 202.87/33.90 | | | | | | | | | | | | | | | | | (12879) ~ (all_10_2 = e1)
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 202.87/33.90 | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | Case 1:
% 202.87/33.90 | | | | | | | | | | | | | | | | | |
% 202.87/33.90 | | | | | | | | | | | | | | | | | | (12880) all_54_15 = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (12880) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | (12881) all_10_2 = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | REDUCE: (12692), (12881) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | (12882) $false
% 202.88/33.90 | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | CLOSE: (12882) is inconsistent.
% 202.88/33.90 | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | (12883) ~ (all_54_15 = e3)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | (12884) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | BETA: splitting (12884) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | (12885) all_54_15 = e2
% 202.88/33.90 | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (12885) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | (12886) all_10_2 = e2
% 202.88/33.90 | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (12886) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | (12887) all_30_2 = e2
% 202.88/33.90 | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (12886) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | (12888) all_42_2 = e2
% 202.88/33.90 | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (12886) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | (12889) all_56_15 = e2
% 202.88/33.90 | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (12886) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | (12890) ~ (all_52_3 = e2)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | REDUCE: (384), (12886) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | (12891) ~ (all_52_7 = e2)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | REDUCE: (392), (12886) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | (12892) ~ (all_52_12 = e2)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | REDUCE: (393), (12886) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | (12893) ~ (all_52_13 = e2)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | REDUCE: (12692), (12886) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | (12894) ~ (e3 = e2)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | REDUCE: (45), (12886) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | (12895) op(e0, e0) = e2
% 202.88/33.90 | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | (12896) ~ (all_42_2 = e2)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (12888), (12896) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | (12897) $false
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | CLOSE: (12897) is inconsistent.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | (12898) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | ALPHA: (12898) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | (12899) op(e2, e0) = all_42_1
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | (12900) ~ (all_30_2 = e2)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12887), (12900) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | (12901) $false
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | CLOSE: (12901) is inconsistent.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | (12902) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0)))
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12902) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | (12903) op(e2, e0) = all_30_1
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (12903)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | (12904) all_52_13 = all_30_1
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (12899)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | (12905) all_52_13 = all_42_1
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12904), (12905) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | (12906) all_42_1 = all_30_1
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | SIMP: (12906) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | (12907) all_42_1 = all_30_1
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | (12908) all_54_2 = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (12908) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | (12909) all_52_8 = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12909) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | (12910) all_52_8 = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (12910) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | (12911) ~ (all_52_4 = e3)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (12910) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | (12912) ~ (all_52_9 = e3)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12912) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | (12913) ~ (all_52_9 = e3)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (12910) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | (12914) ~ (all_52_12 = e3)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12914) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | (12915) ~ (all_52_12 = e3)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | (12916) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12916) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | (12917) all_58_4 = e3 & op(e3, e1) = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12917) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | (12918) all_58_4 = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | (12919) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12919) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (12920) all_58_9 = e3 & op(e3, e0) = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12920) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (12921) all_58_9 = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (240), (244), (12847),
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (12918), (12921), (function-axioms) are
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #148.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (12922) all_58_10 = e3 & op(e2, e0) = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12922) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (12923) all_58_10 = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12924) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12924) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12925) all_58_2 = e0 & op(e2, e3) = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12925) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12926) op(e2, e3) = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12927) all_54_3 = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (12915), (12927) are inconsistent by
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1878.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12928) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12928) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12929) all_54_3 = e2
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (12892), (12929) are inconsistent by
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1699.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12930) all_54_3 = e1 | all_54_3 = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12930) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12931) all_54_3 = e1
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (12878), (12931) are inconsistent by
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1714.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12932) all_54_3 = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (12932) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12933) all_52_12 = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12933) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12934) all_52_12 = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (12934) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12935) ~ (all_52_4 = e0)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12936) all_54_1 = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (12911), (12936) are inconsistent by
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1709.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12937) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12937) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12938) all_54_1 = e2
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (12938) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12939) all_52_4 = e2
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12939) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12940) all_52_4 = e2
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12685), (12940) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12941) ~ (all_6_1 = e2)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12941) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12942) ~ (all_6_1 = e2)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12943) all_54_9 = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12683), (12943) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12944) all_6_1 = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12944) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12945) all_6_1 = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12874), (12945) imply:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12946) ~ (all_28_1 = e3)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (12840), (12873), (12875), (12876),
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12926), (12946), (function-axioms) are
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #201.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12947) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12947) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12948) all_54_9 = e2
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12683), (12942), (12948) are inconsistent by
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #450.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12949) all_54_9 = e1 | all_54_9 = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (8767), (12663), (12949) are inconsistent
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1242.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12950) all_54_1 = e1 | all_54_1 = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (12662), (12935), (12950) are inconsistent
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1776.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12951) all_58_3 = e0 & op(e2, e2) = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12951) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12952) all_58_3 = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12952), (function-axioms) are
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12953) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12953) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12954) all_58_5 = e0 & op(e2, e1) = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12954) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12955) op(e2, e1) = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (12955), (function-axioms) are
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12956) all_58_10 = e0 & op(e2, e0) = e0
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12923), (12956) are inconsistent by
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1585.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | (12957) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (12692), (12866), (12957),
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | | #82.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | (12958) all_58_5 = e3 & op(e2, e1) = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12958) implies:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | (12959) op(e2, e1) = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12913), (12959), (function-axioms) are
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | (12960) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12960) gives:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | (12961) all_58_8 = e3 & op(e1, e1) = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (12961) are inconsistent by sub-proof
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | #251.
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | (12962) all_58_14 = e3 & op(e0, e1) = e3
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.90 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12962) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | (12963) all_58_14 = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12854), (12963) are inconsistent by
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #985.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | (12964) ~ (all_54_2 = e3)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | (12965) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (281), (12964) imply:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | (12966) ~ (all_52_8 = e3)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12965) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | (12967) all_54_2 = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (12967) imply:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | (12968) all_52_8 = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12968) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | (12969) all_52_8 = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (12969) imply:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | (12970) ~ (all_52_4 = e2)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (12969) imply:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | (12971) ~ (all_52_9 = e2)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12971) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | (12972) ~ (all_52_9 = e2)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | (12973) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12973) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | (12974) all_58_1 = e2 & op(e3, e2) = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (12970), (12974), (function-axioms) are
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | (12975) all_58_3 = e2 & op(e2, e2) = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (12975), (function-axioms) are
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | (12976) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12976) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | (12977) all_58_7 = e2 & op(e1, e2) = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12977) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | (12978) all_58_7 = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (12979) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (12847), (12970), (12979),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | #81.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (12980) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12980) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12981) all_58_4 = e2 & op(e3, e1) = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12981) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12982) all_58_4 = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12983) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12983) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12984) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12984) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12985) all_58_6 = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12986) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12986) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12987) all_58_0 = e2 & op(e3, e3) = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12987) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12988) op(e3, e3) = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (164),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (228), (230), (232), (233), (236),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (245), (246),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (356), (8780), (12661), (12665), (12666),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12677), (12893), (12899), (12903), (12978),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12982), (12988), (function-axioms) are
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #78.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12989) all_58_2 = e2 & op(e2, e3) = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12989) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12990) all_58_2 = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12991) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12991) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12992) all_58_4 = e3 & op(e3, e1) = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (223), (224),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (12854), (12972), (12978), (12985),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12992), (function-axioms) are inconsistent by
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12993) all_58_5 = e3 & op(e2, e1) = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12993) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12994) op(e2, e1) = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12995) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (12847), (12990), (12995),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1534.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12996) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12996) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12997) all_58_6 = e0 & op(e1, e3) = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12985), (12997) are inconsistent by
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1452.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12998) all_58_12 = e0 & op(e0, e3) = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12998) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12999) op(e0, e3) = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13000) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (164), (165), (167), (232), (12661),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12990), (13000),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #76.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13001) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13001) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13002) all_58_5 = e0 & op(e2, e1) = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13002) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13003) op(e2, e1) = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (13003), (function-axioms) are
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13004) all_58_10 = e0 & op(e2, e0) = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13004) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13005) all_58_10 = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13006) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13006) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13007) all_58_9 = e3 & op(e3, e0) = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13007) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13008) all_58_9 = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13009) op(e3, e0) = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13010) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13010) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13011) all_58_12 = e3 & op(e0, e3) = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13011) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13012) all_58_12 = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (239), (12847), (12985), (12990),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13012), (function-axioms) are inconsistent by
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1531.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13013) all_58_13 = e3 & op(e0, e2) = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13013) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13014) op(e0, e2) = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13015) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13015) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13016) all_58_0 = e0 & op(e3, e3) = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13016) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13017) op(e3, e3) = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12847), (13017), (function-axioms) are
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13018) all_58_1 = e0 & op(e3, e2) = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13018) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13019) all_58_1 = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13020) op(e3, e2) = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13021) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13021) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13022) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12889), (13014), (13022), (function-axioms)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #418.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13023) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12660), (12972), (13023),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #75.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13024) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13024) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13025) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13025) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13026) op(e3, e0) = all_56_2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13027) all_56_2 = e2 | ( ~ (all_56_0 = e0) & op(e3, e2) =
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13028) all_54_13 = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (13028) imply:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13029) all_52_7 = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13029) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13030) all_52_7 = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (13030) imply:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13031) ~ (all_52_3 = e3)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13032) all_54_12 = e3
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (13031), (13032) are inconsistent by
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1471.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13033) ~ (all_54_12 = e3)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13034) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13034) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13035) all_54_12 = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12890), (13035) are inconsistent by
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1470.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13036) ~ (all_54_12 = e2)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13037) all_54_12 = e1 | all_54_12 = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13027) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13038) all_56_2 = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13026), (13038) imply:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13039) op(e3, e0) = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13037) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13040) all_54_12 = e1
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12877), (13040) are inconsistent by
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1469.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13041) all_54_12 = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (13041) imply:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13042) all_52_3 = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13042) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13043) all_52_3 = e0
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13031), (13043) imply:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13044) ~ (e3 = e0)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12890), (13043) imply:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13045) ~ (e2 = e0)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e0,
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (13009), (13039) gives:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13046) e3 = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13008), (13046) imply:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13047) all_58_9 = e2
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (165), (216),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (223), (224), (226), (229), (246), (358),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780), (12847), (12854), (12895), (12972),
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12978), (13019), (13047), (function-axioms) are
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #74.
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13048) ~ (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0)
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13048) implies:
% 202.88/33.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13049) ~ (all_56_0 = e0)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13050) op(e3, e2) = all_56_0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13020), (13049), (13050), (function-axioms) are
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (159), (256), (12664), (12891), (12999),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (function-axioms) are inconsistent by
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #199.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13052) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13052) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13053) op(e2, e3) = all_56_3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13054) all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12661), (12994), (13053), (13054),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #291.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13055) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13055) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13056) all_58_4 = e0 & op(e3, e1) = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8768), (13056), (function-axioms) are
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #700.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13057) all_58_9 = e0 & op(e3, e0) = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13057) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13058) all_58_9 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13008), (13058) are inconsistent by
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1606.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13059) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (12692), (12854), (13059),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #298.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13060) all_58_10 = e3 & op(e2, e0) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13060) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13061) all_58_10 = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13005), (13061) are inconsistent by
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1554.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13062) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (12692), (12866), (13062),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #82.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13063) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13063) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13064) all_58_8 = e3 & op(e1, e1) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13064) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13065) all_58_8 = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12978), (12985), (13065) are inconsistent by
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1451.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13066) all_58_14 = e3 & op(e0, e1) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13066) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13067) all_58_14 = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12854), (13067) are inconsistent by
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #985.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13068) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13068) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13069) all_58_6 = e2 & op(e1, e3) = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12985), (13069) are inconsistent by
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1852.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13070) all_58_12 = e2 & op(e0, e3) = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13070) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13071) all_58_12 = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (216), (219),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (12692), (12854), (13071),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #293.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13072) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13072) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13073) all_58_7 = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12978), (13073) are inconsistent by
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1627.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13074) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13074) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13075) all_58_8 = e3 & op(e1, e1) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13075) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13076) all_58_8 = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (13076) are inconsistent by sub-proof
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1630.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13077) all_58_11 = e3 & op(e1, e0) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13077) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13078) all_58_11 = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12866), (13078) are inconsistent by
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #799.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13079) all_58_9 = e2 & op(e3, e0) = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13079) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13080) all_58_9 = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13081) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13081) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13082) all_58_0 = e0 & op(e3, e3) = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13082) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13083) op(e3, e3) = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12847), (13083), (function-axioms) are
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13084) all_58_1 = e0 & op(e3, e2) = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13084) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13085) all_58_1 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (165), (216),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (223), (224), (226), (229), (246), (358),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780), (12847), (12854), (12895), (12972),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12978), (13080), (13085), (function-axioms) are
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #74.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13086) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13086) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13087) all_58_4 = e0 & op(e3, e1) = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8768), (13087), (function-axioms) are
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #700.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13088) all_58_9 = e0 & op(e3, e0) = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13080), (13088) are inconsistent by
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1257.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | (13089) all_58_13 = e2 & op(e0, e2) = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13089) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | (13090) all_58_13 = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (13091) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (12847), (12970), (13091),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | #81.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (13092) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13092) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13093) all_58_4 = e2 & op(e3, e1) = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13093) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13094) all_58_4 = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13095) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13095) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13096) all_58_12 = e3 & op(e0, e3) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13096) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13097) all_58_12 = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13098) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13098) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13099) all_58_2 = e2 & op(e2, e3) = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13099) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13100) all_58_2 = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13101) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (164), (165), (167), (232), (12661),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (13100), (13101),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #76.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13102) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13102) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13103) all_58_5 = e0 & op(e2, e1) = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13103) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13104) op(e2, e1) = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (13104), (function-axioms) are
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13105) all_58_10 = e0 & op(e2, e0) = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13105) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13106) all_58_10 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13107) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (12847), (13100), (13107),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1534.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13108) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13108) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13109) all_58_6 = e0 & op(e1, e3) = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13109) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13110) all_58_6 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13111) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13111) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13112) all_58_9 = e3 & op(e3, e0) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13112) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13113) all_58_9 = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13114) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13114) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13115) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13115) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13116) all_58_6 = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (239), (12847), (13097), (13100),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13116), (function-axioms) are inconsistent by
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1531.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13117) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13117) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13118) all_58_7 = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13119) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13119) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120) all_58_6 = e2 & op(e1, e3) = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13110), (13120) are inconsistent by
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1837.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13121) all_58_7 = e2 & op(e1, e2) = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13121) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13122) all_58_7 = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13118), (13122) imply:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13123) e3 = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13123) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13124) e3 = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13113), (13124) imply:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13125) all_58_9 = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (165),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (216), (219), (220), (224), (225), (226),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (236), (237), (239), (240), (242), (243),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (356), (358), (8768), (8780),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12692), (12847), (12854), (12866), (12895),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12972), (13090), (13125), (function-axioms) are
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13126) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (227), (228),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (12895), (13094), (13106), (13113),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13126), (function-axioms) are inconsistent by
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #89.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13127) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13127) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13128) all_58_8 = e3 & op(e1, e1) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13128) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13129) all_58_8 = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (13129) imply:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13130) e3 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13130) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13131) e3 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13097), (13131) imply:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13132) all_58_12 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (162),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (219), (228), (232), (235),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (356), (8767), (8780), (12661),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (12678), (12692),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13090), (13094), (13132), (function-axioms) are
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #68.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13133) all_58_11 = e3 & op(e1, e0) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (243), (245), (12847),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12866), (13097), (13110), (13133),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #67.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13134) all_58_10 = e3 & op(e2, e0) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13134) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13135) all_58_10 = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13106), (13135) imply:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13136) e3 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13136) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13137) e3 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13097), (13137) imply:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13138) all_58_12 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (162),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (219), (228), (232), (235),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (356), (8767), (8780), (12661),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (12678), (12692),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13090), (13094), (13138), (function-axioms) are
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #68.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13139) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13139) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13140) all_58_11 = e3 & op(e1, e0) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (243), (245), (12847),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12866), (13097), (13110), (13140),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #67.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13141) all_58_15 = e3 & op(e0, e0) = e3
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (12692), (13141), (function-axioms) are
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13142) all_58_12 = e0 & op(e0, e3) = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13142) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13143) all_58_12 = e0
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (162),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (219), (228), (232), (235),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (356), (8767), (8780), (12661),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (12678), (12692),
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13090), (13094), (13143), (function-axioms) are
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #68.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13144) all_58_3 = e2 & op(e2, e2) = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (13144), (function-axioms) are
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13145) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13145) gives:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13146) all_58_5 = e2 & op(e2, e1) = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13146) implies:
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13147) op(e2, e1) = e2
% 202.88/33.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12972), (13147), (function-axioms) are
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #254.
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13148) all_58_10 = e2 & op(e2, e0) = e2
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13148) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13149) op(e2, e0) = e2
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (12893), (12899), (12903), (13149),
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1425.
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13150) all_58_13 = e3 & op(e0, e2) = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13150) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13151) all_58_13 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13090), (13151) are inconsistent by
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1825.
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13152) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13152) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13153) all_58_14 = e3 & op(e0, e1) = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12854), (13153) are inconsistent by
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #639.
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13154) all_58_15 = e3 & op(e0, e0) = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (12692), (13154), (function-axioms) are
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13155) all_58_9 = e2 & op(e3, e0) = e2
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13155) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13156) all_58_9 = e2
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (165),
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (216), (219), (220), (224), (225), (226),
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (236), (237), (239), (240), (242), (243),
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (356), (358), (8768), (8780),
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12692), (12847), (12854), (12866), (12895),
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12972), (13090), (13156), (function-axioms) are
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | (13157) all_54_2 = e1 | all_54_2 = e0
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8768), (12845), (13157) are inconsistent
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #188.
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | (13158) all_54_15 = e1 | all_54_15 = e0
% 202.88/33.93 | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (358), (12879), (13158) are inconsistent by
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | sub-proof #415.
% 202.88/33.93 | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | (13159) all_14_2 = e2
% 202.88/33.93 | | | | | | | | | | | (13160) op(e2, e3) = all_14_1 & $i(all_14_1) & ( ~
% 202.88/33.93 | | | | | | | | | | | (all_14_1 = e1) | ( ~ (all_14_0 = e0) & op(e1,
% 202.88/33.93 | | | | | | | | | | | e3) = all_14_0 & $i(all_14_0)))
% 202.88/33.93 | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | ALPHA: (13160) implies:
% 202.88/33.93 | | | | | | | | | | | (13161) op(e2, e3) = all_14_1
% 202.88/33.93 | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | COMBINE_EQS: (339), (13159) imply:
% 202.88/33.93 | | | | | | | | | | | (13162) all_22_2 = e2
% 202.88/33.93 | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | COMBINE_EQS: (290), (13159) imply:
% 202.88/33.93 | | | | | | | | | | | (13163) all_56_12 = e2
% 202.88/33.93 | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | REDUCE: (360), (13159) imply:
% 202.88/33.93 | | | | | | | | | | | (13164) ~ (all_52_1 = e2)
% 202.88/33.93 | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | REDUCE: (362), (13159) imply:
% 202.88/33.93 | | | | | | | | | | | (13165) ~ (all_52_2 = e2)
% 202.88/33.93 | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | REDUCE: (364), (13159) imply:
% 202.88/33.93 | | | | | | | | | | | (13166) ~ (all_52_3 = e2)
% 202.88/33.93 | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | REDUCE: (366), (13159) imply:
% 202.88/33.93 | | | | | | | | | | | (13167) ~ (all_52_4 = e2)
% 202.88/33.93 | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | REDUCE: (368), (13159) imply:
% 202.88/33.93 | | | | | | | | | | | (13168) ~ (all_52_8 = e2)
% 202.88/33.93 | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | REDUCE: (355), (13159) imply:
% 202.88/33.93 | | | | | | | | | | | (13169) ~ (e3 = e2)
% 202.88/33.93 | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | REDUCE: (51), (13159) imply:
% 202.88/33.93 | | | | | | | | | | | (13170) op(e3, e3) = e2
% 202.88/33.93 | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | BETA: splitting (64) gives:
% 202.88/33.93 | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | (13171) ~ (all_22_2 = e2)
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | REDUCE: (13162), (13171) imply:
% 202.88/33.93 | | | | | | | | | | | | (13172) $false
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | CLOSE: (13172) is inconsistent.
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | (13173) op(e2, e3) = all_22_1 & $i(all_22_1) & ( ~
% 202.88/33.93 | | | | | | | | | | | | (all_22_1 = e0) | ( ~ (all_22_0 = e1) & op(e0,
% 202.88/33.93 | | | | | | | | | | | | e3) = all_22_0 & $i(all_22_0)))
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | ALPHA: (13173) implies:
% 202.88/33.93 | | | | | | | | | | | | (13174) op(e2, e3) = all_22_1
% 202.88/33.93 | | | | | | | | | | | | (13175) ~ (all_22_1 = e0) | ( ~ (all_22_0 = e1) & op(e0,
% 202.88/33.93 | | | | | | | | | | | | e3) = all_22_0 & $i(all_22_0))
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 202.88/33.93 | | | | | | | | | | | | all_14_1, e3, e2, simplifying with (167), (13161)
% 202.88/33.93 | | | | | | | | | | | | gives:
% 202.88/33.93 | | | | | | | | | | | | (13176) all_52_1 = all_14_1
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 202.88/33.93 | | | | | | | | | | | | all_22_1, e3, e2, simplifying with (167), (13174)
% 202.88/33.93 | | | | | | | | | | | | gives:
% 202.88/33.93 | | | | | | | | | | | | (13177) all_52_1 = all_22_1
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | COMBINE_EQS: (13176), (13177) imply:
% 202.88/33.93 | | | | | | | | | | | | (13178) all_22_1 = all_14_1
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | SIMP: (13178) implies:
% 202.88/33.93 | | | | | | | | | | | | (13179) all_22_1 = all_14_1
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | COMBINE_EQS: (279), (13176) imply:
% 202.88/33.93 | | | | | | | | | | | | (13180) all_54_4 = all_14_1
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | REDUCE: (149), (13176) imply:
% 202.88/33.93 | | | | | | | | | | | | (13181) ~ (all_52_2 = all_14_1)
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | SIMP: (13181) implies:
% 202.88/33.93 | | | | | | | | | | | | (13182) ~ (all_52_2 = all_14_1)
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | REDUCE: (148), (13176) imply:
% 202.88/33.93 | | | | | | | | | | | | (13183) ~ (all_52_3 = all_14_1)
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | SIMP: (13183) implies:
% 202.88/33.93 | | | | | | | | | | | | (13184) ~ (all_52_3 = all_14_1)
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | REDUCE: (146), (13176) imply:
% 202.88/33.93 | | | | | | | | | | | | (13185) ~ (all_52_9 = all_14_1)
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | SIMP: (13185) implies:
% 202.88/33.93 | | | | | | | | | | | | (13186) ~ (all_52_9 = all_14_1)
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | REDUCE: (145), (13176) imply:
% 202.88/33.93 | | | | | | | | | | | | (13187) ~ (all_52_13 = all_14_1)
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | SIMP: (13187) implies:
% 202.88/33.93 | | | | | | | | | | | | (13188) ~ (all_52_13 = all_14_1)
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | REDUCE: (13164), (13176) imply:
% 202.88/33.93 | | | | | | | | | | | | (13189) ~ (all_14_1 = e2)
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | REDUCE: (12661), (13176) imply:
% 202.88/33.93 | | | | | | | | | | | | (13190) ~ (all_14_1 = e1)
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | BETA: splitting (76) gives:
% 202.88/33.93 | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | (13191) ~ (all_30_2 = e2)
% 202.88/33.93 | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | REDUCE: (328), (13191) imply:
% 202.88/33.93 | | | | | | | | | | | | | (13192) ~ (all_10_2 = e2)
% 202.88/33.93 | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | BETA: splitting (189) gives:
% 202.88/33.93 | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | (13193) all_54_15 = e3
% 202.88/33.93 | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | COMBINE_EQS: (298), (13193) imply:
% 202.88/33.93 | | | | | | | | | | | | | | (13194) all_10_2 = e3
% 202.88/33.93 | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | REDUCE: (12692), (13194) imply:
% 202.88/33.93 | | | | | | | | | | | | | | (13195) $false
% 202.88/33.93 | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | CLOSE: (13195) is inconsistent.
% 202.88/33.93 | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | (13196) ~ (all_54_15 = e3)
% 202.88/33.93 | | | | | | | | | | | | | | (13197) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 202.88/33.93 | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | BETA: splitting (13197) gives:
% 202.88/33.93 | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | (13198) all_54_15 = e2
% 202.88/33.93 | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | COMBINE_EQS: (298), (13198) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | (13199) all_10_2 = e2
% 202.88/33.93 | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | REDUCE: (13192), (13199) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | (13200) $false
% 202.88/33.93 | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | CLOSE: (13200) is inconsistent.
% 202.88/33.93 | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | (13201) ~ (all_54_15 = e2)
% 202.88/33.93 | | | | | | | | | | | | | | | (13202) all_54_15 = e1 | all_54_15 = e0
% 202.88/33.93 | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | BETA: splitting (13202) gives:
% 202.88/33.93 | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | (13203) all_54_15 = e1
% 202.88/33.93 | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (13203) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | (13204) all_10_2 = e1
% 202.88/33.93 | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (13204) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | (13205) all_56_15 = e1
% 202.88/33.93 | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | REDUCE: (12692), (13204) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | (13206) ~ (e3 = e1)
% 202.88/33.93 | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | REDUCE: (45), (13204) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | (13207) op(e0, e0) = e1
% 202.88/33.93 | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | (13208) all_58_15 = e0 & op(e0, e0) = e0
% 202.88/33.93 | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (13208), (function-axioms) are
% 202.88/33.93 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 202.88/33.93 | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | (13209) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.88/33.93 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 202.88/33.93 | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 202.88/33.93 | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 202.88/33.93 | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | ALPHA: (13209) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | (13210) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 202.88/33.93 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 202.88/33.93 | | | | | | | | | | | | | | | | | e1) = e0)
% 202.88/33.93 | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | (13211) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 202.88/33.93 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 202.88/33.93 | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | BETA: splitting (13211) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | (13212) all_58_4 = e1 & op(e3, e1) = e1
% 202.88/33.93 | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | ALPHA: (13212) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | (13213) all_58_4 = e1
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | (13214) op(e3, e1) = e1
% 202.88/33.93 | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | (13215) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13215) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | (13216) all_58_6 = e1 & op(e1, e3) = e1
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13216) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | (13217) all_58_6 = e1
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | (13218) op(e1, e3) = e1
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (13218) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | (13219) all_52_2 = e1
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (13214) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | (13220) all_52_8 = e1
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (13219) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | (13221) ~ (all_52_3 = e1)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | SIMP: (13221) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | (13222) ~ (all_52_3 = e1)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13182), (13219) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | (13223) ~ (all_14_1 = e1)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (13220) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | (13224) ~ (all_52_9 = e1)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (13220) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | (13225) ~ (all_4_1 = e1)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | SIMP: (13225) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | (13226) ~ (all_4_1 = e1)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | (13227) all_54_4 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13180), (13227) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | (13228) all_14_1 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | SIMP: (13228) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | (13229) all_14_1 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13184), (13229) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | (13230) ~ (all_52_3 = e3)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13186), (13229) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | (13231) ~ (all_52_9 = e3)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13188), (13229) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | (13232) ~ (all_52_13 = e3)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | (13233) all_54_6 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (13231), (13233) are inconsistent by
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1881.
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | (13234) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | (13235) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13235) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | (13236) all_58_0 = e3 & op(e3, e3) = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (13236), (function-axioms) are
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | (13237) all_58_2 = e3 & op(e2, e3) = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13237) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | (13238) all_58_2 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13234) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (13239) all_54_6 = e2
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (13239) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (13240) all_52_9 = e2
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13240) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (13241) all_52_9 = e2
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8794), (13241) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (13242) ~ (all_4_1 = e2)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13242) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (13243) ~ (all_4_1 = e2)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (13241) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (13244) op(e2, e1) = e2
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13245) all_54_14 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (13245) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13246) all_4_1 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8792), (13246) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13247) ~ (all_52_7 = e3)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13248) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13248) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13249) all_58_4 = e3 & op(e3, e1) = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13249) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13250) all_58_4 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13213), (13250) are inconsistent by
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #981.
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13251) all_58_5 = e3 & op(e2, e1) = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13251) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13252) all_58_5 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (164),
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (231), (232), (233), (239), (241),
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (356), (8769), (12661), (12665),
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (13170), (13238), (13252),
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #64.
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13253) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13253) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13254) all_58_8 = e3 & op(e1, e1) = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13254) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13255) all_58_8 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (13255) are inconsistent by sub-proof
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1630.
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13256) all_58_14 = e3 & op(e0, e1) = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13256) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13257) all_58_14 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13258) op(e0, e1) = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13259) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13259) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13260) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13260) implies:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261) op(e0, e2) = all_56_10
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13262) op(e3, e2) = all_56_0
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13263) all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13264) all_56_0 = e0 | ( ~ (all_56_2 = e2) & op(e3, e0) =
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 & $i(all_56_2))
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13265) ~ (all_56_12 = e2) | all_56_0 = e3
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13265) gives:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13266) ~ (all_56_12 = e2)
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13163), (13266) imply:
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13267) $false
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13267) is inconsistent.
% 202.88/33.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13268) all_56_0 = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13269) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13269) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13270) all_58_12 = e2 & op(e0, e3) = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13270) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13271) op(e0, e3) = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (13247), (13261), (13263), (13271),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #664.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13272) all_58_13 = e2 & op(e0, e2) = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13272) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13273) all_58_13 = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13274) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13274) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13275) all_58_1 = e0 & op(e3, e2) = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13275) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13276) op(e3, e2) = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13264) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13277) all_56_0 = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13268), (13277) imply:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13278) e3 = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (13278) imply:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13279) $false
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13279) is inconsistent.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13280) ~ (all_56_0 = e0)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13262), (13276), (13280), (function-axioms) are
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #405.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13281) all_58_3 = e0 & op(e2, e2) = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13281) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13282) all_58_3 = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (13282), (function-axioms) are
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13283) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (162), (8767), (13273), (13283),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #63.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13284) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (13170), (13207), (13238), (13257),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13284), (function-axioms) are inconsistent by
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #62.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13285) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8765), (13218), (13285), (function-axioms)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #143.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13286) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13286) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13287) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13287) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13288) op(e1, e0) = all_56_8
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13289) all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0, e2)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13290) all_56_8 = e2 | ( ~ (all_56_7 = e0) & op(e1, e2) =
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13291) ~ (all_56_14 = e0) | all_56_8 = e1
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13291) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13292) ~ (all_56_14 = e0)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8765), (13292) imply:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13293) $false
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13293) is inconsistent.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13294) all_56_8 = e1
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13295) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13295) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13296) all_58_12 = e2 & op(e0, e3) = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13296) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13297) all_58_12 = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13289) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13298) all_56_15 = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13205), (13298) imply:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13299) e2 = e1
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13299) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13300) e2 = e1
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13297), (13300) imply:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13301) all_58_12 = e1
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (164), (165), (167),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (239), (243), (12661), (12665), (12666),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12677), (13217), (13238), (13301),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #61.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13302) ~ (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13302) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13303) ~ (all_56_10 = e0)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13304) op(e0, e2) = all_56_10
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13305) all_58_15 = e0 & op(e0, e0) = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (13305), (function-axioms) are
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13210) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13306) all_58_12 = e0 & op(e0, e3) = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13306) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13307) all_58_12 = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13297), (13307) are inconsistent by
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1106.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13308) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13308) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13309) all_58_13 = e0 & op(e0, e2) = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13309) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13310) op(e0, e2) = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13303), (13304), (13310), (function-axioms) are
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1333.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13311) all_58_14 = e0 & op(e0, e1) = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13311) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13312) all_58_14 = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13257), (13312) are inconsistent by
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1004.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13313) all_58_13 = e2 & op(e0, e2) = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13313) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13314) all_58_13 = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13315) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13315) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13316) all_58_1 = e0 & op(e3, e2) = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13316) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13317) all_58_1 = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13290) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13318) all_56_8 = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13294), (13318) imply:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13319) e2 = e1
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13314), (13319) imply:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13320) all_58_13 = e1
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (39), (237), (238),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356), (12678), (13317), (13320),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #139.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13321) ~ (all_56_8 = e2)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13322) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13322) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13323) all_58_0 = e3 & op(e3, e3) = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (13323), (function-axioms) are
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13324) all_58_1 = e3 & op(e3, e2) = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13324) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13325) all_58_1 = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13326) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13326) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13327) all_58_9 = e3 & op(e3, e0) = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13327) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13328) all_58_9 = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13329) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (13170), (13325), (13329),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1259.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13330) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13330) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13331) all_58_4 = e0 & op(e3, e1) = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8768), (13331), (function-axioms) are
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #700.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13332) all_58_9 = e0 & op(e3, e0) = e0
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13328), (13332) are inconsistent by
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1505.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13333) all_58_10 = e3 & op(e2, e0) = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13333) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13334) all_58_10 = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (232), (233),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13238), (13334) are inconsistent by sub-proof
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #876.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13335) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13335) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13336) all_58_11 = e3 & op(e1, e0) = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13336) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13337) all_58_11 = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (164), (165),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (221), (231), (232), (239), (240), (241),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (245), (355), (8769), (12661), (12665),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (13170), (13207), (13238), (13325),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13337), (function-axioms) are inconsistent by
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #59.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13338) all_58_15 = e3 & op(e0, e0) = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13338) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13339) op(e0, e0) = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13207), (13339), (function-axioms) are
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13340) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13340) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13341) all_58_4 = e3 & op(e3, e1) = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13341) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13342) all_58_4 = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13213), (13342) imply:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13343) e3 = e1
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13257), (13343) imply:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13344) all_58_14 = e1
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13345) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13345) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13346) all_58_4 = e2 & op(e3, e1) = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13346) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13347) all_58_4 = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13213), (13347) imply:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13348) e2 = e1
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13314), (13348) imply:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13349) all_58_13 = e1
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (164),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (232), (235), (237), (238), (356),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8767), (12661), (12665), (12666), (12678),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13349), (function-axioms) are inconsistent by
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13350) all_58_5 = e2 & op(e2, e1) = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13350) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13351) all_58_5 = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (230), (8780), (13213), (13344),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13351) are inconsistent by sub-proof #209.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13352) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13352) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13353) all_58_8 = e2 & op(e1, e1) = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13353) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13354) all_58_8 = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (13354) are inconsistent by sub-proof
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #984.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13355) all_58_14 = e2 & op(e0, e1) = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13355) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13356) all_58_14 = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13344), (13356) imply:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13357) e2 = e1
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13314), (13357) imply:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13358) all_58_13 = e1
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (218),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (358), (13207), (13356), (13358),
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #796.
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13359) all_58_9 = e3 & op(e3, e0) = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13359) implies:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13360) all_58_9 = e3
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13361) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13361) gives:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13362) all_58_9 = e2 & op(e3, e0) = e2
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13362) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13363) all_58_9 = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13360), (13363) imply:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13364) e3 = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13238), (13364) imply:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13365) all_58_2 = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (13170), (13365), (function-axioms)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1234.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13366) all_58_10 = e2 & op(e2, e0) = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (165), (167), (231), (232),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8769), (12661), (12665), (12666), (13238),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13366), (function-axioms) are inconsistent by
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13367) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13367) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13368) all_58_11 = e2 & op(e1, e0) = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13368) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13369) op(e1, e0) = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13288), (13321), (13369), (function-axioms) are
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1311.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13370) all_58_15 = e2 & op(e0, e0) = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13370) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13371) op(e0, e0) = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13207), (13371), (function-axioms) are
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13372) all_58_3 = e0 & op(e2, e2) = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13372) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13373) all_58_3 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (13373), (function-axioms) are
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13374) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (162), (8767), (13314), (13374),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #63.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13375) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (13170), (13207), (13238), (13257),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13375), (function-axioms) are inconsistent by
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #62.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13376) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13376) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13377) op(e0, e3) = all_56_9
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13378) op(e1, e3) = all_56_6
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13379) op(e2, e3) = all_56_3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13380) all_56_9 = e1 | ( ~ (all_56_11 = e3) & op(e0, e1)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13381) all_56_9 = e2 | ( ~ (all_56_10 = e3) & op(e0, e2)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_10 & $i(all_56_10))
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13382) all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) =
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13383) all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13380) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13384) all_56_9 = e1
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13377), (13384) imply:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13385) op(e0, e3) = e1
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13386) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13386) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13387) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13387) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13388) all_58_6 = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (164), (167),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (239), (241), (243), (12661), (12678),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13165), (13232), (13379), (13383), (13388),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #282.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13389) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13389) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13390) op(e1, e2) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13165), (13378), (13382), (13390),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #961.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13391) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13391) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13392) all_58_8 = e3 & op(e1, e1) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13392) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13393) all_58_8 = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (13393) are inconsistent by sub-proof
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1630.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13394) all_58_11 = e3 & op(e1, e0) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13394) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13395) all_58_11 = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13381) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13396) all_56_9 = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13377), (13380), (13385), (13396),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #394.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13397) ~ (all_56_9 = e2)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13398) ~ (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13398) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13399) ~ (all_56_10 = e3)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13400) op(e0, e2) = all_56_10
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13401) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13401) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13402) all_58_1 = e3 & op(e3, e2) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13402) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13403) all_58_1 = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (164), (165),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (221), (231), (232), (239), (240), (241),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (245), (355), (8769), (12661), (12665),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (13170), (13207), (13238), (13395),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13403), (function-axioms) are inconsistent by
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #59.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13404) all_58_3 = e3 & op(e2, e2) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13404) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13405) op(e2, e2) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (13405), (function-axioms) are
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13406) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13406) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13407) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13407) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13408) op(e1, e2) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13165), (13378), (13382), (13408),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #961.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13409) all_58_13 = e3 & op(e0, e2) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13409) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13410) op(e0, e2) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13399), (13400), (13410), (function-axioms) are
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #404.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13411) ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13258), (13411), (function-axioms) are
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #825.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13412) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8790), (8794), (8797), (13226), (13244),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13412), (function-axioms) are inconsistent by
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #159.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (13413) all_54_6 = e1 | all_54_6 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8769), (12665), (13413) are inconsistent
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1744.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | (13414) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (13217), (13230), (13414),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | #58.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | (13415) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13415) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | (13416) all_54_4 = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13180), (13189), (13416) are inconsistent by
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1218.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | (13417) ~ (all_54_4 = e2)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | (13418) all_54_4 = e1 | all_54_4 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13418) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | (13419) all_54_4 = e1
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13180), (13190), (13419) are inconsistent by
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1217.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | (13420) all_54_4 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13180), (13420) imply:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | (13421) all_14_1 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13421) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | (13422) all_14_1 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13184), (13422) imply:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | (13423) ~ (all_52_3 = e0)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13189), (13422) imply:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | (13424) ~ (e2 = e0)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | (13425) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13425) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (13426) all_58_2 = e0 & op(e2, e3) = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13426) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (13427) all_58_2 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13428) all_54_12 = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (13428) imply:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13429) all_52_3 = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13429) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13430) all_52_3 = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (13430) imply:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13431) ~ (all_52_7 = e3)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13431) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13432) ~ (all_52_7 = e3)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8791), (13430) imply:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13433) ~ (all_4_1 = e3)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13433) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13434) ~ (all_4_1 = e3)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13435) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13435) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13436) all_58_4 = e3 & op(e3, e1) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13436) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13437) all_58_4 = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13213), (13437) are inconsistent by
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #981.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13438) all_58_5 = e3 & op(e2, e1) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13438) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13439) all_58_5 = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13440) op(e2, e1) = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13441) all_54_14 = e3
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (13434), (13441) are inconsistent by
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #202.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13442) ~ (all_54_14 = e3)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13443) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13444) all_58_15 = e0 & op(e0, e0) = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (13444), (function-axioms) are
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13210) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13445) all_58_12 = e0 & op(e0, e3) = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13445) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13446) op(e0, e3) = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (159), (191), (256), (8790), (8792),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797), (12664), (13226), (13432), (13443),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13446), (function-axioms) are inconsistent by
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #197.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13447) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13447) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13448) all_58_13 = e0 & op(e0, e2) = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13448) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13449) all_58_13 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13450) op(e0, e2) = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (51), (158), (164),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (214), (218), (229), (231), (232),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (239), (241), (243), (245), (355), (356),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8762), (8765), (8769), (8780), (8790), (8794),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797), (12661), (12665), (12666), (12677),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13163), (13170), (13205), (13207), (13213),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13217), (13218), (13226), (13427), (13432),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13434), (13439), (13440), (13443), (13449),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13450), (function-axioms) are inconsistent by
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #53.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13451) all_58_14 = e0 & op(e0, e1) = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13451) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13452) all_58_14 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13453) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13453) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13454) all_58_12 = e2 & op(e0, e3) = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13454) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13455) all_58_12 = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13443) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13456) all_54_14 = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (13456) imply:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13457) all_4_1 = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13457) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13458) all_4_1 = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8794), (13458) imply:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13459) ~ (all_52_9 = e2)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13460) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (164), (165),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (232), (239), (243), (245), (355), (12661),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (13213), (13217),
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13455), (13459), (13460), (function-axioms) are
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #57.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13461) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13461) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13462) all_58_8 = e2 & op(e1, e1) = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (13462) are inconsistent by sub-proof
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #219.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13463) all_58_14 = e2 & op(e0, e1) = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13452), (13463) are inconsistent by
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1896.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13464) all_54_14 = e1 | all_54_14 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (8797), (13226), (13464) are inconsistent
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #232.
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13465) all_58_13 = e2 & op(e0, e2) = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13465) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13466) all_58_13 = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13467) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13467) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13468) all_58_1 = e0 & op(e3, e2) = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13468) implies:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13469) all_58_1 = e0
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13443) gives:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13470) all_54_14 = e2
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (13470) imply:
% 202.88/33.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13471) all_4_1 = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8794), (13471) imply:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13472) ~ (all_52_9 = e2)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13473) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13473) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13474) all_58_4 = e2 & op(e3, e1) = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13474) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13475) all_58_4 = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13213), (13475) imply:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13476) e2 = e1
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13466), (13476) imply:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13477) all_58_13 = e1
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (39), (237), (238),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356), (12678), (13469), (13477),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #139.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13478) all_58_5 = e2 & op(e2, e1) = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13478) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13479) op(e2, e1) = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13472), (13479), (function-axioms) are
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #254.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13480) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13480) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13481) all_58_8 = e2 & op(e1, e1) = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13481) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13482) all_58_8 = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (13482) are inconsistent by sub-proof
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #984.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13483) all_58_14 = e2 & op(e0, e1) = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13452), (13483) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1896.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13484) all_54_14 = e1 | all_54_14 = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (8797), (13226), (13484) are inconsistent
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #232.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13485) all_58_3 = e0 & op(e2, e2) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13485) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13486) all_58_3 = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (13486), (function-axioms) are
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13487) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13487) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13488) all_58_7 = e0 & op(e1, e2) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13488) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13489) op(e1, e2) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8767), (13489), (function-axioms) are
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13490) all_58_13 = e0 & op(e0, e2) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13490) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13491) all_58_13 = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13492) op(e0, e2) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (51), (158), (164),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (214), (218), (229), (231), (232),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (239), (241), (243), (245), (355), (356),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8762), (8765), (8769), (8780), (8790), (8794),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797), (12661), (12665), (12666), (12677),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13163), (13170), (13205), (13207), (13213),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13217), (13218), (13226), (13427), (13432),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13434), (13439), (13440), (13443), (13491),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13492), (function-axioms) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #53.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13493) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (13207), (13452), (13493),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1768.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13494) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13494) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13495) all_58_8 = e3 & op(e1, e1) = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13495) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13496) all_58_8 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (13496) are inconsistent by sub-proof
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1630.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13497) all_58_14 = e3 & op(e0, e1) = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13497) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13498) all_58_14 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13499) all_54_14 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (13434), (13499) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #202.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13500) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13501) all_58_15 = e0 & op(e0, e0) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (13501), (function-axioms) are
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13209) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13502) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13503) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13503) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13504) all_58_12 = e2 & op(e0, e3) = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13504) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13505) all_58_12 = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13210) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13506) all_58_12 = e0 & op(e0, e3) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13506) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13507) op(e0, e3) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (159), (191), (256), (8790), (8792),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797), (12664), (13226), (13432), (13500),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13507), (function-axioms) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #197.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13508) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13508) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13509) all_58_13 = e0 & op(e0, e2) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13509) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13510) all_58_13 = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13511) op(e0, e2) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13512) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13512) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13513) all_58_1 = e2 & op(e3, e2) = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (13167), (13513), (function-axioms) are
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13514) all_58_3 = e2 & op(e2, e2) = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (13514), (function-axioms) are
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13515) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13515) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13516) all_58_7 = e2 & op(e1, e2) = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13516) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13517) all_58_7 = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13518) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13518) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13519) all_58_1 = e3 & op(e3, e2) = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13519) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13520) all_58_1 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13521) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13521) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13522) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13522) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13523) all_58_6 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13217), (13523) imply:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13524) e3 = e1
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13498), (13524) imply:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13525) all_58_14 = e1
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13207), (13210), (13511), (13525),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #353.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13526) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13517), (13526) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1809.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13527) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13527) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13528) all_58_8 = e3 & op(e1, e1) = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13528) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13529) all_58_8 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (13529) are inconsistent by sub-proof
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1630.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13530) all_58_11 = e3 & op(e1, e0) = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13530) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13531) all_58_11 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13532) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13532) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13533) all_58_9 = e2 & op(e3, e0) = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13533) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13534) all_58_9 = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (240), (242), (13170),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13520), (13534), (function-axioms) are
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1256.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13535) all_58_10 = e2 & op(e2, e0) = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13535) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13536) all_58_10 = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13502) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13537) all_58_9 = e0 & op(e3, e0) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13537) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13538) all_58_9 = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13539) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13539) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13540) all_58_0 = e3 & op(e3, e3) = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (13213), (13520), (13538),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13540) are inconsistent by sub-proof #1644.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13541) all_58_2 = e3 & op(e2, e3) = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13427), (13541) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1573.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13542) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13542) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13543) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13543) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13544) all_58_6 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13217), (13544) imply:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13545) e3 = e1
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13531), (13545) imply:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13546) all_58_11 = e1
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (221),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (358), (13207), (13536), (13546),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #616.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13547) all_58_12 = e3 & op(e0, e3) = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13505), (13547) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1844.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13548) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13548) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13549) all_58_10 = e0 & op(e2, e0) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13549) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13550) all_58_10 = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13536), (13550) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1886.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13551) all_58_11 = e0 & op(e1, e0) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13551) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13552) all_58_11 = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13531), (13552) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #951.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13553) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (13207), (13531), (13553),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #98.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13554) all_58_3 = e3 & op(e2, e2) = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13554) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13555) op(e2, e2) = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (13555), (function-axioms) are
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13556) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (158), (13432), (13517), (13556),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #559.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13557) all_58_13 = e2 & op(e0, e2) = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13557) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13558) all_58_13 = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13510), (13558) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1372.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13559) all_58_14 = e0 & op(e0, e1) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13498), (13559) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #677.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13560) all_58_13 = e2 & op(e0, e2) = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13560) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13561) all_58_13 = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13210) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13562) all_58_12 = e0 & op(e0, e3) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13562) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13563) op(e0, e3) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (159), (191), (256), (8790), (8792),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797), (12664), (13226), (13432), (13500),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13563), (function-axioms) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #197.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13564) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13564) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13565) all_58_13 = e0 & op(e0, e2) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13561), (13565) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1547.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13566) all_58_14 = e0 & op(e0, e1) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13498), (13566) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #677.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13567) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (13207), (13498), (13567),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #822.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13568) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (13166), (13222), (13423), (13568) are
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (13569) all_58_3 = e0 & op(e2, e2) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13569) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (13570) all_58_3 = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (13570), (function-axioms) are
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | (13571) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13571) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (13572) all_58_5 = e0 & op(e2, e1) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13572) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (13573) op(e2, e1) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (13573), (function-axioms) are
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (13574) all_58_10 = e0 & op(e2, e0) = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13574) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (13575) all_58_10 = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13576) all_54_12 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (13576) imply:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13577) all_52_3 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13577) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13578) all_52_3 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8791), (13578) imply:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13579) ~ (all_4_1 = e3)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13579) implies:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13580) ~ (all_4_1 = e3)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13581) all_54_14 = e3
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (13580), (13581) are inconsistent by
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #202.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13582) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13583) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (239),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (245), (355), (356), (13170), (13583),
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #623.
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13584) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 202.88/33.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13584) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13585) all_58_5 = e2 & op(e2, e1) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13585) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13586) op(e2, e1) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8790), (8794), (8797), (13226), (13582),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13586), (function-axioms) are inconsistent by
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #159.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13587) all_58_10 = e2 & op(e2, e0) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13587) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13588) all_58_10 = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13575), (13588) are inconsistent by
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1886.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13589) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (13166), (13222), (13423), (13589) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | (13590) all_58_7 = e1 & op(e1, e2) = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13590) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | (13591) op(e1, e2) = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12663), (13591), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | (13592) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13592) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | (13593) all_58_8 = e1 & op(e1, e1) = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13593) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | (13594) all_58_8 = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (13594) imply:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | (13595) e1 = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (13595), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | (13596) all_58_11 = e1 & op(e1, e0) = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13596) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | (13597) all_58_11 = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | (13598) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13598) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | (13599) all_58_6 = e2 & op(e1, e3) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13599) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | (13600) op(e1, e3) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13165), (13600), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | (13601) all_58_7 = e2 & op(e1, e2) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13601) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | (13602) all_58_7 = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | (13603) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13603) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | (13604) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13604) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | (13605) all_58_6 = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (13606) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (12661), (13170), (13606),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | #401.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (13607) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13607) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13608) all_58_6 = e1 & op(e1, e3) = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13605), (13608) are inconsistent by
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1853.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13609) all_58_12 = e1 & op(e0, e3) = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13609) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13610) all_58_12 = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13611) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13611) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13612) all_58_9 = e2 & op(e3, e0) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13612) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13613) all_58_9 = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13614) all_58_15 = e0 & op(e0, e0) = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (13614), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13209) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13615) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13210) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13616) all_58_12 = e0 & op(e0, e3) = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13616) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13617) all_58_12 = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13610), (13617) imply:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13618) e1 = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (13618), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13619) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13619) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13620) all_58_13 = e0 & op(e0, e2) = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13620) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13621) op(e0, e2) = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13622) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13622) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13623) all_58_1 = e3 & op(e3, e2) = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13623) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13624) all_58_1 = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (240), (242), (13170),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13613), (13624), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1256.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13625) all_58_3 = e3 & op(e2, e2) = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13625) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13626) op(e2, e2) = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (13626), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13627) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (13602), (13621), (13627),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #151.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13628) all_58_14 = e0 & op(e0, e1) = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13628) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13629) all_58_14 = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13615) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13630) all_58_9 = e0 & op(e3, e0) = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13613), (13630) are inconsistent by
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1257.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13631) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13631) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13632) all_58_10 = e0 & op(e2, e0) = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13632) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13633) all_58_10 = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13634) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13634) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13635) all_58_4 = e3 & op(e3, e1) = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13635) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13636) all_58_4 = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13213), (13636) are inconsistent by
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #981.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13637) all_58_5 = e3 & op(e2, e1) = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13637) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13638) all_58_5 = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (233),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (245), (355), (356), (13170),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13633), (13638), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13639) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13639) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13640) all_58_8 = e3 & op(e1, e1) = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13640) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13641) all_58_8 = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13602), (13605), (13641) are inconsistent by
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1451.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13642) all_58_14 = e3 & op(e0, e1) = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13629), (13642) are inconsistent by
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #964.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13643) all_58_11 = e0 & op(e1, e0) = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13643) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13644) all_58_11 = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (162), (164), (165), (167), (224),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (8780), (12661), (12663), (12665), (12666),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12677), (13605), (13644), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #83.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13645) all_58_10 = e2 & op(e2, e0) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13645) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13646) all_58_10 = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (216), (221),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (358), (13207), (13597), (13646),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #616.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13647) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13207), (13597), (13647), (function-axioms)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1300.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | (13648) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13648) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | (13649) all_58_7 = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13602), (13649) are inconsistent by
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1627.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | (13650) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13650) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | (13651) all_58_8 = e3 & op(e1, e1) = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (13651) are inconsistent by sub-proof
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | #251.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | (13652) all_58_11 = e3 & op(e1, e0) = e3
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13597), (13652) are inconsistent by
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #617.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | (13653) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8780), (13597), (13653) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | (13654) all_58_5 = e1 & op(e2, e1) = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | ALPHA: (13654) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | (13655) op(e2, e1) = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12665), (13655), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (13656) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 202.88/33.97 | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | BETA: splitting (13656) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | (13657) all_58_8 = e1 & op(e1, e1) = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | ALPHA: (13657) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | (13658) all_58_8 = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (13658) imply:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | (13659) e1 = e0
% 202.88/33.97 | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | (12666), (12677), (13659), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | (13660) all_58_14 = e1 & op(e0, e1) = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | ALPHA: (13660) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | (13661) all_58_14 = e1
% 202.88/33.97 | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (218), (219),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | (12692), (13207), (13210), (13661),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.97 | | | | | | | | | | | | | | | | | | | #262.
% 202.88/33.97 | | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | (13662) all_54_15 = e0
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (13662) imply:
% 202.88/33.97 | | | | | | | | | | | | | | | | (13663) all_10_2 = e0
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | REDUCE: (358), (13663) imply:
% 202.88/33.97 | | | | | | | | | | | | | | | | (13664) $false
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | CLOSE: (13664) is inconsistent.
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | (13665) all_30_2 = e2
% 202.88/33.97 | | | | | | | | | | | | | (13666) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 202.88/33.97 | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 202.88/33.97 | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0)))
% 202.88/33.97 | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | ALPHA: (13666) implies:
% 202.88/33.97 | | | | | | | | | | | | | (13667) op(e2, e0) = all_30_1
% 202.88/33.97 | | | | | | | | | | | | | (13668) ~ (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 202.88/33.97 | | | | | | | | | | | | | e0) = all_30_0 & $i(all_30_0))
% 202.88/33.97 | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | COMBINE_EQS: (328), (13665) imply:
% 202.88/33.97 | | | | | | | | | | | | | (13669) all_10_2 = e2
% 202.88/33.97 | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | COMBINE_EQS: (350), (13669) imply:
% 202.88/33.97 | | | | | | | | | | | | | (13670) all_42_2 = e2
% 202.88/33.97 | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | COMBINE_EQS: (254), (13669) imply:
% 202.88/33.97 | | | | | | | | | | | | | (13671) all_56_15 = e2
% 202.88/33.97 | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | REDUCE: (392), (13669) imply:
% 202.88/33.97 | | | | | | | | | | | | | (13672) ~ (all_52_12 = e2)
% 202.88/33.97 | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | REDUCE: (393), (13669) imply:
% 202.88/33.97 | | | | | | | | | | | | | (13673) ~ (all_52_13 = e2)
% 202.88/33.97 | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | REDUCE: (394), (13669) imply:
% 202.88/33.97 | | | | | | | | | | | | | (13674) ~ (all_52_14 = e2)
% 202.88/33.97 | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | REDUCE: (45), (13669) imply:
% 202.88/33.97 | | | | | | | | | | | | | (13675) op(e0, e0) = e2
% 202.88/33.97 | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | BETA: splitting (94) gives:
% 202.88/33.97 | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | (13676) ~ (all_42_2 = e2)
% 202.88/33.97 | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | REDUCE: (13670), (13676) imply:
% 202.88/33.97 | | | | | | | | | | | | | | (13677) $false
% 202.88/33.97 | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | CLOSE: (13677) is inconsistent.
% 202.88/33.97 | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | (13678) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 202.88/33.97 | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 202.88/33.97 | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 202.88/33.97 | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | ALPHA: (13678) implies:
% 202.88/33.97 | | | | | | | | | | | | | | (13679) op(e2, e0) = all_42_1
% 202.88/33.97 | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 202.88/33.97 | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | (13680) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 202.88/33.97 | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 202.88/33.97 | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | BETA: splitting (13680) gives:
% 202.88/33.97 | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | (13681) all_58_4 = e2 & op(e3, e1) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | ALPHA: (13681) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | (13682) all_58_4 = e2
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | (13683) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.88/33.97 | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | BETA: splitting (13683) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (13684) all_58_1 = e2 & op(e3, e2) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (13167), (13684), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (13685) all_58_3 = e2 & op(e2, e2) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (13685), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | (13686) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 202.88/33.97 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.88/33.97 | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | BETA: splitting (13686) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (13687) all_58_7 = e2 & op(e1, e2) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | ALPHA: (13687) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (13688) all_58_7 = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (164),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (165), (167), (228), (230), (232), (233), (236),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (245), (246),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (355), (356), (8780), (12661), (12665), (12666),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (12677), (13170), (13667), (13673), (13679),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (13682), (13688), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #78.
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (13689) all_58_13 = e2 & op(e0, e2) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | ALPHA: (13689) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (13690) all_58_13 = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (51),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (216),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (217), (219), (225), (228), (229), (230), (232),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (235), (237), (238), (239), (241), (243), (245),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (355), (356), (358), (8767), (8780), (12661),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (12678), (12692),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (13165), (13170), (13674), (13675), (13690),
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.97 | | | | | | | | | | | | | | | | | | #48.
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | End of split
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | (13691) all_58_5 = e2 & op(e2, e1) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | ALPHA: (13691) implies:
% 202.88/33.97 | | | | | | | | | | | | | | | | (13692) all_58_5 = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | (13693) op(e2, e1) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | (13694) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.88/33.97 | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | BETA: splitting (13694) gives:
% 202.88/33.97 | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | (13695) all_58_1 = e2 & op(e3, e2) = e2
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (13167), (13695), (function-axioms) are
% 202.88/33.97 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.97 | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.97 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13696) all_58_3 = e2 & op(e2, e2) = e2
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (13696), (function-axioms) are
% 202.88/33.98 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | (13697) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 202.88/33.98 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.88/33.98 | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | BETA: splitting (13697) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13698) all_58_7 = e2 & op(e1, e2) = e2
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | ALPHA: (13698) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13699) all_58_7 = e2
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13700) op(e1, e2) = e2
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1, e2,
% 202.88/33.98 | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (12658), (13700) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13701) all_6_1 = e2
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 202.88/33.98 | | | | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (13667)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13702) all_52_13 = all_30_1
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 202.88/33.98 | | | | | | | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (13679)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13703) all_52_13 = all_42_1
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 202.88/33.98 | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (13693) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13704) all_52_9 = e2
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13702), (13703) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13705) all_42_1 = all_30_1
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (13702) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13706) all_54_7 = all_30_1
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | REDUCE: (12687), (13701) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13707) ~ (all_52_7 = e2)
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | REDUCE: (13186), (13704) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13708) ~ (all_14_1 = e2)
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | REDUCE: (8794), (13704) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13709) ~ (all_4_1 = e2)
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | SIMP: (13709) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13710) ~ (all_4_1 = e2)
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | REDUCE: (113), (13702) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13711) ~ (all_52_12 = all_30_1)
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | REDUCE: (13188), (13702) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13712) ~ (all_30_1 = all_14_1)
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | REDUCE: (13673), (13702) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13713) ~ (all_30_1 = e2)
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | REDUCE: (12666), (13702) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | (13714) ~ (all_30_1 = e1)
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | (13715) all_54_2 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (13715) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | (13716) all_52_8 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | SIMP: (13716) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | (13717) all_52_8 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | REDUCE: (134), (13717) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | (13718) ~ (all_52_4 = e3)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | REDUCE: (120), (13717) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | (13719) ~ (all_52_12 = e3)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | SIMP: (13719) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | (13720) ~ (all_52_12 = e3)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | (13721) all_54_1 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (13718), (13721) are inconsistent by
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | sub-proof #1709.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | (13722) ~ (all_54_1 = e3)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | (13723) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | (13724) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13724) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | (13725) all_58_1 = e3 & op(e3, e2) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13725) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | (13726) all_58_1 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | (13727) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13727) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | (13728) all_58_4 = e3 & op(e3, e1) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13728) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | (13729) all_58_4 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | (13730) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13730) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (13731) all_58_4 = e1 & op(e3, e1) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13731) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (13732) all_58_4 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13729), (13732) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (13733) e3 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13726), (13733) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (13734) all_58_1 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (235), (236),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (240), (246), (355), (12677), (12678),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (13170), (13699), (13729), (13734),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | #47.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (13735) all_58_5 = e1 & op(e2, e1) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13735) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (13736) op(e2, e1) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12665), (13736), (function-axioms) are
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | (13737) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13737) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (13738) all_58_8 = e1 & op(e1, e1) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (8780), (12661),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (13738),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | #85.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (13739) all_58_14 = e1 & op(e0, e1) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13739) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (13740) all_58_14 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13741) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13741) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13742) all_58_0 = e1 & op(e3, e3) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13742) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13743) op(e3, e3) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (242), (244),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13726), (13729), (13743), (function-axioms) are
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #884.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13744) all_58_1 = e1 & op(e3, e2) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13744) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13745) all_58_1 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (235), (236),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (240), (246), (355), (12677), (12678),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13170), (13699), (13729), (13745),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #47.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13746) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13746) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13747) all_58_4 = e1 & op(e3, e1) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13747) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13748) all_58_4 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (230), (8780), (13692), (13740),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13748) are inconsistent by sub-proof #209.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13749) all_58_9 = e1 & op(e3, e0) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13749) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13750) all_58_9 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (165), (167), (169), (232),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (8768), (12661), (12665), (12666), (12677),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13170), (13726), (13750), (function-axioms) are
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #46.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | (13751) all_58_5 = e3 & op(e2, e1) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13751) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | (13752) all_58_5 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13692), (13752) are inconsistent by
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1027.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | (13753) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13753) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | (13754) all_58_8 = e3 & op(e1, e1) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13754) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | (13755) all_58_8 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (13755) are inconsistent by sub-proof
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | #1630.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | (13756) all_58_14 = e3 & op(e0, e1) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13756) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | (13757) all_58_14 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | (13758) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13758) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (13759) all_58_4 = e1 & op(e3, e1) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13759) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (13760) all_58_4 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13761) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13761) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13762) all_58_9 = e1 & op(e3, e0) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13762) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13763) all_58_9 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (165), (167), (169), (232),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (8768), (12661), (12665), (12666), (12677),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13170), (13726), (13763), (function-axioms) are
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #46.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13764) all_58_10 = e1 & op(e2, e0) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (12666), (13764), (function-axioms) are
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #430.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13765) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13765) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13766) all_58_11 = e1 & op(e1, e0) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13766) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13767) all_58_11 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13723) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13768) all_54_1 = e2
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (13167), (13768) are inconsistent by
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1779.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13769) all_54_1 = e1 | all_54_1 = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13770) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13770) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13771) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13771) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13772) all_58_6 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13773) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13773) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13774) all_58_1 = e0 & op(e3, e2) = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13774) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13775) all_58_1 = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13726), (13775) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13776) e3 = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13772), (13776) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13777) all_58_6 = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13770) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13772), (13777) are inconsistent by
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1533.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13778) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (227), (228),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (8769), (13692), (13699), (13757), (13760),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13778), (function-axioms) are inconsistent by
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13779) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (230), (8780), (13692), (13757),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13760), (13767), (13779) are inconsistent by
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13780) all_58_3 = e0 & op(e2, e2) = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13780) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13781) all_58_3 = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (13781), (function-axioms) are
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13782) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13782) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13783) all_58_7 = e0 & op(e1, e2) = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13783) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13784) op(e1, e2) = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8767), (13784), (function-axioms) are
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13785) all_58_13 = e0 & op(e0, e2) = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13785) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13786) op(e0, e2) = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13769) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13787) all_54_1 = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (12662), (13787) are inconsistent by
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1778.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13788) all_54_1 = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (13788) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13789) all_52_4 = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13789) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13790) all_52_4 = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (13790) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13791) ~ (all_52_7 = e0)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13791) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13792) ~ (all_52_7 = e0)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13793) all_54_13 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (13793) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13794) all_52_7 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13794) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13795) all_52_7 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (13795) imply:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13796) op(e0, e2) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13786), (13796), (function-axioms) are
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1584.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13797) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13797) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13798) all_54_13 = e2
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (13707), (13798) are inconsistent by
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1284.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13799) all_54_13 = e1 | all_54_13 = e0
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (12664), (13792), (13799) are inconsistent
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #279.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13800) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (227), (228),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (8769), (13692), (13699), (13757), (13760),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13800), (function-axioms) are inconsistent by
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13801) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (230), (8780), (13692), (13757),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13760), (13767), (13801) are inconsistent by
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13802) all_58_15 = e1 & op(e0, e0) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13802) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13803) op(e0, e0) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13675), (13803), (function-axioms) are
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (13804) all_58_5 = e1 & op(e2, e1) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13804) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (13805) op(e2, e1) = e1
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12665), (13805), (function-axioms) are
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | (13806) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (164), (165), (167), (232), (8780),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (13757),
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | (13806), (function-axioms) are inconsistent by
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | (13807) all_58_3 = e3 & op(e2, e2) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13807) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | (13808) op(e2, e2) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (13808), (function-axioms) are
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | (13809) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13809) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | (13810) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13810) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | (13811) all_58_7 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13699), (13811) are inconsistent by
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1627.
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | (13812) all_58_13 = e3 & op(e0, e2) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13812) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | (13813) all_58_13 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | (13814) op(e0, e2) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | (13815) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13815) gives:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | (13816) all_58_4 = e3 & op(e3, e1) = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13816) implies:
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | | (13817) all_58_4 = e3
% 202.88/33.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (51),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (133), (162), (164), (165), (167), (168), (170),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (197), (201), (214), (216), (222), (228), (230),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (235), (236), (237), (238), (241),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (242), (245), (280), (282), (355), (356), (358),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (8765), (8767), (8780), (12661), (12662), (12665),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (12678), (12692), (13167),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13170), (13668), (13671), (13672), (13692),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13699), (13706), (13713), (13714), (13718),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13720), (13723), (13813), (13814), (13817),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | #41.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13818) all_58_5 = e3 & op(e2, e1) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13818) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13819) all_58_5 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13692), (13819) imply:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13820) e3 = e2
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13820) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13821) e3 = e2
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13813), (13821) imply:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13822) all_58_13 = e2
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (51),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (216),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (225), (228), (229), (230), (232),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (235), (237), (238), (239), (241), (243), (245),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (355), (356), (358), (8767), (8780), (12661),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (12678), (12692),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13165), (13170), (13674), (13675), (13822),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | #48.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | (13823) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13823) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13824) all_58_8 = e3 & op(e1, e1) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13824) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13825) all_58_8 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (13825) are inconsistent by sub-proof
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | #1630.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13826) all_58_14 = e3 & op(e0, e1) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13826) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13827) all_58_14 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | (13828) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13828) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13829) all_58_4 = e1 & op(e3, e1) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13829) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13830) all_58_4 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13831) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13831) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13832) all_58_12 = e1 & op(e0, e3) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13832) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13833) all_58_12 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13834) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13834) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13835) all_58_0 = e3 & op(e3, e3) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (13835), (function-axioms) are
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13836) all_58_1 = e3 & op(e3, e2) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13836) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13837) all_58_1 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (235), (12677), (13699), (13814),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13837), (function-axioms) are inconsistent by
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1393.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13838) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13838) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13839) all_58_4 = e3 & op(e3, e1) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13839) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13840) all_58_4 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (51),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (162), (164), (165), (167), (168), (170),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (201), (214), (216), (222), (228), (230),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (235), (236), (237), (238), (241),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (245), (280), (282), (355), (356), (358),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8765), (8767), (8780), (12661), (12662), (12665),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (12678), (12692), (13167),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13170), (13668), (13671), (13672), (13692),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13699), (13706), (13713), (13714), (13718),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13720), (13723), (13813), (13814), (13840),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #41.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13841) all_58_9 = e3 & op(e3, e0) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13841) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13842) all_58_9 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13843) all_58_15 = e0 & op(e0, e0) = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (13843), (function-axioms) are
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13844) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13844) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13845) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13846) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13846) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13847) all_58_0 = e0 & op(e3, e3) = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13847) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13848) op(e3, e3) = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13170), (13848), (function-axioms) are
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13849) all_58_1 = e0 & op(e3, e2) = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13849) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13850) all_58_1 = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13845) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13851) all_58_12 = e0 & op(e0, e3) = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13851) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13852) all_58_12 = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (236), (12677), (13699), (13813),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13833), (13850), (13852) are inconsistent by
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13853) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13814), (13827), (13853), (function-axioms)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #812.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13854) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13854) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13855) all_58_4 = e0 & op(e3, e1) = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8768), (13855), (function-axioms) are
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #700.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13856) all_58_9 = e0 & op(e3, e0) = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13842), (13856) are inconsistent by
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1505.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13857) all_58_13 = e1 & op(e0, e2) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13857) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13858) all_58_13 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (164),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (232), (235), (237), (238), (356),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8767), (12661), (12665), (12666), (12678),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13858), (function-axioms) are inconsistent by
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13859) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13859) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13860) all_58_14 = e1 & op(e0, e1) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13860) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13861) all_58_14 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (230), (8780), (13692), (13830),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13861) are inconsistent by sub-proof #209.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13862) all_58_15 = e1 & op(e0, e0) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13862) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13863) op(e0, e0) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13675), (13863), (function-axioms) are
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13864) all_58_5 = e1 & op(e2, e1) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13864) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13865) op(e2, e1) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12665), (13865), (function-axioms) are
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | (13866) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13866) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13867) all_58_8 = e1 & op(e1, e1) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13867) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13868) all_58_8 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (13868) imply:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13869) e1 = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (13869), (function-axioms) are
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13870) all_58_14 = e1 & op(e0, e1) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13870) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13871) all_58_14 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13827), (13871) imply:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13872) e3 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13872) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13873) e3 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13813), (13873) imply:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13874) all_58_13 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (164),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (232), (235), (237), (238), (356),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (8767), (12661), (12665), (12666), (12678),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13874), (function-axioms) are inconsistent by
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | (13875) ~ (all_54_2 = e3)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | (13876) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | REDUCE: (281), (13875) imply:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | (13877) ~ (all_52_8 = e3)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | (13878) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13878) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | (13879) all_58_4 = e3 & op(e3, e1) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13879) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | (13880) all_58_4 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | (13881) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13881) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | (13882) all_58_0 = e1 & op(e3, e3) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13882) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | (13883) op(e3, e3) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13170), (13883), (function-axioms) are
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | (13884) all_58_1 = e1 & op(e3, e2) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13884) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | (13885) all_58_1 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (235), (236),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | (238), (240), (246), (355), (12677), (12678),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | (13170), (13699), (13880), (13885),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | #47.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | (13886) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13886) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | (13887) all_58_4 = e1 & op(e3, e1) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13887) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | (13888) all_58_4 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13880), (13888) are inconsistent by
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #981.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | (13889) all_58_9 = e1 & op(e3, e0) = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13889) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | (13890) all_58_9 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13876) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13891) all_54_2 = e2
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (13168), (13891) are inconsistent by
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #982.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13892) ~ (all_54_2 = e2)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | (13893) all_54_2 = e1 | all_54_2 = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | (13894) all_58_15 = e0 & op(e0, e0) = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (13894), (function-axioms) are
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | (13895) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13895) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | (13896) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13896) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13897) all_58_9 = e0 & op(e3, e0) = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13897) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13898) all_58_9 = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13890), (13898) imply:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13899) e1 = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (13899), (function-axioms) are
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (13900) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13900) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13901) all_58_10 = e0 & op(e2, e0) = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13901) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13902) all_58_10 = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13903) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13903) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13904) all_58_2 = e3 & op(e2, e3) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13904) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13905) all_58_2 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13893) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13906) all_54_2 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (13906) imply:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13907) all_52_8 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13907) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13908) all_52_8 = e1
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (13908) imply:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13909) ~ (all_4_1 = e1)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13909) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13910) ~ (all_4_1 = e1)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13911) all_54_14 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (13911) imply:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13912) all_4_1 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8792), (13912) imply:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13913) ~ (all_52_7 = e3)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13914) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13914) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13915) all_58_1 = e3 & op(e3, e2) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13915) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13916) all_58_1 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (165), (167), (169), (232),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (8768), (12661), (12665), (12666), (12677),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13170), (13890), (13916), (function-axioms) are
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #46.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13917) all_58_3 = e3 & op(e2, e2) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13917) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13918) op(e2, e2) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (13918), (function-axioms) are
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13919) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13919) gives:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13920) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13920) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13921) all_58_7 = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13699), (13921) imply:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13922) e3 = e2
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (13170), (13905), (13922),
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13923) all_58_13 = e3 & op(e0, e2) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13923) implies:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13924) op(e0, e2) = e3
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (13913), (13924), (function-axioms) are
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13925) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 202.88/33.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8790), (8794), (8797), (13693), (13910),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13925), (function-axioms) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #159.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13926) all_54_2 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8768), (13926) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #947.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13927) all_58_3 = e3 & op(e2, e2) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13927) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13928) op(e2, e2) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (13928), (function-axioms) are
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13929) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13929) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13930) all_58_5 = e3 & op(e2, e1) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13930) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13931) all_58_5 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (233),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (245), (355), (356), (13170),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13902), (13931), (function-axioms) are
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13932) all_58_10 = e3 & op(e2, e0) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13932) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13933) all_58_10 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13902), (13933) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1554.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13934) all_58_11 = e0 & op(e1, e0) = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13934) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13935) all_58_11 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13893) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13936) all_54_2 = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (13936) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13937) all_52_8 = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13937) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13938) all_52_8 = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (13938) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13939) ~ (all_4_1 = e1)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13939) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13940) ~ (all_4_1 = e1)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13877), (13938) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13941) ~ (e3 = e1)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13942) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13942) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13943) all_58_1 = e3 & op(e3, e2) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13943) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13944) all_58_1 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13945) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13945) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13946) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13946) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13947) all_58_6 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (162), (164), (165), (167), (224),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (8780), (12661), (12663), (12665), (12666),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12677), (13935), (13947), (function-axioms) are
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #83.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13948) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13948) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13949) all_58_7 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13699), (13949) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13950) e3 = e2
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13950) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13951) e3 = e2
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13944), (13951) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13952) all_58_1 = e2
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (240), (13170), (13880), (13890),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13952), (function-axioms) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #487.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13953) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (13935), (13953) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #246.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13954) all_58_3 = e3 & op(e2, e2) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13954) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13955) op(e2, e2) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (13955), (function-axioms) are
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13956) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13956) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13957) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13957) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13958) all_58_7 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13699), (13958) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13959) e3 = e2
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13959) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13960) e3 = e2
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13880), (13960) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13961) all_58_4 = e2
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (164),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (228), (230), (232), (233), (236),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (245), (246), (355),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356), (8780), (12661), (12665), (12666), (12677),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13170), (13667), (13673), (13679), (13699),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13890), (13961), (function-axioms) are
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #79.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13962) all_58_13 = e3 & op(e0, e2) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13962) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13963) op(e0, e2) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13964) all_54_14 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (13964) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13965) all_4_1 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13965) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13966) all_4_1 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8792), (13966) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13967) ~ (all_52_7 = e3)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (13963), (13967), (function-axioms) are
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13968) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8790), (8794), (8797), (13693), (13940),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13968), (function-axioms) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #159.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13969) all_54_2 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8768), (13969) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #947.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | (13970) all_58_5 = e3 & op(e2, e1) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13692), (13970) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | sub-proof #999.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | (13971) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13971) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | (13972) all_58_8 = e3 & op(e1, e1) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13972) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | (13973) all_58_8 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (13973) are inconsistent by sub-proof
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | #1630.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | (13974) all_58_14 = e3 & op(e0, e1) = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13974) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | (13975) all_58_14 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13876) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | (13976) all_54_2 = e2
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (13168), (13976) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | sub-proof #982.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | (13977) ~ (all_54_2 = e2)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | (13978) all_54_2 = e1 | all_54_2 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13978) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | (13979) all_54_2 = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (13979) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | (13980) all_52_8 = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13980) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | (13981) all_52_8 = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (13981) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | (13982) ~ (all_52_12 = e1)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13982) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | (13983) ~ (all_52_12 = e1)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (13981) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | (13984) ~ (all_4_1 = e1)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13984) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | (13985) ~ (all_4_1 = e1)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | (13986) all_54_14 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (13986) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | (13987) all_4_1 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8792), (13987) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | (13988) ~ (all_52_7 = e3)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | (13989) all_54_13 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (13988), (13989) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1294.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | (13990) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (13991) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13991) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13992) all_58_12 = e1 & op(e0, e3) = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13992) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13993) op(e0, e3) = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13990) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13994) all_54_13 = e2
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (13707), (13994) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1284.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13995) all_54_13 = e1 | all_54_13 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13995) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13996) all_54_13 = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (12664), (13996) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1283.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13997) all_54_13 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (13997) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13998) all_52_7 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13998) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13999) all_52_7 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (13999) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14000) ~ (all_52_4 = e0)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14001) all_54_1 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (14001) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14002) all_52_4 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14002) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14003) all_52_4 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (14003) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14004) ~ (all_52_12 = e3)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14004) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14005) ~ (all_52_12 = e3)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14006) all_54_3 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (14005), (14006) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1878.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14007) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14007) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14008) all_54_3 = e2
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (13672), (14008) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1699.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14009) all_54_3 = e1 | all_54_3 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14009) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14010) all_54_3 = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (13983), (14010) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1714.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14011) all_54_3 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (14011) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14012) all_52_12 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14012) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14013) all_52_12 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13711), (14013) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14014) ~ (all_30_1 = e0)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14014) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14015) ~ (all_30_1 = e0)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14016) all_54_7 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13706), (14016) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14017) all_30_1 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14017) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14018) all_30_1 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13712), (14018) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14019) ~ (all_14_1 = e3)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14019) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14020) ~ (all_14_1 = e3)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14021) all_54_4 = e3
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13180), (14020), (14021) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1219.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14022) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14022) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14023) all_54_4 = e2
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13180), (13189), (14023) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1218.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14024) all_54_4 = e1 | all_54_4 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14024) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14025) all_54_4 = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13180), (13190), (14025) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1217.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14026) all_54_4 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13180), (14026) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14027) all_14_1 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14027) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14028) all_14_1 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13179), (14028) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14029) all_22_1 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13175) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14030) ~ (all_22_1 = e0)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14029), (14030) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14031) $false
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14031) is inconsistent.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14032) ~ (all_22_0 = e1) & op(e0, e3) = all_22_0 &
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14032) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14033) ~ (all_22_0 = e1)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14034) op(e0, e3) = all_22_0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_22_0,
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (13993), (14034) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14035) all_22_0 = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14033), (14035) imply:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14036) $false
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14036) is inconsistent.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14037) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13706), (13713), (13714), (14015), (14037) are
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #777.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14038) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (12662), (13167), (14000), (14038) are
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1775.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14039) all_58_13 = e1 & op(e0, e2) = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14039) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14040) all_58_13 = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (164),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (232), (235), (237), (238), (356),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8767), (12661), (12665), (12666), (12678),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14040), (function-axioms) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (14041) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14041) gives:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14042) all_58_14 = e1 & op(e0, e1) = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13975), (14042) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #751.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14043) all_58_15 = e1 & op(e0, e0) = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14043) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14044) op(e0, e0) = e1
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13675), (14044), (function-axioms) are
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | (14045) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8790), (8794), (8797), (13693), (13985),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | (14045), (function-axioms) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #159.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | (14046) all_54_2 = e0
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8768), (14046) are inconsistent by
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #947.
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | (14047) all_58_13 = e2 & op(e0, e2) = e2
% 202.88/34.00 | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | ALPHA: (14047) implies:
% 202.88/34.00 | | | | | | | | | | | | | | | | | | (14048) all_58_13 = e2
% 202.88/34.00 | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (51),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (216),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | (217), (219), (225), (228), (229), (230), (232),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | (235), (237), (238), (239), (241), (243), (245),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | (355), (356), (358), (8767), (8780), (12661),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (12678), (12692),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | (13165), (13170), (13674), (13675), (14048),
% 202.88/34.00 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.00 | | | | | | | | | | | | | | | | | | #48.
% 202.88/34.00 | | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | End of split
% 202.88/34.00 | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | Case 2:
% 202.88/34.00 | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | (14049) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 202.88/34.00 | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 202.88/34.00 | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | BETA: splitting (14049) gives:
% 202.88/34.00 | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | Case 1:
% 202.88/34.00 | | | | | | | | | | | | | | | |
% 202.88/34.00 | | | | | | | | | | | | | | | | (14050) all_58_8 = e2 & op(e1, e1) = e2
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | ALPHA: (14050) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | (14051) all_58_8 = e2
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (14051) are inconsistent by sub-proof
% 202.88/34.01 | | | | | | | | | | | | | | | | #984.
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | (14052) all_58_14 = e2 & op(e0, e1) = e2
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | ALPHA: (14052) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | (14053) all_58_14 = e2
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | (14054) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 202.88/34.01 | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | BETA: splitting (14054) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14055) all_58_4 = e1 & op(e3, e1) = e1
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | ALPHA: (14055) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14056) all_58_4 = e1
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | (14057) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (239),
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | (241), (245), (355), (356), (13170), (14057),
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | #623.
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | (14058) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (14058) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | (14059) all_58_5 = e2 & op(e2, e1) = e2
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (14059) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | (14060) all_58_5 = e2
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (227), (228),
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | (230), (8769), (14053), (14056), (14060),
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | #154.
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | (14061) all_58_10 = e2 & op(e2, e0) = e2
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (14061) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | (14062) op(e2, e0) = e2
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13667), (13673), (13679), (14062),
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | #1425.
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14063) all_58_5 = e1 & op(e2, e1) = e1
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | ALPHA: (14063) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14064) op(e2, e1) = e1
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12665), (14064), (function-axioms) are
% 202.88/34.01 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | End of split
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | (14065) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 202.88/34.01 | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (164), (165), (167), (232), (8780),
% 202.88/34.01 | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (14053),
% 202.88/34.01 | | | | | | | | | | | | | | | | | (14065), (function-axioms) are inconsistent by
% 202.88/34.01 | | | | | | | | | | | | | | | | | sub-proof #40.
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | End of split
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | End of split
% 202.88/34.01 | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | End of split
% 202.88/34.01 | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | End of split
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | End of split
% 202.88/34.01 | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | End of split
% 202.88/34.01 | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | End of split
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | (14066) all_10_2 = e3
% 202.88/34.01 | | | | | | | | | | (14067) op(e3, e0) = all_10_1 & $i(all_10_1) & ( ~
% 202.88/34.01 | | | | | | | | | | (all_10_1 = e2) | ( ~ (all_10_0 = e1) & op(e2,
% 202.88/34.01 | | | | | | | | | | e0) = all_10_0 & $i(all_10_0)))
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | ALPHA: (14067) implies:
% 202.88/34.01 | | | | | | | | | | (14068) op(e3, e0) = all_10_1
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | COMBINE_EQS: (337), (14066) imply:
% 202.88/34.01 | | | | | | | | | | (14069) all_24_2 = e3
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | COMBINE_EQS: (254), (14066) imply:
% 202.88/34.01 | | | | | | | | | | (14070) all_56_15 = e3
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | REDUCE: (373), (14066) imply:
% 202.88/34.01 | | | | | | | | | | (14071) ~ (all_52_3 = e3)
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | REDUCE: (384), (14066) imply:
% 202.88/34.01 | | | | | | | | | | (14072) ~ (all_52_7 = e3)
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | REDUCE: (392), (14066) imply:
% 202.88/34.01 | | | | | | | | | | (14073) ~ (all_52_12 = e3)
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | REDUCE: (393), (14066) imply:
% 202.88/34.01 | | | | | | | | | | (14074) ~ (all_52_13 = e3)
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | REDUCE: (394), (14066) imply:
% 202.88/34.01 | | | | | | | | | | (14075) ~ (all_52_14 = e3)
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | REDUCE: (8796), (14066) imply:
% 202.88/34.01 | | | | | | | | | | (14076) ~ (all_4_1 = e3)
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | SIMP: (14076) implies:
% 202.88/34.01 | | | | | | | | | | (14077) ~ (all_4_1 = e3)
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | REDUCE: (45), (14066) imply:
% 202.88/34.01 | | | | | | | | | | (14078) op(e0, e0) = e3
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | BETA: splitting (67) gives:
% 202.88/34.01 | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | (14079) ~ (all_24_2 = e3)
% 202.88/34.01 | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | REDUCE: (14069), (14079) imply:
% 202.88/34.01 | | | | | | | | | | | (14080) $false
% 202.88/34.01 | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | CLOSE: (14080) is inconsistent.
% 202.88/34.01 | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | (14081) op(e3, e0) = all_24_1 & $i(all_24_1) & ( ~
% 202.88/34.01 | | | | | | | | | | | (all_24_1 = e1) | ( ~ (all_24_0 = e2) & op(e1,
% 202.88/34.01 | | | | | | | | | | | e0) = all_24_0 & $i(all_24_0)))
% 202.88/34.01 | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | ALPHA: (14081) implies:
% 202.88/34.01 | | | | | | | | | | | (14082) op(e3, e0) = all_24_1
% 202.88/34.01 | | | | | | | | | | | (14083) ~ (all_24_1 = e1) | ( ~ (all_24_0 = e2) & op(e1,
% 202.88/34.01 | | | | | | | | | | | e0) = all_24_0 & $i(all_24_0))
% 202.88/34.01 | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | BETA: splitting (219) gives:
% 202.88/34.01 | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | (14084) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 202.88/34.01 | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.88/34.01 | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | REF_CLOSE: (158), (159), (14071), (14072), (14084),
% 202.88/34.01 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.01 | | | | | | | | | | | | #666.
% 202.88/34.01 | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | (14085) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 202.88/34.01 | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 202.88/34.01 | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | BETA: splitting (14085) gives:
% 202.88/34.01 | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | (14086) all_58_14 = e3 & op(e0, e1) = e3
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | ALPHA: (14086) implies:
% 202.88/34.01 | | | | | | | | | | | | | (14087) all_58_14 = e3
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (158),
% 202.88/34.01 | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (217),
% 202.88/34.01 | | | | | | | | | | | | | (218), (222), (223), (224), (226), (228), (229),
% 202.88/34.01 | | | | | | | | | | | | | (231), (232), (234), (235), (237), (238), (239),
% 202.88/34.01 | | | | | | | | | | | | | (241), (246), (355), (356), (8767), (8780),
% 202.88/34.01 | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (12678),
% 202.88/34.01 | | | | | | | | | | | | | (14068), (14072), (14073), (14074), (14075),
% 202.88/34.01 | | | | | | | | | | | | | (14078), (14082), (14087), (function-axioms) are
% 202.88/34.01 | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | (14088) all_58_15 = e3 & op(e0, e0) = e3
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | ALPHA: (14088) implies:
% 202.88/34.01 | | | | | | | | | | | | | (14089) all_58_15 = e3
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 202.88/34.01 | | | | | | | | | | | | | all_10_1, e0, e3, simplifying with (168), (14068)
% 202.88/34.01 | | | | | | | | | | | | | gives:
% 202.88/34.01 | | | | | | | | | | | | | (14090) all_52_12 = all_10_1
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 202.88/34.01 | | | | | | | | | | | | | all_24_1, e0, e3, simplifying with (168), (14082)
% 202.88/34.01 | | | | | | | | | | | | | gives:
% 202.88/34.01 | | | | | | | | | | | | | (14091) all_52_12 = all_24_1
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | COMBINE_EQS: (14090), (14091) imply:
% 202.88/34.01 | | | | | | | | | | | | | (14092) all_24_1 = all_10_1
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | SIMP: (14092) implies:
% 202.88/34.01 | | | | | | | | | | | | | (14093) all_24_1 = all_10_1
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | COMBINE_EQS: (280), (14090) imply:
% 202.88/34.01 | | | | | | | | | | | | | (14094) all_54_3 = all_10_1
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | REDUCE: (113), (14090) imply:
% 202.88/34.01 | | | | | | | | | | | | | (14095) ~ (all_52_13 = all_10_1)
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | SIMP: (14095) implies:
% 202.88/34.01 | | | | | | | | | | | | | (14096) ~ (all_52_13 = all_10_1)
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | REDUCE: (370), (14090) imply:
% 202.88/34.01 | | | | | | | | | | | | | (14097) ~ (all_14_2 = all_10_1)
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | SIMP: (14097) implies:
% 202.88/34.01 | | | | | | | | | | | | | (14098) ~ (all_14_2 = all_10_1)
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | REDUCE: (14073), (14090) imply:
% 202.88/34.01 | | | | | | | | | | | | | (14099) ~ (all_10_1 = e3)
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | BETA: splitting (52) gives:
% 202.88/34.01 | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | (14100) ~ (all_14_2 = e2)
% 202.88/34.01 | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 202.88/34.01 | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | (14101) ~ (all_28_2 = e1)
% 202.88/34.01 | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | REDUCE: (334), (14101) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | (14102) ~ (all_14_2 = e1)
% 202.88/34.01 | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 202.88/34.01 | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | (14103) all_54_0 = e3
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (14103) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | (14104) all_14_2 = e3
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | REDUCE: (355), (14104) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | (14105) $false
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | CLOSE: (14105) is inconsistent.
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | (14106) ~ (all_54_0 = e3)
% 202.88/34.01 | | | | | | | | | | | | | | | | (14107) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | BETA: splitting (14107) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | (14108) all_54_0 = e2
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (14108) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | (14109) all_14_2 = e2
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | REDUCE: (14100), (14109) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | (14110) $false
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | CLOSE: (14110) is inconsistent.
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | (14111) ~ (all_54_0 = e2)
% 202.88/34.01 | | | | | | | | | | | | | | | | | (14112) all_54_0 = e1 | all_54_0 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | BETA: splitting (14112) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14113) all_54_0 = e1
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (14113) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14114) all_14_2 = e1
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | REDUCE: (14102), (14114) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14115) $false
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | CLOSE: (14115) is inconsistent.
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14116) all_54_0 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (14116) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14117) all_14_2 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (14117) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14118) all_34_2 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (14117) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14119) all_44_2 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (14117) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14120) all_56_12 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | REDUCE: (364), (14117) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14121) ~ (all_52_3 = e0)
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | REDUCE: (355), (14117) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14122) ~ (e3 = e0)
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | REDUCE: (14100), (14117) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14123) ~ (e2 = e0)
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | REDUCE: (51), (14117) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | (14124) op(e3, e3) = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | (14125) ~ (all_34_2 = e0)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | REDUCE: (14118), (14125) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | (14126) $false
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | CLOSE: (14126) is inconsistent.
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | (14127) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | (all_34_1 = e2) | ( ~ (all_34_0 = e1) & op(e2,
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | e3) = all_34_0 & $i(all_34_0)))
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | ALPHA: (14127) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | (14128) op(e0, e3) = all_34_1
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | (14129) ~ (all_44_2 = e0)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (14119), (14129) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | (14130) $false
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | CLOSE: (14130) is inconsistent.
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | (14131) op(e0, e3) = all_44_1 & $i(all_44_1) & ( ~
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (14131) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | (14132) op(e0, e3) = all_44_1
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | (14133) ~ (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0))
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | (14134) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (165), (167),
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | (232), (242), (244), (246), (12661), (12665),
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | (12666), (14124), (14134), (function-axioms) are
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #104.
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | (14135) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14135) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | (14136) all_58_7 = e0 & op(e1, e2) = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14136) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | (14137) op(e1, e2) = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8767), (14137), (function-axioms) are
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | (14138) all_58_13 = e0 & op(e0, e2) = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14138) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | (14139) all_58_13 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | (14140) op(e0, e2) = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | (14141) all_58_15 = e0 & op(e0, e0) = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (14141), (function-axioms) are
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | (14142) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14142) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | (14143) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14143) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | (14144) all_58_9 = e0 & op(e3, e0) = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14144) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | (14145) all_58_9 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (242), (244),
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | (246), (14068), (14073), (14082), (14124),
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | (14145), (function-axioms) are inconsistent by
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132.
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | (14146) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14146) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14147) all_58_10 = e0 & op(e2, e0) = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14147) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14148) all_58_10 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14149) op(e2, e0) = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (14140) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14150) all_52_7 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e3, e0, simplifying with (159), (14128)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14151) all_52_3 = all_34_1
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | all_44_1, e3, e0, simplifying with (159), (14132)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14152) all_52_3 = all_44_1
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (14149) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14153) all_52_13 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14151), (14152) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14154) all_44_1 = all_34_1
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (14151) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14155) all_54_12 = all_34_1
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (14151) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14156) ~ (all_52_1 = all_34_1)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (14153) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14157) ~ (all_52_1 = e0)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (14151) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14158) ~ (all_52_2 = all_34_1)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8791), (14151) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14159) ~ (all_34_1 = all_4_1)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14071), (14151) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14160) ~ (all_34_1 = e3)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14121), (14151) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14161) ~ (all_34_1 = e0)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8792), (14150) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | (14162) ~ (all_4_1 = e0)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (14163) all_54_6 = e3
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (14163) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (14164) all_52_9 = e3
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14164) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (14165) all_52_9 = e3
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (14165) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (14166) ~ (all_52_1 = e3)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14167) all_54_4 = e3
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (14166), (14167) are inconsistent by
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1750.
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14168) ~ (all_54_4 = e3)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14169) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14169) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14170) all_54_4 = e2
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (14170) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14171) all_52_1 = e2
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14171) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14172) all_52_1 = e2
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (14172) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14173) ~ (all_52_2 = e2)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14173) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14174) ~ (all_52_2 = e2)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14156), (14172) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14175) ~ (all_34_1 = e2)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14175) implies:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14176) ~ (all_34_1 = e2)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14166), (14172) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14177) ~ (e3 = e2)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (14172) imply:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14178) op(e2, e3) = e2
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14179) all_54_12 = e3
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14155), (14160), (14179) are inconsistent by
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1710.
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14180) ~ (all_54_12 = e3)
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14181) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14182) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14182) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14183) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12660), (14178), (14183), (function-axioms)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #88.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14184) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14184) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14185) op(e2, e1) = all_56_4
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14186) all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_6 & $i(all_56_6))
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14187) all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) =
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 & $i(all_56_3))
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14188) ~ (all_56_13 = e1) | all_56_4 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14189) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14189) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14190) all_58_0 = e3 & op(e3, e3) = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14190) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14191) op(e3, e3) = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14124), (14191), (function-axioms) are
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14192) all_58_1 = e3 & op(e3, e2) = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14192) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14193) all_58_1 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14194) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14194) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14195) all_58_1 = e2 & op(e3, e2) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14193), (14195) are inconsistent by
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1918.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14196) all_58_3 = e2 & op(e2, e2) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (14196), (function-axioms) are
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14197) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14197) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14198) all_58_7 = e2 & op(e1, e2) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14198) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14199) all_58_7 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14186) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14200) all_56_14 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8765), (14200) are inconsistent by sub-proof
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #144.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14201) ~ (all_56_14 = e3)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14202) ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14202) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14203) ~ (all_56_6 = e1)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14204) op(e1, e3) = all_56_6
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14205) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14205) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14206) all_58_4 = e3 & op(e3, e1) = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14206) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14207) all_58_4 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14208) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14208) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14209) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (164), (165), (167), (228),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (234), (241), (243), (279), (8780),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (12678),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14074), (14124), (14133), (14154), (14155),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14157), (14160), (14161), (14169), (14176),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14181), (14207), (14209), (function-axioms) are
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14210) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14210) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14211) all_58_7 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14199), (14211) are inconsistent by
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1627.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14212) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (223),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (238), (8780), (12678), (14072),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14075), (14193), (14199), (14212),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #31.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14213) all_58_5 = e3 & op(e2, e1) = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14213) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14214) all_58_5 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14215) op(e2, e1) = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14216) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14216) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14217) all_58_0 = e2 & op(e3, e3) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14217) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14218) op(e3, e3) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14124), (14218), (function-axioms) are
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14219) all_58_2 = e2 & op(e2, e3) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14219) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14220) all_58_2 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14221) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14221) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14222) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14222) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14223) all_58_6 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (165), (167),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (223), (224), (226), (228), (229), (232),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (242), (243), (244), (245), (246),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279), (8780), (12660), (12661), (12665), (12677),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14089), (14124), (14139), (14148), (14157),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14169), (14174), (14178), (14185), (14187),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14188), (14193), (14199), (14203), (14204),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14214), (14215), (14220), (14223),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #29.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14224) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14224) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14225) all_58_7 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14199), (14225) are inconsistent by
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1627.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14226) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (223),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (238), (8780), (12678), (14072),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14075), (14193), (14199), (14226),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #31.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14227) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14227) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14228) all_58_6 = e2 & op(e1, e3) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14228) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14229) op(e1, e3) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14133), (14154), (14155), (14161), (14176),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14181), (14229), (function-axioms) are
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1680.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14230) all_58_12 = e2 & op(e0, e3) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14230) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14231) all_58_12 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14232) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14232) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14233) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14233) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14234) all_58_6 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14235) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14235) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14236) all_58_4 = e2 & op(e3, e1) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14236) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14237) all_58_4 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14238) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14238) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14239) all_58_2 = e2 & op(e2, e3) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14239) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14240) all_58_2 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (165), (167),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (223), (224), (226), (228), (229), (232),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (242), (243), (244), (245), (246),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279), (8780), (12660), (12661), (12665), (12677),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14089), (14124), (14139), (14148), (14157),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14169), (14174), (14178), (14185), (14187),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14188), (14193), (14199), (14203), (14204),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14214), (14215), (14234), (14240),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #29.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14241) all_58_3 = e2 & op(e2, e2) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (14241), (function-axioms) are
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14242) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14242) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14243) all_58_5 = e2 & op(e2, e1) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14243) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14244) all_58_5 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (234), (239),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (12678), (14074), (14231), (14234),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14244), (function-axioms) are inconsistent by
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14245) all_58_10 = e2 & op(e2, e0) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14245) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14246) all_58_10 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14148), (14246) imply:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14247) e2 = e0
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14237), (14247) imply:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14248) all_58_4 = e0
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (242), (244),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (14068), (14073), (14082), (14124),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14248), (function-axioms) are inconsistent by
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #528.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14249) all_58_5 = e2 & op(e2, e1) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14249) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14250) all_58_5 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (234), (239),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (12678), (14074), (14231), (14234),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14250), (function-axioms) are inconsistent by
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14251) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14251) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14252) all_58_8 = e2 & op(e1, e1) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14252) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14253) all_58_8 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (223), (224), (14199),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14234), (14253) are inconsistent by sub-proof
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #763.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14254) all_58_14 = e2 & op(e0, e1) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14254) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14255) all_58_14 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (217), (14078), (14139), (14231),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14255), (function-axioms) are inconsistent by
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #366.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14256) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14256) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14257) all_58_7 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14199), (14257) are inconsistent by
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1627.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14258) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (223),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (238), (8780), (12678), (14072),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14075), (14193), (14199), (14258),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #31.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14259) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14259) gives:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14260) all_58_8 = e3 & op(e1, e1) = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (223),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (238), (8780), (12678), (14072),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14075), (14193), (14199), (14260),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #32.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14261) all_58_14 = e3 & op(e0, e1) = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14261) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14262) all_58_14 = e3
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (158),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (217),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (222), (223), (224), (226), (228), (229),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (235), (237), (238), (239),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (246), (355), (356), (8767), (8780),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (12678),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14068), (14072), (14073), (14074), (14075),
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14078), (14082), (14262), (function-axioms) are
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14263) all_58_13 = e2 & op(e0, e2) = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14263) implies:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14264) all_58_13 = e2
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14139), (14264) are inconsistent by
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1372.
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14265) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14265) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14266) all_58_4 = e3 & op(e3, e1) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14266) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14267) all_58_4 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14268) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14268) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14269) all_58_0 = e3 & op(e3, e3) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14269) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14270) op(e3, e3) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14124), (14270), (function-axioms) are
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14271) all_58_2 = e3 & op(e2, e3) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14271) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14272) all_58_2 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14273) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (12665), (14267), (14273),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #354.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14274) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14274) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14275) all_58_8 = e1 & op(e1, e1) = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14275) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14276) all_58_8 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (14276) imply:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14277) e1 = e0
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (14277), (function-axioms) are
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14278) all_58_14 = e1 & op(e0, e1) = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14278) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14279) all_58_14 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14181) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14280) all_54_12 = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14155), (14176), (14280) are inconsistent by
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1683.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14281) ~ (all_54_12 = e2)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14282) all_54_12 = e1 | all_54_12 = e0
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14282) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14283) all_54_12 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14155), (14283) imply:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14284) all_34_1 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14284) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14285) all_34_1 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14154), (14285) imply:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14286) all_44_1 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14160), (14285) imply:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14287) ~ (e3 = e1)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14288) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (279), (12661), (14124), (14157),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14169), (14288), (function-axioms) are
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #91.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14289) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14289) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14290) all_58_6 = e1 & op(e1, e3) = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14290) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14291) op(e1, e3) = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (241), (243),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (8765), (14124), (14174), (14186), (14272),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14291), (function-axioms) are inconsistent by
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14292) all_58_12 = e1 & op(e0, e3) = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14292) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14293) all_58_12 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (164), (229), (234), (243),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780), (12678), (14074), (14124), (14133),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14267), (14279), (14286), (14293),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #34.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14294) all_54_12 = e0
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14155), (14161), (14294) are inconsistent by
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1705.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14295) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14295) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14296) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (164), (165), (167), (228),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (234), (241), (243), (279), (8780),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (12678),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14074), (14124), (14133), (14154), (14155),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14157), (14160), (14161), (14169), (14176),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14181), (14267), (14296), (function-axioms) are
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14297) all_58_12 = e3 & op(e0, e3) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14297) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14298) op(e0, e3) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14071), (14298), (function-axioms) are
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14299) all_58_9 = e3 & op(e3, e0) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14299) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14300) op(e3, e0) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (14068), (14073), (14082), (14300),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1035.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14301) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (14068), (14070), (14073), (14082),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14120), (14121), (14301), (function-axioms) are
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #115.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14302) all_54_4 = e1 | all_54_4 = e0
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (12661), (14157), (14302) are inconsistent
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1703.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (14303) ~ (all_54_6 = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (14304) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (14303) imply:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (14305) ~ (all_52_9 = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14304) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14306) all_54_6 = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (14306) imply:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14307) all_52_9 = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14307) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14308) all_52_9 = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (14308) imply:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14309) ~ (all_52_1 = e2)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8794), (14308) imply:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14310) ~ (all_4_1 = e2)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14310) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14311) ~ (all_4_1 = e2)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14305), (14308) imply:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14312) ~ (e3 = e2)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14313) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14313) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14314) all_58_4 = e3 & op(e3, e1) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14314) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14315) all_58_4 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14316) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (12665), (14315), (14316),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #354.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14317) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14317) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14318) all_58_8 = e1 & op(e1, e1) = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14318) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14319) all_58_8 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (14319) imply:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14320) e1 = e0
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (14320), (function-axioms) are
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14321) all_58_14 = e1 & op(e0, e1) = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14321) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14322) all_58_14 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14323) all_54_4 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (14323) imply:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14324) all_52_1 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14324) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14325) all_52_1 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (14325) imply:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14326) ~ (all_52_2 = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14326) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14327) ~ (all_52_2 = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14156), (14325) imply:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14328) ~ (all_34_1 = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14329) all_54_14 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (14077), (14329) are inconsistent by
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #202.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14330) ~ (all_54_14 = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14331) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14332) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14332) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14333) all_58_4 = e2 & op(e3, e1) = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14315), (14333) are inconsistent by
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #980.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14334) all_58_5 = e2 & op(e2, e1) = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14334) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14335) all_58_5 = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14336) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14336) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14337) all_58_0 = e1 & op(e3, e3) = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14337) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14338) op(e3, e3) = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14124), (14338), (function-axioms) are
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14339) all_58_1 = e1 & op(e3, e2) = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14339) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14340) all_58_1 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14341) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14341) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14342) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14342) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14343) op(e1, e3) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (14327), (14343), (function-axioms) are
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #609.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14344) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14344) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14345) all_58_7 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14346) op(e1, e2) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14347) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14347) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14348) all_58_2 = e3 & op(e2, e3) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14348) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14349) all_58_2 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14350) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14350) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14351) all_58_1 = e2 & op(e3, e2) = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14351) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14352) all_58_1 = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (162),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (192), (214),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (224), (231), (232), (241), (242),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (245), (8765), (8780), (8790), (8797),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12663), (12665), (12666), (12677),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14068), (14072), (14073), (14075), (14077),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14082), (14120), (14124), (14128), (14148),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14155), (14158), (14159), (14160), (14161),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14311), (14315), (14331), (14335), (14346),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14349), (14352), (function-axioms) are
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14353) all_58_3 = e2 & op(e2, e2) = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (14353), (function-axioms) are
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14354) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14354) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14355) all_58_7 = e2 & op(e1, e2) = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (168), (222),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (14068), (14073), (14075), (14082),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14089), (14335), (14345), (14349), (14355),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #24.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14356) all_58_13 = e2 & op(e0, e2) = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14356) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14357) all_58_13 = e2
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (235), (238), (12677),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12678), (14340), (14357), (function-axioms) are
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #358.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14358) all_58_3 = e3 & op(e2, e2) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14358) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14359) op(e2, e2) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (14359), (function-axioms) are
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14360) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (14074), (14305), (14360),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1399.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14361) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (168), (242),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (8780), (14068), (14073), (14075),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14082), (14124), (14315), (14361),
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #23.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14362) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14362) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14363) all_58_4 = e1 & op(e3, e1) = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14315), (14363) are inconsistent by
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1008.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14364) all_58_9 = e1 & op(e3, e0) = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14364) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14365) all_58_9 = e1
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14366) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14366) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14367) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14367) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14368) op(e1, e3) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (14327), (14368), (function-axioms) are
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #609.
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14369) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14369) implies:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14370) op(e1, e2) = e3
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14371) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14371) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14372) all_58_0 = e2 & op(e3, e3) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14372) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14373) op(e3, e3) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14124), (14373), (function-axioms) are
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14374) all_58_1 = e2 & op(e3, e2) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14374) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14375) all_58_1 = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14376) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14376) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14377) all_58_2 = e3 & op(e2, e3) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14377) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14378) all_58_2 = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (162),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (192), (214),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (224), (231), (232), (241), (242),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (245), (8765), (8780), (8790), (8797),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12663), (12665), (12666), (12677),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14068), (14072), (14073), (14075), (14077),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14082), (14120), (14124), (14128), (14148),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14155), (14158), (14159), (14160), (14161),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14311), (14315), (14331), (14335), (14370),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14375), (14378), (function-axioms) are
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14379) all_58_3 = e3 & op(e2, e2) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14379) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14380) op(e2, e2) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (14380), (function-axioms) are
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14381) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (14074), (14305), (14381),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1399.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14382) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14382) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14383) all_58_4 = e2 & op(e3, e1) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14383) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14384) all_58_4 = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14315), (14384) are inconsistent by
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1002.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14385) all_58_9 = e2 & op(e3, e0) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14365), (14385) are inconsistent by
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1059.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14386) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (168), (242),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (8780), (14068), (14073), (14075),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14082), (14124), (14315), (14386),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #23.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14387) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14387) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14388) all_58_8 = e2 & op(e1, e1) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14388) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14389) all_58_8 = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (14389) are inconsistent by sub-proof
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #984.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14390) all_58_14 = e2 & op(e0, e1) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14390) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14391) all_58_14 = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14322), (14391) are inconsistent by
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1371.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14392) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (12661), (14157), (14309), (14392) are
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14393) all_58_5 = e3 & op(e2, e1) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14393) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14394) op(e2, e1) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14305), (14394), (function-axioms) are
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14395) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (158),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (217),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (222), (223), (224), (226), (228), (229),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (235), (237), (238), (239),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (246), (355), (356), (8767), (8780),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (12678),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14068), (14072), (14073), (14074), (14075),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14078), (14082), (14395), (function-axioms) are
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14396) all_54_6 = e1 | all_54_6 = e0
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8769), (12665), (14396) are inconsistent
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1744.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | (14397) all_58_11 = e0 & op(e1, e0) = e0
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14397) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | (14398) all_58_11 = e0
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (14399) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14399) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14400) all_58_2 = e0 & op(e2, e3) = e0
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14400) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14401) all_58_2 = e0
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14402) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14124), (14401), (14402), (function-axioms)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #925.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14403) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14403) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14404) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14404) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14405) all_58_6 = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (162), (164), (165), (167), (224),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (8780), (12661), (12663), (12665), (12666),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12677), (14398), (14405), (function-axioms) are
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #83.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14406) all_58_12 = e3 & op(e0, e3) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14406) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14407) op(e0, e3) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14071), (14407), (function-axioms) are
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14408) all_58_3 = e0 & op(e2, e2) = e0
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14408) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14409) all_58_3 = e0
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (14409), (function-axioms) are
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (14410) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14410) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14411) all_58_5 = e0 & op(e2, e1) = e0
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14411) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14412) op(e2, e1) = e0
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8769), (14412), (function-axioms) are
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14413) all_58_10 = e0 & op(e2, e0) = e0
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14413) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14414) all_58_10 = e0
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14415) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14415) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14416) all_58_6 = e1 & op(e1, e3) = e1
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14416) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14417) all_58_6 = e1
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14418) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14418) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14419) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14417), (14419) are inconsistent by
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #968.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14420) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14420) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14421) all_58_7 = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14422) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14422) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14423) all_58_0 = e3 & op(e3, e3) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14423) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14424) op(e3, e3) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14124), (14424), (function-axioms) are
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1923.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14425) all_58_2 = e3 & op(e2, e3) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14425) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14426) all_58_2 = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14427) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (14124), (14426), (14427),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1069.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14428) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14428) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14429) all_58_6 = e2 & op(e1, e3) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14429) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14430) all_58_6 = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14417), (14430) are inconsistent by
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1857.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14431) all_58_12 = e2 & op(e0, e3) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14431) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14432) all_58_12 = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14433) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14433) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14434) all_58_2 = e2 & op(e2, e3) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14426), (14434) are inconsistent by
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1908.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14435) all_58_3 = e2 & op(e2, e2) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (356), (14435), (function-axioms) are
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14436) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14436) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14437) all_58_5 = e2 & op(e2, e1) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14437) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14438) all_58_5 = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14439) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14439) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14440) all_58_6 = e2 & op(e1, e3) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14440) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14441) all_58_6 = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14417), (14441) imply:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14442) e2 = e1
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14432), (14442) imply:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14443) all_58_12 = e1
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (243), (14124), (14417), (14426),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14443), (function-axioms) are inconsistent by
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #431.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14444) all_58_7 = e2 & op(e1, e2) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (168), (222),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (14068), (14073), (14075), (14082),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14089), (14421), (14426), (14438), (14444),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #24.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14445) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14445) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14446) all_58_8 = e2 & op(e1, e1) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (14446) are inconsistent by sub-proof
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #219.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14447) all_58_11 = e2 & op(e1, e0) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14398), (14447) are inconsistent by
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1832.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14448) all_58_10 = e2 & op(e2, e0) = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14448) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14449) all_58_10 = e2
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14414), (14449) are inconsistent by
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1886.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14450) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14450) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14451) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14417), (14451) are inconsistent by
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #968.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14452) all_58_12 = e3 & op(e0, e3) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14452) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14453) op(e0, e3) = e3
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14071), (14453), (function-axioms) are
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14454) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (8780), (14075), (14454),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #167.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14455) all_58_7 = e1 & op(e1, e2) = e1
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14455) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14456) op(e1, e2) = e1
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12663), (14456), (function-axioms) are
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14457) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14457) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14458) all_58_8 = e1 & op(e1, e1) = e1
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (8780), (12661),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (14458),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #85.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14459) all_58_11 = e1 & op(e1, e0) = e1
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (14398), (14459),
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #84.
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | End of split
% 202.88/34.04 | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | (14460) all_28_2 = e1
% 202.88/34.04 | | | | | | | | | | | | | | | (14461) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 202.88/34.04 | | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 202.88/34.04 | | | | | | | | | | | | | | | e3) = all_28_0 & $i(all_28_0)))
% 202.88/34.04 | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | ALPHA: (14461) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | (14462) op(e1, e3) = all_28_1
% 202.88/34.04 | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | COMBINE_EQS: (334), (14460) imply:
% 202.88/34.04 | | | | | | | | | | | | | | | (14463) all_14_2 = e1
% 202.88/34.04 | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | REDUCE: (362), (14463) imply:
% 202.88/34.04 | | | | | | | | | | | | | | | (14464) ~ (all_52_2 = e1)
% 202.88/34.04 | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | REDUCE: (355), (14463) imply:
% 202.88/34.04 | | | | | | | | | | | | | | | (14465) ~ (e3 = e1)
% 202.88/34.04 | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | REDUCE: (51), (14463) imply:
% 202.88/34.04 | | | | | | | | | | | | | | | (14466) op(e3, e3) = e1
% 202.88/34.04 | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 202.88/34.04 | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | (14467) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 202.88/34.04 | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 202.88/34.04 | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | BETA: splitting (14467) gives:
% 202.88/34.04 | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.04 | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | (14468) all_58_4 = e1 & op(e3, e1) = e1
% 202.88/34.04 | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | ALPHA: (14468) implies:
% 202.88/34.04 | | | | | | | | | | | | | | | | | (14469) all_58_4 = e1
% 202.88/34.04 | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (67), (168), (240),
% 202.88/34.04 | | | | | | | | | | | | | | | | | (244), (246), (14068), (14069), (14073), (14466),
% 202.88/34.04 | | | | | | | | | | | | | | | | | (14469), (function-axioms) are inconsistent by
% 202.88/34.04 | | | | | | | | | | | | | | | | | sub-proof #287.
% 202.88/34.04 | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.04 | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | (14470) all_58_5 = e1 & op(e2, e1) = e1
% 202.88/34.04 | | | | | | | | | | | | | | | | |
% 202.88/34.04 | | | | | | | | | | | | | | | | | ALPHA: (14470) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | (14471) op(e2, e1) = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12665), (14471), (function-axioms) are
% 202.88/34.05 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 202.88/34.05 | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | (14472) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 202.88/34.05 | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 202.88/34.05 | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | BETA: splitting (14472) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | (14473) all_58_8 = e1 & op(e1, e1) = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | ALPHA: (14473) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | (14474) all_58_8 = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (14474) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | (14475) e1 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/34.05 | | | | | | | | | | | | | | | | | (12666), (12677), (14475), (function-axioms) are
% 202.88/34.05 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 202.88/34.05 | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | (14476) all_58_14 = e1 & op(e0, e1) = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | ALPHA: (14476) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | (14477) all_58_14 = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | (14478) op(e0, e1) = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | (14479) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 202.88/34.05 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 202.88/34.05 | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | BETA: splitting (14479) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14480) all_58_9 = e1 & op(e3, e0) = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | ALPHA: (14480) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14481) all_58_9 = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (165), (167),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (168), (169), (232), (240), (244), (246), (8768),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (14068),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14073), (14082), (14466), (14481),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | #21.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14482) all_58_10 = e1 & op(e2, e0) = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (12666), (14482), (function-axioms) are
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #430.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | (14483) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 202.88/34.05 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 202.88/34.05 | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | BETA: splitting (14483) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14484) all_58_11 = e1 & op(e1, e0) = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | ALPHA: (14484) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14485) all_58_11 = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14486) op(e1, e0) = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1, e1,
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (8762), (14478) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14487) all_4_1 = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (14486) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14488) all_52_14 = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | all_28_1, e3, e1, simplifying with (163), (14462)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14489) all_52_2 = all_28_1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (14489) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14490) all_54_8 = all_28_1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | REDUCE: (149), (14489) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14491) ~ (all_52_1 = all_28_1)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | REDUCE: (144), (14489) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14492) ~ (all_52_3 = all_28_1)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | SIMP: (14492) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14493) ~ (all_52_3 = all_28_1)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | REDUCE: (12684), (14489) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14494) ~ (all_28_1 = all_6_1)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | REDUCE: (14464), (14489) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14495) ~ (all_28_1 = e1)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | REDUCE: (8766), (14489) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14496) ~ (all_28_1 = e0)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | REDUCE: (8791), (14487) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14497) ~ (all_52_3 = e1)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (14487) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14498) ~ (all_52_8 = e1)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | REDUCE: (12689), (14488) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | (14499) ~ (all_6_1 = e1)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | (14500) all_54_9 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12683), (14500) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | (14501) all_6_1 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12682), (14501) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | (14502) all_18_1 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (14494), (14501) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | (14503) ~ (all_28_1 = e3)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | (14504) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14504) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | (14505) all_58_1 = e3 & op(e3, e2) = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14505) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | (14506) all_58_1 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | (14507) all_54_8 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14490), (14507) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | (14508) all_28_1 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14503), (14508) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | (14509) $false
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14509) is inconsistent.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | (14510) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | (14511) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14511) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | (14512) all_58_6 = e2 & op(e1, e3) = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14512) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | (14513) all_58_6 = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (14514) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (164), (165), (167), (232), (12661),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (14506), (14514),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | #39.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (14515) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14515) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14516) all_58_7 = e0 & op(e1, e2) = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14516) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14517) op(e1, e2) = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8767), (14517), (function-axioms) are
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14518) all_58_13 = e0 & op(e0, e2) = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14518) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14519) all_58_13 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (218), (239),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (14071), (14089), (14466), (14477),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14513), (14519), (function-axioms) are
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #112.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | (14520) all_58_7 = e2 & op(e1, e2) = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14520) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | (14521) all_58_7 = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (14522) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14522) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14523) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14523) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14524) all_58_6 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14525) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (164), (165), (167), (232), (12661),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (14506), (14525),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #39.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14526) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14526) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14527) all_58_7 = e0 & op(e1, e2) = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14527) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14528) op(e1, e2) = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8767), (14528), (function-axioms) are
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14529) all_58_13 = e0 & op(e0, e2) = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14529) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14530) all_58_13 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14531) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14531) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14532) all_58_12 = e2 & op(e0, e3) = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14532) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14533) all_58_12 = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14510) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14534) all_54_8 = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14490), (14534) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14535) all_28_1 = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14535) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14536) all_28_1 = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14491), (14536) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14537) ~ (all_52_1 = e2)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14493), (14536) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14538) ~ (all_52_3 = e2)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14539) all_54_12 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (14071), (14539) are inconsistent by
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1471.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14540) ~ (all_54_12 = e3)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14541) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14541) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14542) all_54_12 = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (14538), (14542) are inconsistent by
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1470.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14543) ~ (all_54_12 = e2)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14544) all_54_12 = e1 | all_54_12 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14544) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14545) all_54_12 = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (14497), (14545) are inconsistent by
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1469.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14546) all_54_12 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (14546) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14547) all_52_3 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14547) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14548) all_52_3 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (14548) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14549) ~ (all_52_1 = e0)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14071), (14548) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14550) ~ (e3 = e0)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14538), (14548) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14551) ~ (e2 = e0)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14552) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14552) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14553) all_58_2 = e3 & op(e2, e3) = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14553) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14554) all_58_2 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (239), (241), (14524),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14533), (14554), (function-axioms) are
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #580.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14555) all_58_3 = e3 & op(e2, e2) = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14555) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14556) all_58_3 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14557) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14557) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14558) all_58_1 = e1 & op(e3, e2) = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14506), (14558) are inconsistent by
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1921.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12677), (14556) are inconsistent by
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1177.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14559) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14559) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14560) all_58_7 = e1 & op(e1, e2) = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14560) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14561) all_58_7 = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14521), (14561) are inconsistent by
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1851.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14562) all_58_13 = e1 & op(e0, e2) = e1
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14530), (14562) are inconsistent by
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1273.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14563) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14563) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14564) all_58_5 = e3 & op(e2, e1) = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14564) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14565) op(e2, e1) = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14566) all_54_4 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (14566) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14567) all_52_1 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14567) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14568) all_52_1 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (14568) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14569) ~ (all_52_9 = e3)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14569) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14570) ~ (all_52_9 = e3)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14565), (14570), (function-axioms) are
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14571) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (12661), (14537), (14549), (14571) are
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14572) all_58_10 = e3 & op(e2, e0) = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14572) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14573) op(e2, e0) = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14074), (14573), (function-axioms) are
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14574) all_54_8 = e1 | all_54_8 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14490), (14495), (14496), (14574) are
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14575) all_58_13 = e2 & op(e0, e2) = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14575) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14576) all_58_13 = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14530), (14576) are inconsistent by
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1372.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14577) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14577) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14578) all_58_14 = e2 & op(e0, e1) = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14578) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14579) all_58_14 = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14477), (14579) are inconsistent by
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1371.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14580) all_58_15 = e2 & op(e0, e0) = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (218), (239),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (14071), (14089), (14466), (14477),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14524), (14530), (14580), (function-axioms) are
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14581) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14581) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14582) all_58_7 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14521), (14582) are inconsistent by
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1627.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (14583) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (223),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (238), (8780), (12678), (14072),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (14075), (14506), (14521), (14583),
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | #31.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | (14584) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8780), (14485), (14584) are
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | (14585) all_58_3 = e3 & op(e2, e2) = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14585) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | (14586) op(e2, e2) = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (14586), (function-axioms) are
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | (14587) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14587) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | (14588) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14588) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | (14589) all_58_7 = e3
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | (14590) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14590) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | (14591) all_58_6 = e2 & op(e1, e3) = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14591) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | (14592) all_58_6 = e2
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12672) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | (14593) ~ (all_18_1 = e3)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14502), (14593) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | (14594) $false
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14594) is inconsistent.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | (14595) ~ (all_18_0 = e0) & op(e3, e2) = all_18_0 &
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_0)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14595) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | (14596) ~ (all_18_0 = e0)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | (14597) op(e3, e2) = all_18_0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (14598) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14598) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14599) all_58_1 = e0 & op(e3, e2) = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14599) implies:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14600) op(e3, e2) = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_18_0,
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (14597), (14600) gives:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14601) all_18_0 = e0
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14596), (14601) imply:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14602) $false
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14602) is inconsistent.
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14603) all_58_3 = e0 & op(e2, e2) = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14603) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14604) all_58_3 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (14604), (function-axioms) are
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (14605) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14605) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14606) all_58_7 = e0 & op(e1, e2) = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14606) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14607) op(e1, e2) = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8767), (14607), (function-axioms) are
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14608) all_58_13 = e0 & op(e0, e2) = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14608) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14609) all_58_13 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (218), (239),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (14071), (14089), (14466), (14477),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14592), (14609), (function-axioms) are
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #112.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | (14610) all_58_7 = e2 & op(e1, e2) = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14589), (14610) are inconsistent by
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1770.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | (14611) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8780), (14485), (14611) are
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | (14612) all_58_13 = e3 & op(e0, e2) = e3
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14612) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | (14613) op(e0, e2) = e3
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (14072), (14613), (function-axioms) are
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | (14614) ~ (all_54_9 = e3)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | (14615) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (12683), (14614) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | (14616) ~ (all_6_1 = e3)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | (14617) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14617) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | (14618) all_58_1 = e3 & op(e3, e2) = e3
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14618) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | (14619) all_58_1 = e3
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | (14620) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (14466), (14619), (14620),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | #1409.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | (14621) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14621) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | (14622) all_58_4 = e0 & op(e3, e1) = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8768), (14622), (function-axioms) are
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #700.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | (14623) all_58_9 = e0 & op(e3, e0) = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14623) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | (14624) all_58_9 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | (14625) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14625) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (14626) all_58_6 = e3 & op(e1, e3) = e3
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14626) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (14627) all_58_6 = e3
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14628) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (164), (165), (167), (232), (12661),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (14619), (14628),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | #39.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14629) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14629) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14630) all_58_7 = e0 & op(e1, e2) = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14630) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14631) op(e1, e2) = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8767), (14631), (function-axioms) are
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14632) all_58_13 = e0 & op(e0, e2) = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14632) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14633) all_58_13 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14634) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14634) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14635) all_58_0 = e2 & op(e3, e3) = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14635) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14636) op(e3, e3) = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14466), (14636), (function-axioms) are
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14637) all_58_1 = e2 & op(e3, e2) = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14637) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14638) all_58_1 = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14619), (14638) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14639) e3 = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14627), (14639) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14640) all_58_6 = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (218), (239),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (14071), (14089), (14466), (14477),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14633), (14640), (function-axioms) are
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #112.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14641) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14641) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14642) all_58_4 = e2 & op(e3, e1) = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14642) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14643) all_58_4 = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14644) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14644) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14645) all_58_12 = e2 & op(e0, e3) = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14645) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14646) all_58_12 = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14647) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14647) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14648) all_58_0 = e0 & op(e3, e3) = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14648) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14649) op(e3, e3) = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (242), (244),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (14068), (14073), (14082), (14624),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14649), (function-axioms) are inconsistent by
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14650) all_58_2 = e0 & op(e2, e3) = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14650) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14651) op(e2, e3) = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14615) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14652) all_54_9 = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12683), (14652) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14653) all_6_1 = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14653) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14654) all_6_1 = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12685), (14654) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14655) ~ (all_52_4 = e2)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12687), (14654) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14656) ~ (all_52_7 = e2)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14657) all_54_13 = e3
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (14072), (14657) are inconsistent by
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1294.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14658) ~ (all_54_13 = e3)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14659) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14659) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14660) all_54_13 = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (14656), (14660) are inconsistent by
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1284.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14661) all_54_13 = e1 | all_54_13 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14661) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14662) all_54_13 = e1
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (12664), (14662) are inconsistent by
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1283.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14663) all_54_13 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (14663) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14664) all_52_7 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14664) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14665) all_52_7 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (14665) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14666) ~ (all_52_3 = e0)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (14665) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14667) ~ (all_52_4 = e0)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14668) all_54_1 = e3
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (14668) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14669) all_52_4 = e3
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14669) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14670) all_52_4 = e3
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (14670) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14671) ~ (all_52_8 = e3)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14671) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14672) ~ (all_52_8 = e3)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14673) all_54_2 = e3
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (14672), (14673) are inconsistent by
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #983.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14674) ~ (all_54_2 = e3)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14675) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14675) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14676) all_54_2 = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (14676) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14677) all_52_8 = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14677) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14678) all_52_8 = e2
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (14678) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14679) ~ (all_52_9 = e2)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14679) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14680) ~ (all_52_9 = e2)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14672), (14678) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14681) ~ (e3 = e2)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14682) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14682) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14683) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14683) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14684) op(e0, e2) = all_56_10
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14685) all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (158), (218), (14072), (14089),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14477), (14633), (14684), (14685),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #111.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14686) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12660), (14680), (14686),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #75.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14687) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (164), (14070), (14074), (14651), (14666),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14687), (function-axioms) are inconsistent by
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #19.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14688) all_54_2 = e1 | all_54_2 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8768), (14498), (14688) are inconsistent
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #188.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14689) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (12662), (14655), (14667), (14689) are
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1775.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14690) all_54_9 = e1 | all_54_9 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (8767), (12663), (14690) are inconsistent
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1242.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14691) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14691) gives:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14692) all_58_6 = e0 & op(e1, e3) = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14692) implies:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14693) all_58_6 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14627), (14693) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14694) e3 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14619), (14694) imply:
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14695) all_58_1 = e0
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (246), (14068), (14073),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14082), (14466), (14643), (14695),
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #131.
% 202.88/34.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14696) all_58_12 = e0 & op(e0, e3) = e0
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14646), (14696) are inconsistent by
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1267.
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14697) all_58_13 = e2 & op(e0, e2) = e2
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14697) implies:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14698) all_58_13 = e2
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14633), (14698) are inconsistent by
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1372.
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14699) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14699) gives:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14700) all_58_14 = e2 & op(e0, e1) = e2
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14700) implies:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14701) all_58_14 = e2
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14477), (14701) imply:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14702) e2 = e1
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14702) implies:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14703) e2 = e1
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14643), (14703) imply:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14704) all_58_4 = e1
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (240), (244), (14466),
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14619), (14704), (function-axioms) are
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #288.
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14705) all_58_15 = e2 & op(e0, e0) = e2
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (218), (239),
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (14071), (14089), (14466), (14477),
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14627), (14633), (14705), (function-axioms) are
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14706) all_58_9 = e2 & op(e3, e0) = e2
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14624), (14706) are inconsistent by
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1915.
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (14707) all_58_7 = e3 & op(e1, e2) = e3
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14707) implies:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (14708) all_58_7 = e3
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (140), (159),
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (191), (216), (218), (225),
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (239), (245), (256), (267), (358), (8767),
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (8780), (12661), (12663), (12664), (12665),
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (12683), (12687), (12690),
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (12691), (14071), (14072), (14089), (14466),
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (14477), (14485), (14615), (14616), (14708),
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | #18.
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | (14709) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (8780), (14075), (14709),
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | #167.
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | End of split
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | (14710) all_58_3 = e3 & op(e2, e2) = e3
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 202.88/34.07 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14710) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (14711) op(e2, e2) = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (14711), (function-axioms) are
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | (14712) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14712) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (14713) all_58_7 = e3 & op(e1, e2) = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14713) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (14714) all_58_7 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (140), (159),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (191), (216), (218), (225),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (232), (239), (245), (256), (267), (358), (8767),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (8780), (12661), (12663), (12664), (12665),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (12683), (12687), (12690),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (12691), (14071), (14072), (14089), (14466),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (14477), (14485), (14615), (14616), (14714),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | #18.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (14715) all_58_13 = e3 & op(e0, e2) = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14715) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (14716) op(e0, e2) = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (14072), (14716), (function-axioms) are
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.07 | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | (14717) all_58_15 = e1 & op(e0, e0) = e1
% 203.05/34.07 | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (216),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | (218), (219), (358), (14072), (14477), (14717),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | #377.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.07 | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | End of split
% 203.05/34.07 | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | End of split
% 203.05/34.07 | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | End of split
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | End of split
% 203.05/34.07 | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | (14718) all_14_2 = e2
% 203.05/34.07 | | | | | | | | | | | | | | (14719) op(e2, e3) = all_14_1 & $i(all_14_1) & ( ~
% 203.05/34.07 | | | | | | | | | | | | | | (all_14_1 = e1) | ( ~ (all_14_0 = e0) & op(e1,
% 203.05/34.07 | | | | | | | | | | | | | | e3) = all_14_0 & $i(all_14_0)))
% 203.05/34.07 | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | ALPHA: (14719) implies:
% 203.05/34.07 | | | | | | | | | | | | | | (14720) op(e2, e3) = all_14_1
% 203.05/34.07 | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | COMBINE_EQS: (339), (14718) imply:
% 203.05/34.07 | | | | | | | | | | | | | | (14721) all_22_2 = e2
% 203.05/34.07 | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | COMBINE_EQS: (290), (14718) imply:
% 203.05/34.07 | | | | | | | | | | | | | | (14722) all_56_12 = e2
% 203.05/34.07 | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | REDUCE: (360), (14718) imply:
% 203.05/34.07 | | | | | | | | | | | | | | (14723) ~ (all_52_1 = e2)
% 203.05/34.07 | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | REDUCE: (362), (14718) imply:
% 203.05/34.07 | | | | | | | | | | | | | | (14724) ~ (all_52_2 = e2)
% 203.05/34.07 | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | REDUCE: (368), (14718) imply:
% 203.05/34.07 | | | | | | | | | | | | | | (14725) ~ (all_52_8 = e2)
% 203.05/34.07 | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | REDUCE: (14098), (14718) imply:
% 203.05/34.07 | | | | | | | | | | | | | | (14726) ~ (all_10_1 = e2)
% 203.05/34.07 | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | SIMP: (14726) implies:
% 203.05/34.07 | | | | | | | | | | | | | | (14727) ~ (all_10_1 = e2)
% 203.05/34.07 | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | REDUCE: (355), (14718) imply:
% 203.05/34.07 | | | | | | | | | | | | | | (14728) ~ (e3 = e2)
% 203.05/34.07 | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | REDUCE: (51), (14718) imply:
% 203.05/34.07 | | | | | | | | | | | | | | (14729) op(e3, e3) = e2
% 203.05/34.07 | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 203.05/34.07 | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | (14730) ~ (all_22_2 = e2)
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | REDUCE: (14721), (14730) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | (14731) $false
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | CLOSE: (14731) is inconsistent.
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | (14732) op(e2, e3) = all_22_1 & $i(all_22_1) & ( ~
% 203.05/34.07 | | | | | | | | | | | | | | | (all_22_1 = e0) | ( ~ (all_22_0 = e1) & op(e0,
% 203.05/34.07 | | | | | | | | | | | | | | | e3) = all_22_0 & $i(all_22_0)))
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | ALPHA: (14732) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | (14733) op(e2, e3) = all_22_1
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 203.05/34.07 | | | | | | | | | | | | | | | all_14_1, e3, e2, simplifying with (167), (14720)
% 203.05/34.07 | | | | | | | | | | | | | | | gives:
% 203.05/34.07 | | | | | | | | | | | | | | | (14734) all_52_1 = all_14_1
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 203.05/34.07 | | | | | | | | | | | | | | | all_22_1, e3, e2, simplifying with (167), (14733)
% 203.05/34.07 | | | | | | | | | | | | | | | gives:
% 203.05/34.07 | | | | | | | | | | | | | | | (14735) all_52_1 = all_22_1
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | COMBINE_EQS: (14734), (14735) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | (14736) all_22_1 = all_14_1
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | SIMP: (14736) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | (14737) all_22_1 = all_14_1
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | COMBINE_EQS: (279), (14734) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | (14738) all_54_4 = all_14_1
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | REDUCE: (148), (14734) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | (14739) ~ (all_52_3 = all_14_1)
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | SIMP: (14739) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | (14740) ~ (all_52_3 = all_14_1)
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | REDUCE: (146), (14734) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | (14741) ~ (all_52_9 = all_14_1)
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | SIMP: (14741) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | (14742) ~ (all_52_9 = all_14_1)
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | REDUCE: (14723), (14734) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | (14743) ~ (all_14_1 = e2)
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | REDUCE: (12661), (14734) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | (14744) ~ (all_14_1 = e1)
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 203.05/34.07 | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | (14745) all_54_6 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (14745) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | (14746) all_52_9 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | SIMP: (14746) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | (14747) all_52_9 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | REDUCE: (123), (14747) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | (14748) ~ (all_52_8 = e3)
% 203.05/34.07 | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | REDUCE: (117), (14747) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | (14749) ~ (all_52_13 = e3)
% 203.05/34.07 | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | REDUCE: (14742), (14747) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | (14750) ~ (all_14_1 = e3)
% 203.05/34.07 | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | SIMP: (14750) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | (14751) ~ (all_14_1 = e3)
% 203.05/34.07 | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | (14752) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 203.05/34.07 | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | BETA: splitting (14752) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | (14753) all_58_2 = e3 & op(e2, e3) = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | ALPHA: (14753) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | (14754) all_58_2 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | (14755) all_54_2 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (14755) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | (14756) all_52_8 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | REDUCE: (14748), (14756) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | (14757) $false
% 203.05/34.07 | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | CLOSE: (14757) is inconsistent.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | (14758) ~ (all_54_2 = e3)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | (14759) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 203.05/34.07 | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (14759) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | (14760) all_54_2 = e2
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (14760) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | (14761) all_52_8 = e2
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (14725), (14761) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | (14762) $false
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | CLOSE: (14762) is inconsistent.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | (14763) ~ (all_54_2 = e2)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | (14764) all_54_2 = e1 | all_54_2 = e0
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | (14765) all_54_4 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14738), (14751), (14765) are inconsistent by
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | sub-proof #1219.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | (14766) ~ (all_54_4 = e3)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | (14767) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14767) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (14768) all_54_4 = e2
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14738), (14743), (14768) are inconsistent by
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1218.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (14769) ~ (all_54_4 = e2)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | (14770) all_54_4 = e1 | all_54_4 = e0
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14764) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | (14771) all_54_2 = e1
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (14771) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | (14772) all_52_8 = e1
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (14772) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | (14773) ~ (all_4_1 = e1)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14773) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | (14774) ~ (all_4_1 = e1)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14748), (14772) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | (14775) ~ (e3 = e1)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | (14776) all_54_14 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (14776) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | (14777) all_4_1 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14077), (14777) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | (14778) $false
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14778) is inconsistent.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | (14779) ~ (all_54_14 = e3)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | (14780) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | (14781) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14781) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (14782) all_58_0 = e1 & op(e3, e3) = e1
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14782) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (14783) op(e3, e3) = e1
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14729), (14783), (function-axioms) are
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (14784) all_58_1 = e1 & op(e3, e2) = e1
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14784) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (14785) all_58_1 = e1
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14786) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14786) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14787) all_58_4 = e3 & op(e3, e1) = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14787) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14788) all_58_4 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14789) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14789) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14790) all_58_4 = e2 & op(e3, e1) = e2
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14790) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14791) all_58_4 = e2
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14788), (14791) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14792) e3 = e2
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14754), (14792) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14793) all_58_2 = e2
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (14729), (14793), (function-axioms)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1234.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14794) all_58_5 = e2 & op(e2, e1) = e2
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14794) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14795) all_58_5 = e2
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14796) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14796) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14797) all_58_1 = e3 & op(e3, e2) = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14797) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14798) all_58_1 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14785), (14798) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14799) e3 = e1
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14799) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14800) e3 = e1
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14788), (14800) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14801) all_58_4 = e1
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (140),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (191), (214), (217), (218), (222), (223),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (229), (230), (231), (232), (233),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (237), (238), (239), (240), (241),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (245), (246), (256), (355), (356),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8762), (8767), (8780), (8790), (8792), (8797),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12664), (12665), (12666), (12677),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12678), (14068), (14070), (14071), (14072),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14073), (14074), (14075), (14077), (14078),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14082), (14722), (14729), (14774), (14780),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14801), (function-axioms) are inconsistent by
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14802) all_58_3 = e3 & op(e2, e2) = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14802) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14803) op(e2, e2) = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (14803), (function-axioms) are
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14804) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14804) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14805) all_58_7 = e3 & op(e1, e2) = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14805) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14806) all_58_7 = e3
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14807) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (140),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (191), (214), (217), (218), (222), (223),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (229), (230), (231), (232), (233),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (237), (238), (239), (240), (241),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (245), (246), (256), (355), (356),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8762), (8767), (8780), (8790), (8792), (8797),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12664), (12665), (12666), (12677),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12678), (14068), (14070), (14071), (14072),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14073), (14074), (14075), (14077), (14078),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14082), (14722), (14729), (14774), (14780),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14807), (function-axioms) are inconsistent by
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14808) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14808) gives:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14809) all_58_8 = e1 & op(e1, e1) = e1
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14809) implies:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14810) all_58_8 = e1
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8780), (14810) imply:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14811) e1 = e0
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (14811), (function-axioms) are
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14812) all_58_14 = e1 & op(e0, e1) = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14812) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14813) all_58_14 = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14814) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14814) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14815) all_58_12 = e2 & op(e0, e3) = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14815) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14816) all_58_12 = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14817) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (163), (239),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (245), (355), (14724), (14729), (14754),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14806), (14817), (function-axioms) are
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14818) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14818) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14819) all_58_8 = e2 & op(e1, e1) = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14819) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14820) all_58_8 = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14821) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (168),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (246), (355), (356), (14068),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14073), (14082), (14729), (14821),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #484.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14822) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14822) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14823) all_58_7 = e2 & op(e1, e2) = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14823) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14824) all_58_7 = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (14075), (14820), (14824),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #506.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14825) all_58_13 = e2 & op(e0, e2) = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14825) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14826) all_58_13 = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14827) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14827) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14828) all_58_12 = e1 & op(e0, e3) = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14816), (14828) are inconsistent by
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1734.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14829) all_58_13 = e1 & op(e0, e2) = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14829) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14830) all_58_13 = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14826), (14830) are inconsistent by
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1671.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14831) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14831) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14832) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (12661), (14729), (14832),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #401.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14833) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14833) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14834) all_58_6 = e1 & op(e1, e3) = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14834) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14835) all_58_6 = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14836) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14836) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14837) all_58_0 = e3 & op(e3, e3) = e3
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (355), (14837), (function-axioms) are
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (45), (216), (241), (358),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14729), (14754), (14813), (14816), (14826),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14835), (function-axioms) are inconsistent by
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14838) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (14071), (14835), (14838),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #58.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14839) all_58_12 = e1 & op(e0, e3) = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14816), (14839) are inconsistent by
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1734.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14840) all_58_15 = e1 & op(e0, e0) = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14840) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14841) op(e0, e0) = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14078), (14841), (function-axioms) are
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1873.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14842) all_58_11 = e2 & op(e1, e0) = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14842) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14843) all_58_11 = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14844) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14844) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14845) all_58_6 = e1 & op(e1, e3) = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14845) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14846) all_58_6 = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14847) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (168),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (246), (355), (356), (14068),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14073), (14082), (14729), (14847),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #484.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14848) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14848) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14849) all_58_7 = e2 & op(e1, e2) = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (14729), (14754), (14806), (14849),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #413.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14850) all_58_13 = e2 & op(e0, e2) = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14850) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14851) all_58_13 = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (45), (216), (241), (358),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14729), (14754), (14813), (14816), (14846),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14851), (function-axioms) are inconsistent by
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14852) all_58_7 = e1 & op(e1, e2) = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14852) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14853) op(e1, e2) = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12663), (14853), (function-axioms) are
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14854) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (164), (165), (167), (232), (8780),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (14843),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14854), (function-axioms) are inconsistent by
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #26.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14855) all_58_13 = e2 & op(e0, e2) = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14855) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14856) all_58_13 = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (235), (12677), (14785), (14806),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14856) are inconsistent by sub-proof #359.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14857) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14857) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14858) all_58_14 = e2 & op(e0, e1) = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14813), (14858) are inconsistent by
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1433.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14859) all_58_15 = e2 & op(e0, e0) = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14859) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14860) all_58_15 = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (168), (222),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (14068), (14073), (14075), (14082),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14754), (14795), (14860), (function-axioms) are
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14861) all_58_13 = e3 & op(e0, e2) = e3
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14861) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14862) op(e0, e2) = e3
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (14072), (14862), (function-axioms) are
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14863) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (140),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (191), (214), (217), (218), (222), (223),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (228), (229), (230), (231), (232),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (237), (238), (239), (240),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (244), (245), (246), (256), (355),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356), (8762), (8767), (8780), (8790), (8792),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797), (12661), (12664), (12665), (12666),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12677), (12678), (14068), (14070), (14071),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14072), (14073), (14074), (14075), (14077),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14078), (14082), (14722), (14729), (14774),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14780), (14863), (function-axioms) are
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #7.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14864) all_58_5 = e3 & op(e2, e1) = e3
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14864) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14865) all_58_5 = e3
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (140),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (191), (214), (218), (223), (224), (226),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (233), (234), (235),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (244),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (256), (355), (356), (8762), (8767),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8769), (8780), (8790), (8792), (8797), (12661),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12664), (12665), (12666), (12677), (12678),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14068), (14070), (14071), (14072), (14073),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14074), (14075), (14077), (14082), (14089),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14722), (14729), (14774), (14780), (14785),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14865), (function-axioms) are inconsistent by
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #4.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14866) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (158),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (217),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (222), (223), (224), (226), (228), (229),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (235), (237), (238), (239),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (246), (355), (356), (8767), (8780),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (12678),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14068), (14072), (14073), (14074), (14075),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14078), (14082), (14866), (function-axioms) are
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | (14867) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14867) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (14868) all_58_4 = e1 & op(e3, e1) = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14868) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (14869) all_58_4 = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (140),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (191), (214), (217), (218), (222), (223),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (229), (230), (231), (232), (233),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (237), (238), (239), (240), (241),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (245), (246), (256), (355), (356),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (8762), (8767), (8780), (8790), (8792), (8797),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12664), (12665), (12666), (12677),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (12678), (14068), (14070), (14071), (14072),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (14073), (14074), (14075), (14077), (14078),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (14082), (14722), (14729), (14774), (14780),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (14869), (function-axioms) are inconsistent by
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (14870) all_58_9 = e1 & op(e3, e0) = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14870) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (14871) all_58_9 = e1
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14872) all_58_15 = e0 & op(e0, e0) = e0
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (14872), (function-axioms) are
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14873) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14873) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14874) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14875) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14875) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14876) all_58_9 = e0 & op(e3, e0) = e0
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14876) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14877) all_58_9 = e0
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (14871), (14877),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #101.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14878) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14878) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14879) all_58_10 = e0 & op(e2, e0) = e0
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14879) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14880) all_58_10 = e0
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14881) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14881) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14882) all_58_4 = e2 & op(e3, e1) = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14882) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14883) all_58_4 = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14884) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14884) gives:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14885) all_58_4 = e3 & op(e3, e1) = e3
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14885) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14886) all_58_4 = e3
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14883), (14886) imply:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14887) e3 = e2
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (14729), (14754), (14887),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14888) all_58_5 = e3 & op(e2, e1) = e3
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14888) implies:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14889) all_58_5 = e3
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (233),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (245), (355), (356), (14729),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14880), (14889), (function-axioms) are
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14890) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (158),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (217),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (222), (223), (224), (226), (228), (229),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (235), (237), (238), (239),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (246), (355), (356), (8767), (8780),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (12678),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14068), (14072), (14073), (14074), (14075),
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14078), (14082), (14890), (function-axioms) are
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 203.05/34.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14891) all_58_5 = e2 & op(e2, e1) = e2
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14891) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14892) all_58_5 = e2
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14893) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (14729), (14754), (14893),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1266.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14894) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14894) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14895) all_58_6 = e0 & op(e1, e3) = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14895) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14896) all_58_6 = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14780) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14897) all_54_14 = e2
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (14897) imply:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14898) all_4_1 = e2
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8762), (14898) imply:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14899) op(e0, e1) = e2
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14900) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14900) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14901) all_58_4 = e1 & op(e3, e1) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14901) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14902) all_58_4 = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (158),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (223),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (232), (235), (237), (238), (239),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (244), (246), (355), (356),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8767), (8780), (12661), (12665), (12666),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12677), (12678), (14068), (14072), (14073),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14075), (14082), (14729), (14754), (14896),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14902), (function-axioms) are inconsistent by
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #16.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14903) all_58_5 = e1 & op(e2, e1) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14903) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14904) op(e2, e1) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12665), (14904), (function-axioms) are
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14905) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14905) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14906) all_58_8 = e1 & op(e1, e1) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (8780), (12661),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (14906),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #85.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14907) all_58_14 = e1 & op(e0, e1) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14907) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14908) all_58_14 = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14909) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14909) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14910) all_58_0 = e1 & op(e3, e3) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14910) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14911) op(e3, e3) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (165), (167),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (232), (240), (244), (246), (8768),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (14068),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14073), (14082), (14871), (14911),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #21.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14912) all_58_2 = e1 & op(e2, e3) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14912) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14913) op(e2, e3) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12661), (14913), (function-axioms) are
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #470.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14914) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14914) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14915) all_58_6 = e1 & op(e1, e3) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (39), (51), (158), (159), (160),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (214), (218),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (228), (232), (235), (237),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (244), (246),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (356), (8765), (8767), (8780), (12661),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (12678), (14068),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14070), (14072), (14073), (14074), (14075),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14082), (14089), (14720), (14729), (14738),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14740), (14743), (14744), (14751), (14754),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14770), (14874), (14915), (function-axioms) are
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14916) all_58_12 = e1 & op(e0, e3) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14916) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14917) all_58_12 = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14918) op(e0, e3) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14770) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14919) all_54_4 = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14738), (14744), (14919) are inconsistent by
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1217.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14920) all_54_4 = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14738), (14920) imply:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14921) all_14_1 = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14921) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14922) all_14_1 = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14740), (14922) imply:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14923) ~ (all_52_3 = e0)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14743), (14922) imply:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14924) ~ (e2 = e0)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14720), (14922) imply:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14925) op(e2, e3) = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14926) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14926) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14927) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14927) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14928) op(e0, e2) = all_56_10
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14929) all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14874) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14930) all_58_12 = e0 & op(e0, e3) = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14930) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14931) op(e0, e3) = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14923), (14931), (function-axioms) are
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #290.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14932) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14932) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14933) all_58_13 = e0 & op(e0, e2) = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14933) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14934) all_58_13 = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (158), (218), (14072), (14089),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14908), (14928), (14929), (14934),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #111.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14935) all_58_14 = e0 & op(e0, e1) = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14935) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14936) all_58_14 = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14908), (14936) imply:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14937) e1 = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14937) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14938) e1 = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12677), (14938) imply:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14939) all_58_3 = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12673) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14940) all_58_2 = e1 & op(e2, e3) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14940) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14941) all_58_2 = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14754), (14941) are inconsistent by
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1859.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (217), (218), (14078),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14089), (14908), (14917), (14938),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #380.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14942) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14942) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14943) all_58_5 = e1 & op(e2, e1) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14943) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14944) all_58_5 = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14892), (14944) are inconsistent by
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1898.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14945) all_58_10 = e1 & op(e2, e0) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14945) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14946) all_58_10 = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (217), (218), (14078),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14089), (14908), (14917), (14938),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #380.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14947) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14899), (14918), (14947), (function-axioms)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #14.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14948) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (164), (14070), (14074), (14923), (14925),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14948), (function-axioms) are inconsistent by
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #19.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14949) all_54_14 = e1 | all_54_14 = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8790), (8797), (14774), (14949) are inconsistent
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #232.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14950) all_58_12 = e0 & op(e0, e3) = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14950) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14951) op(e0, e3) = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (159), (191), (256), (8790), (8792),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797), (12664), (14072), (14774), (14780),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14951), (function-axioms) are inconsistent by
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #197.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14952) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (140),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (191), (214), (217), (218), (222), (223),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (228), (229), (230), (231), (232),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (237), (238), (239), (240),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (244), (245), (246), (256), (355),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356), (8762), (8767), (8780), (8790), (8792),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797), (12661), (12664), (12665), (12666),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12677), (12678), (14068), (14070), (14071),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14072), (14073), (14074), (14075), (14077),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14078), (14082), (14722), (14729), (14774),
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14780), (14952), (function-axioms) are
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #7.
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14953) all_58_11 = e0 & op(e1, e0) = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14953) implies:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14954) all_58_11 = e0
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14955) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14955) gives:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14956) all_58_6 = e1 & op(e1, e3) = e1
% 203.05/34.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (39), (51), (158), (159), (160),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (214), (218),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (228), (232), (235), (237),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (244), (246),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (356), (8765), (8767), (8780), (12661),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (12678), (14068),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14070), (14072), (14073), (14074), (14075),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14082), (14089), (14720), (14729), (14738),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14740), (14743), (14744), (14751), (14754),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14770), (14874), (14956), (function-axioms) are
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14957) all_58_7 = e1 & op(e1, e2) = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14957) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14958) op(e1, e2) = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12663), (14958), (function-axioms) are
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14959) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (8780), (12661),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (14954), (14959),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (14960) all_54_2 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (14960) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (14961) all_52_8 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8768), (14961) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (14962) $false
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14962) is inconsistent.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | (14963) all_58_3 = e3 & op(e2, e2) = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | ALPHA: (14963) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | (14964) op(e2, e2) = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (14964), (function-axioms) are
% 203.05/34.10 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | (14965) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 203.05/34.10 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 203.05/34.10 | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | BETA: splitting (14965) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | (14966) all_58_5 = e3 & op(e2, e1) = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | ALPHA: (14966) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | (14967) all_58_5 = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | (14968) all_54_2 = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (14968) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | (14969) all_52_8 = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | REDUCE: (14748), (14969) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | (14970) $false
% 203.05/34.10 | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | CLOSE: (14970) is inconsistent.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | (14971) ~ (all_54_2 = e3)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | (14972) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | BETA: splitting (14972) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | (14973) all_54_2 = e2
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (14973) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | (14974) all_52_8 = e2
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | REDUCE: (14725), (14974) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | (14975) $false
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | CLOSE: (14975) is inconsistent.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | (14976) ~ (all_54_2 = e2)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | (14977) all_54_2 = e1 | all_54_2 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | (14978) all_54_4 = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14738), (14751), (14978) are inconsistent by
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | sub-proof #1219.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | (14979) ~ (all_54_4 = e3)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | (14980) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14980) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | (14981) all_54_4 = e2
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14738), (14743), (14981) are inconsistent by
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1218.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | (14982) ~ (all_54_4 = e2)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | (14983) all_54_4 = e1 | all_54_4 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14977) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (14984) all_54_2 = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (14984) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (14985) all_52_8 = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8793), (14985) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (14986) ~ (all_4_1 = e1)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14986) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (14987) ~ (all_4_1 = e1)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14748), (14985) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (14988) ~ (e3 = e1)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | (14989) all_54_14 = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (14989) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | (14990) all_4_1 = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14077), (14990) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | (14991) $false
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14991) is inconsistent.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | (14992) ~ (all_54_14 = e3)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | (14993) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | (14994) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14994) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (14995) all_58_0 = e1 & op(e3, e3) = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14995) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (14996) op(e3, e3) = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14729), (14996), (function-axioms) are
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (14997) all_58_1 = e1 & op(e3, e2) = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14997) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (14998) all_58_1 = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (140),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (191), (214), (218), (223), (224), (226),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (233), (234), (235),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (244),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (256), (355), (356), (8762), (8767),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (8769), (8780), (8790), (8792), (8797), (12661),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (12664), (12665), (12666), (12677), (12678),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (14068), (14070), (14071), (14072), (14073),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (14074), (14075), (14077), (14082), (14089),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (14722), (14729), (14967), (14987), (14993),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (14998), (function-axioms) are inconsistent by
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #4.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | (14999) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14999) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (15000) all_58_4 = e1 & op(e3, e1) = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15000) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (15001) all_58_4 = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (51), (140), (158), (159), (160),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (191), (214),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (232), (233), (235), (237),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (244), (245),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (256), (355), (356), (8762), (8767),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (8780), (8790), (8792), (8797), (12661), (12664),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (12678), (14068),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (14070), (14071), (14072), (14073), (14074),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (14075), (14077), (14082), (14722), (14729),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (14967), (14987), (14993), (15001),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | #13.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (15002) all_58_9 = e1 & op(e3, e0) = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15002) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (15003) all_58_9 = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15004) all_58_15 = e0 & op(e0, e0) = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (358), (15004), (function-axioms) are
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15005) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15005) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15006) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15007) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15007) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15008) all_58_9 = e0 & op(e3, e0) = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15008) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15009) all_58_9 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (12661), (12665),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12677), (15003), (15009),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #101.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15010) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15010) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15011) all_58_10 = e0 & op(e2, e0) = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15011) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15012) all_58_10 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (233),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (245), (355), (356), (14729),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14967), (15012), (function-axioms) are
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15013) all_58_11 = e0 & op(e1, e0) = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15013) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15014) all_58_11 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15015) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15015) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15016) all_58_6 = e1 & op(e1, e3) = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15016) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15017) op(e1, e3) = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14983) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15018) all_54_4 = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14738), (14744), (15018) are inconsistent by
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1217.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15019) all_54_4 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14738), (15019) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15020) all_14_1 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15020) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15021) all_14_1 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14740), (15021) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15022) ~ (all_52_3 = e0)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14751), (15021) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15023) ~ (e3 = e0)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14743), (15021) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15024) ~ (e2 = e0)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14720), (15021) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15025) op(e2, e3) = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15026) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (51), (140), (158), (159), (160),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (191), (214),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (232), (233), (235), (237),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (240), (241), (242), (244), (245),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (256), (355), (356), (8762), (8767),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780), (8790), (8792), (8797), (12661), (12664),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (12678), (14068),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14070), (14071), (14072), (14073), (14074),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14075), (14077), (14082), (14722), (14729),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14967), (14987), (14993), (15026),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #6.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15027) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (158), (159), (164),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (214), (218), (232), (8765), (8780),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (14070),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14072), (14074), (14089), (15006), (15017),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15022), (15025), (15027), (function-axioms) are
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15028) all_58_7 = e1 & op(e1, e2) = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15028) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15029) op(e1, e2) = e1
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12663), (15029), (function-axioms) are
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15030) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (165), (167), (232), (8780), (12661),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12677), (15014), (15030),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (15031) all_54_2 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (15031) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (15032) all_52_8 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8768), (15032) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (15033) $false
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15033) is inconsistent.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | (15034) all_58_10 = e3 & op(e2, e0) = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | ALPHA: (15034) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | (15035) op(e2, e0) = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14074), (15035), (function-axioms) are
% 203.05/34.10 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | (15036) ~ (all_54_6 = e3)
% 203.05/34.10 | | | | | | | | | | | | | | | | (15037) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 203.05/34.10 | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | REDUCE: (270), (15036) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | (15038) ~ (all_52_9 = e3)
% 203.05/34.10 | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | BETA: splitting (15037) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | (15039) all_54_6 = e2
% 203.05/34.10 | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (15039) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | (15040) all_52_9 = e2
% 203.05/34.10 | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | SIMP: (15040) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | (15041) all_52_9 = e2
% 203.05/34.10 | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | REDUCE: (117), (15041) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | (15042) ~ (all_52_13 = e2)
% 203.05/34.10 | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | SIMP: (15042) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | (15043) ~ (all_52_13 = e2)
% 203.05/34.10 | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | (15044) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 203.05/34.10 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | BETA: splitting (15044) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | (15045) all_58_4 = e2 & op(e3, e1) = e2
% 203.05/34.10 | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | ALPHA: (15045) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | (15046) all_58_4 = e2
% 203.05/34.10 | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | (15047) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | BETA: splitting (15047) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | (15048) all_58_2 = e3 & op(e2, e3) = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | ALPHA: (15048) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | (15049) all_58_2 = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | (15050) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15050) gives:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (15051) all_58_4 = e3 & op(e3, e1) = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15051) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (15052) all_58_4 = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15046), (15052) imply:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (15053) e3 = e2
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (239), (241),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (245), (355), (14729), (15049), (15053),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (15054) all_58_5 = e3 & op(e2, e1) = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15054) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | (15055) op(e2, e1) = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15038), (15055), (function-axioms) are
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | (15056) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (158),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (217),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | (218), (222), (223), (224), (226), (228), (229),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (235), (237), (238), (239),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | (241), (246), (355), (356), (8767), (8780),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (12678),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | (14068), (14072), (14073), (14074), (14075),
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | (14078), (14082), (15056), (function-axioms) are
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | (15057) all_58_3 = e3 & op(e2, e2) = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | ALPHA: (15057) implies:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | (15058) op(e2, e2) = e3
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (15058), (function-axioms) are
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | (15059) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.10 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (14074), (15038), (15059),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | #1399.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | (15060) all_58_5 = e2 & op(e2, e1) = e2
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | ALPHA: (15060) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | (15061) all_58_5 = e2
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | (15062) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (15062) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | (15063) all_58_2 = e3 & op(e2, e3) = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | ALPHA: (15063) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | (15064) all_58_2 = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (15065) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15065) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | (15066) all_58_4 = e3 & op(e3, e1) = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15066) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | (15067) all_58_4 = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | (15068) all_54_7 = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (14074), (15068) are inconsistent by
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1491.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | (15069) ~ (all_54_7 = e3)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | (15070) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15070) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | (15071) all_54_7 = e2
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (15043), (15071) are inconsistent by
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1247.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | (15072) ~ (all_54_7 = e2)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | (15073) all_54_7 = e1 | all_54_7 = e0
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15073) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (15074) all_54_7 = e1
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (12666), (15074) are inconsistent by
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #389.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (15075) all_54_7 = e0
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (15075) imply:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (15076) all_52_13 = e0
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15076) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (15077) all_52_13 = e0
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14096), (15077) imply:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (15078) ~ (all_10_1 = e0)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15078) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (15079) ~ (all_10_1 = e0)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14074), (15077) imply:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (15080) ~ (e3 = e0)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15043), (15077) imply:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (15081) ~ (e2 = e0)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15082) all_54_3 = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14094), (14099), (15082) are inconsistent by
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1053.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15083) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15084) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15084) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15085) all_58_6 = e3 & op(e1, e3) = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15085) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15086) all_58_6 = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (239), (241), (14729),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15064), (15086), (function-axioms) are
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1107.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15087) all_58_7 = e3 & op(e1, e2) = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15087) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15088) all_58_7 = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15083) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15089) all_54_3 = e2
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14094), (14727), (15089) are inconsistent by
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1051.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15090) all_54_3 = e1 | all_54_3 = e0
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15091) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (163), (239),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (245), (355), (14724), (14729), (15064),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15088), (15091), (function-axioms) are
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15092) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15092) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15093) all_58_8 = e2 & op(e1, e1) = e2
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15093) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15094) all_58_8 = e2
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (227), (228), (15061),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15067), (15094) are inconsistent by sub-proof
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #970.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15095) all_58_11 = e2 & op(e1, e0) = e2
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15095) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15096) op(e1, e0) = e2
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15090) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15097) all_54_3 = e1
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14094), (15097) imply:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15098) all_10_1 = e1
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15098) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15099) all_10_1 = e1
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14093), (15099) imply:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15100) all_24_1 = e1
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14083), (15096), (15100), (function-axioms) are
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #362.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15101) all_54_3 = e0
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14094), (15079), (15101) are inconsistent by
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #517.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15102) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15102) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15103) all_58_8 = e3 & op(e1, e1) = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8780), (15103) are inconsistent by sub-proof
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #251.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15104) all_58_11 = e3 & op(e1, e0) = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15104) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15105) op(e1, e0) = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14075), (15105), (function-axioms) are
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | (15106) all_58_5 = e3 & op(e2, e1) = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15106) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | (15107) op(e2, e1) = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15038), (15107), (function-axioms) are
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (15108) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (158),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (217),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (218), (222), (223), (224), (226), (228), (229),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (235), (237), (238), (239),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (241), (246), (355), (356), (8767), (8780),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (12678),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (14068), (14072), (14073), (14074), (14075),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (14078), (14082), (15108), (function-axioms) are
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | (15109) all_58_3 = e3 & op(e2, e2) = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | ALPHA: (15109) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | (15110) op(e2, e2) = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12678), (15110), (function-axioms) are
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | (15111) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (14074), (15038), (15111),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | #1399.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | (15112) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 203.05/34.11 | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 203.05/34.11 | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | BETA: splitting (15112) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | (15113) all_58_8 = e2 & op(e1, e1) = e2
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | ALPHA: (15113) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | (15114) all_58_8 = e2
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (15114) are inconsistent by sub-proof
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | #984.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | (15115) all_58_14 = e2 & op(e0, e1) = e2
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | ALPHA: (15115) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | (15116) all_58_14 = e2
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | (15117) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (15117) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | (15118) all_58_4 = e1 & op(e3, e1) = e1
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | ALPHA: (15118) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | (15119) all_58_4 = e1
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (15120) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15120) gives:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | (15121) all_58_4 = e3 & op(e3, e1) = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15121) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | (15122) all_58_4 = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15119), (15122) are inconsistent by
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #981.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | (15123) all_58_5 = e3 & op(e2, e1) = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15123) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | (15124) op(e2, e1) = e3
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15038), (15124), (function-axioms) are
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1929.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (15125) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (51), (158),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (217),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (218), (222), (223), (224), (226), (229), (231),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (232), (234), (235), (237), (238), (239), (241),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (246), (355), (356), (8767), (8780), (12661),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (12665), (12666), (12678), (14068), (14072),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (14073), (14074), (14075), (14078), (14082),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | (15119), (15125), (function-axioms) are
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #12.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | (15126) all_58_5 = e1 & op(e2, e1) = e1
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | ALPHA: (15126) implies:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | (15127) op(e2, e1) = e1
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12665), (15127), (function-axioms) are
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #467.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | (15128) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (164), (165), (167), (232), (8780),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | (12661), (12665), (12666), (12677), (15116),
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | (15128), (function-axioms) are inconsistent by
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | (15129) all_54_6 = e1 | all_54_6 = e0
% 203.05/34.11 | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8769), (12665), (15129) are inconsistent
% 203.05/34.11 | | | | | | | | | | | | | | | | | by sub-proof #1744.
% 203.05/34.11 | | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | | |
% 203.05/34.11 | | | | | | | | | End of split
% 203.05/34.11 | | | | | | | | |
% 203.05/34.11 | | | | | | | | End of split
% 203.05/34.11 | | | | | | | |
% 203.05/34.11 | | | | | | | Case 2:
% 203.05/34.11 | | | | | | | |
% 203.05/34.11 | | | | | | | | (15130) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 &
% 203.05/34.11 | | | | | | | | op(e2, e0) = e1)
% 203.05/34.11 | | | | | | | |
% 203.05/34.11 | | | | | | | | REF_CLOSE: (164), (165), (12665), (12666), (15130),
% 203.05/34.11 | | | | | | | | (function-axioms) are inconsistent by sub-proof #276.
% 203.05/34.11 | | | | | | | |
% 203.05/34.11 | | | | | | | End of split
% 203.05/34.11 | | | | | | |
% 203.05/34.11 | | | | | | End of split
% 203.05/34.11 | | | | | |
% 203.05/34.11 | | | | | End of split
% 203.05/34.11 | | | | |
% 203.05/34.11 | | | | End of split
% 203.05/34.11 | | | |
% 203.05/34.11 | | | Case 2:
% 203.05/34.11 | | | |
% 203.05/34.11 | | | | (15131) all_58_11 = e0 & op(e1, e0) = e0
% 203.05/34.11 | | | |
% 203.05/34.11 | | | | ALPHA: (15131) implies:
% 203.05/34.11 | | | | (15132) op(e1, e0) = e0
% 203.05/34.11 | | | |
% 203.05/34.11 | | | | GROUND_INST: instantiating (function-axioms) with all_52_14, e0, e0, e1,
% 203.05/34.11 | | | | simplifying with (160), (15132) gives:
% 203.05/34.11 | | | | (15133) all_52_14 = e0
% 203.05/34.11 | | | |
% 203.05/34.11 | | | | REDUCE: (8771), (15133) imply:
% 203.05/34.11 | | | | (15134) $false
% 203.05/34.11 | | | |
% 203.05/34.11 | | | | CLOSE: (15134) is inconsistent.
% 203.05/34.11 | | | |
% 203.05/34.11 | | | End of split
% 203.05/34.11 | | |
% 203.05/34.11 | | End of split
% 203.05/34.11 | |
% 203.05/34.11 | End of split
% 203.05/34.11 |
% 203.05/34.11 End of proof
% 203.05/34.11
% 203.05/34.11 Sub-proof #1 shows that the following formulas are inconsistent:
% 203.05/34.11 ----------------------------------------------------------------
% 203.05/34.11 (1) all_58_11 = e0
% 203.05/34.11 (2) op(e2, e3) = all_52_1
% 203.05/34.11 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.05/34.11 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.05/34.11 (4) ~ (all_52_13 = e1)
% 203.05/34.11 (5) op(e2, e0) = all_52_13
% 203.05/34.11 (6) ~ (all_52_1 = e1)
% 203.05/34.11 (7) all_58_3 = e1
% 203.05/34.11 (8) ~ (e1 = e0)
% 203.05/34.11 (9) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.05/34.11 (10) all_58_8 = e0
% 203.05/34.11 (11) ~ (all_52_9 = e1)
% 203.05/34.11 (12) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.05/34.11 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.05/34.11 (13) op(e2, e1) = all_52_9
% 203.05/34.11
% 203.05/34.11 Begin of proof
% 203.05/34.11 |
% 203.05/34.11 | BETA: splitting (9) gives:
% 203.05/34.11 |
% 203.05/34.11 | Case 1:
% 203.05/34.11 | |
% 203.05/34.11 | | (14) all_58_8 = e1 & op(e1, e1) = e1
% 203.05/34.11 | |
% 203.05/34.11 | | ALPHA: (14) implies:
% 203.05/34.11 | | (15) all_58_8 = e1
% 203.05/34.11 | |
% 203.05/34.11 | | COMBINE_EQS: (10), (15) imply:
% 203.05/34.11 | | (16) e1 = e0
% 203.05/34.11 | |
% 203.05/34.11 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (11), (12), (13), (16) are
% 203.05/34.11 | | inconsistent by sub-proof #92.
% 203.05/34.11 | |
% 203.05/34.11 | Case 2:
% 203.05/34.11 | |
% 203.05/34.11 | | (17) all_58_11 = e1 & op(e1, e0) = e1
% 203.05/34.11 | |
% 203.05/34.11 | | ALPHA: (17) implies:
% 203.05/34.11 | | (18) all_58_11 = e1
% 203.05/34.11 | |
% 203.05/34.11 | | COMBINE_EQS: (1), (18) imply:
% 203.05/34.11 | | (19) e1 = e0
% 203.05/34.11 | |
% 203.05/34.11 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (11), (12), (13), (19) are
% 203.05/34.11 | | inconsistent by sub-proof #92.
% 203.05/34.11 | |
% 203.05/34.11 | End of split
% 203.05/34.11 |
% 203.05/34.11 End of proof
% 203.05/34.11
% 203.05/34.11 Sub-proof #2 shows that the following formulas are inconsistent:
% 203.05/34.11 ----------------------------------------------------------------
% 203.05/34.11 (1) ~ (all_52_14 = e3)
% 203.05/34.11 (2) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.11 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.11 (3) ~ (all_14_1 = e1)
% 203.05/34.11 (4) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.05/34.11 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.05/34.11 (5) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 & op(e0, e2) = e0) |
% 203.05/34.11 (all_58_14 = e0 & op(e0, e1) = e0)
% 203.05/34.11 (6) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.05/34.11 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.05/34.11 (7) all_54_4 = all_14_1
% 203.05/34.11 (8) op(e2, e2) = all_6_2
% 203.05/34.11 (9) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.05/34.11 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.05/34.11 (10) all_58_15 = e3
% 203.05/34.11 (11) op(e1, e2) = all_52_6
% 203.05/34.11 (12) op(e2, e3) = all_52_1
% 203.05/34.11 (13) op(e3, e3) = e2
% 203.05/34.11 (14) op(e0, e2) = all_52_7
% 203.05/34.11 (15) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.05/34.11 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.05/34.11 (16) ~ (e3 = e2)
% 203.05/34.11 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.05/34.11 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.05/34.11 (18) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.05/34.11 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.05/34.11 (19) ~ (e3 = e1)
% 203.05/34.11 (20) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.05/34.11 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.05/34.11 (21) all_56_14 = e0
% 203.05/34.11 (22) ~ (all_52_12 = e3)
% 203.05/34.11 (23) ~ (all_52_6 = e0)
% 203.05/34.11 (24) ~ (all_52_13 = e3)
% 203.05/34.11 (25) op(e1, e0) = all_52_14
% 203.05/34.11 (26) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.05/34.11 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.05/34.11 (27) ~ (all_52_13 = e1)
% 203.05/34.11 (28) ~ (all_52_3 = all_14_1)
% 203.05/34.11 (29) ~ (all_14_2 = e3)
% 203.05/34.11 (30) ~ (all_14_1 = e2)
% 203.05/34.11 (31) all_56_15 = e3
% 203.05/34.11 (32) op(e0, e3) = all_52_3
% 203.05/34.11 (33) op(e2, e3) = all_14_1
% 203.05/34.11 (34) op(e2, e0) = all_52_13
% 203.05/34.11 (35) ~ (all_52_1 = e1)
% 203.05/34.11 (36) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.05/34.11 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.05/34.12 (37) all_58_3 = e1
% 203.05/34.12 (38) all_58_8 = e0
% 203.05/34.12 (39) ~ (all_52_9 = e1)
% 203.05/34.12 (40) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.05/34.12 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.05/34.12 (41) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) = all_56_10
% 203.05/34.12 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 = e2) |
% 203.05/34.12 all_56_0 = e3) & ( ~ (all_56_14 = e2) | all_56_7 = e1) & ( ~
% 203.05/34.12 (all_56_15 = e2) | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.05/34.12 = e2) & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_0 = e0
% 203.05/34.12 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.12 (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.05/34.12 $i(all_56_6))) & (all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0)
% 203.05/34.12 = all_56_8 & $i(all_56_8))) & (all_56_10 = e3 | ( ~ (all_56_9 =
% 203.05/34.12 e2) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_10 = e1 |
% 203.05/34.12 ( ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.12 (all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.05/34.12 $i(all_56_3))) & (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2,
% 203.05/34.12 e1) = all_56_4 & $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.05/34.12 (all_56_5 = e2) & op(e2, e0) = all_56_5 & $i(all_56_5)))) |
% 203.05/34.12 (op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11
% 203.05/34.12 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.05/34.12 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.05/34.12 (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.05/34.12 = e1) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0
% 203.05/34.12 | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.12 (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.05/34.12 $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0)
% 203.05/34.12 = all_56_5 & $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 =
% 203.05/34.12 e1) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_11 = e2 |
% 203.05/34.12 ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 203.05/34.12 (all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.05/34.12 $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1,
% 203.05/34.12 e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.05/34.12 (all_56_8 = e1) & op(e1, e0) = all_56_8 & $i(all_56_8)))) |
% 203.05/34.12 (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 203.05/34.12 $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.05/34.12 all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.05/34.12 (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0 =
% 203.05/34.12 e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 |
% 203.05/34.12 ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.05/34.12 (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.05/34.12 $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1)
% 203.05/34.12 = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0)
% 203.05/34.12 & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.05/34.12 (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.05/34.12 (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.05/34.12 $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0,
% 203.05/34.12 e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.05/34.12 (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.05/34.12 (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.05/34.12 $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.05/34.12 all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.05/34.12 (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~ (all_56_4 =
% 203.05/34.12 e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.05/34.12 ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 203.05/34.12 (all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.05/34.12 $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0)
% 203.05/34.12 = all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 =
% 203.05/34.12 e3) & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1
% 203.05/34.12 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.12 (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.05/34.12 $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 203.05/34.12 e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.05/34.12 (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.05/34.12 (42) all_54_4 = e1 | all_54_4 = e0
% 203.05/34.12 (43) ~ (all_14_1 = e3)
% 203.05/34.12 (44) ~ (e2 = e1)
% 203.05/34.12 (45) op(e3, e0) = all_10_1
% 203.05/34.12 (46) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.05/34.12 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.05/34.12 (47) op(e3, e3) = all_14_2
% 203.05/34.12 (48) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.05/34.12 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.05/34.12 (49) op(e2, e2) = e1
% 203.05/34.12 (50) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.05/34.12 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.05/34.12 (51) op(e3, e0) = all_52_12
% 203.05/34.12 (52) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.12 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.05/34.12 e2)
% 203.05/34.12 (53) all_58_6 = e1 & op(e1, e3) = e1
% 203.05/34.12 (54) ~ (all_52_7 = e3)
% 203.05/34.12 (55) op(e2, e1) = all_52_9
% 203.05/34.12 (56) all_58_2 = e3
% 203.05/34.12 (57) ~ (all_6_2 = e2)
% 203.05/34.12 (58) op(e3, e0) = all_24_1
% 203.05/34.12 (59) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.05/34.12 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.05/34.12
% 203.05/34.12 Begin of proof
% 203.05/34.12 |
% 203.05/34.12 | ALPHA: (53) implies:
% 203.05/34.12 | (60) op(e1, e3) = e1
% 203.05/34.12 |
% 203.05/34.12 | BETA: splitting (42) gives:
% 203.05/34.12 |
% 203.05/34.12 | Case 1:
% 203.05/34.12 | |
% 203.05/34.12 | | (61) all_54_4 = e1
% 203.05/34.12 | |
% 203.05/34.12 | | REF_CLOSE: (3), (7), (61) are inconsistent by sub-proof #1217.
% 203.05/34.12 | |
% 203.05/34.12 | Case 2:
% 203.05/34.12 | |
% 203.05/34.12 | | (62) all_54_4 = e0
% 203.05/34.12 | |
% 203.05/34.12 | | COMBINE_EQS: (7), (62) imply:
% 203.05/34.12 | | (63) all_14_1 = e0
% 203.05/34.12 | |
% 203.05/34.12 | | SIMP: (63) implies:
% 203.05/34.12 | | (64) all_14_1 = e0
% 203.05/34.12 | |
% 203.05/34.12 | | REDUCE: (28), (64) imply:
% 203.05/34.12 | | (65) ~ (all_52_3 = e0)
% 203.05/34.12 | |
% 203.05/34.12 | | REDUCE: (43), (64) imply:
% 203.05/34.12 | | (66) ~ (e3 = e0)
% 203.05/34.12 | |
% 203.05/34.12 | | SIMP: (66) implies:
% 203.05/34.12 | | (67) ~ (e3 = e0)
% 203.05/34.12 | |
% 203.05/34.12 | | REDUCE: (30), (64) imply:
% 203.05/34.12 | | (68) ~ (e2 = e0)
% 203.05/34.12 | |
% 203.05/34.12 | | SIMP: (68) implies:
% 203.05/34.12 | | (69) ~ (e2 = e0)
% 203.05/34.12 | |
% 203.05/34.12 | | REDUCE: (3), (64) imply:
% 203.05/34.12 | | (70) ~ (e1 = e0)
% 203.05/34.12 | |
% 203.05/34.12 | | SIMP: (70) implies:
% 203.05/34.12 | | (71) ~ (e1 = e0)
% 203.05/34.12 | |
% 203.05/34.12 | | REDUCE: (33), (64) imply:
% 203.05/34.12 | | (72) op(e2, e3) = e0
% 203.05/34.12 | |
% 203.05/34.12 | | BETA: splitting (36) gives:
% 203.05/34.12 | |
% 203.05/34.12 | | Case 1:
% 203.05/34.12 | | |
% 203.05/34.12 | | | (73) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) =
% 203.05/34.12 | | | e1)
% 203.05/34.12 | | |
% 203.05/34.12 | | | BETA: splitting (73) gives:
% 203.05/34.12 | | |
% 203.05/34.12 | | | Case 1:
% 203.05/34.12 | | | |
% 203.05/34.12 | | | | (74) all_58_4 = e1 & op(e3, e1) = e1
% 203.05/34.12 | | | |
% 203.05/34.12 | | | | ALPHA: (74) implies:
% 203.05/34.12 | | | | (75) all_58_4 = e1
% 203.05/34.12 | | | |
% 203.05/34.12 | | | | REF_CLOSE: (1), (2), (4), (6), (8), (9), (11), (12), (13), (14), (15),
% 203.05/34.12 | | | | (16), (17), (18), (19), (20), (22), (23), (25), (26), (27),
% 203.05/34.12 | | | | (29), (32), (34), (35), (37), (38), (39), (40), (44), (45),
% 203.05/34.12 | | | | (46), (47), (48), (49), (50), (51), (54), (55), (56), (57),
% 203.05/34.12 | | | | (58), (59), (65), (67), (69), (71), (75) are inconsistent by
% 203.05/34.12 | | | | sub-proof #15.
% 203.05/34.12 | | | |
% 203.05/34.12 | | | Case 2:
% 203.05/34.12 | | | |
% 203.05/34.12 | | | | (76) all_58_5 = e1 & op(e2, e1) = e1
% 203.05/34.12 | | | |
% 203.05/34.12 | | | | ALPHA: (76) implies:
% 203.05/34.12 | | | | (77) op(e2, e1) = e1
% 203.05/34.12 | | | |
% 203.05/34.12 | | | | REF_CLOSE: (17), (39), (55), (77) are inconsistent by sub-proof #467.
% 203.05/34.12 | | | |
% 203.05/34.12 | | | End of split
% 203.05/34.12 | | |
% 203.05/34.12 | | Case 2:
% 203.05/34.12 | | |
% 203.05/34.12 | | | (78) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) =
% 203.05/34.12 | | | e1)
% 203.05/34.12 | | |
% 203.05/34.12 | | | REF_CLOSE: (5), (10), (12), (14), (16), (17), (21), (24), (27), (31),
% 203.05/34.12 | | | (32), (34), (35), (37), (38), (39), (40), (41), (44), (52),
% 203.05/34.12 | | | (54), (55), (60), (65), (67), (69), (71), (72), (78) are
% 203.05/34.12 | | | inconsistent by sub-proof #3.
% 203.05/34.12 | | |
% 203.05/34.12 | | End of split
% 203.05/34.12 | |
% 203.05/34.12 | End of split
% 203.05/34.12 |
% 203.05/34.12 End of proof
% 203.05/34.12
% 203.05/34.12 Sub-proof #3 shows that the following formulas are inconsistent:
% 203.05/34.12 ----------------------------------------------------------------
% 203.05/34.12 (1) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 & op(e0, e2) = e0) |
% 203.05/34.12 (all_58_14 = e0 & op(e0, e1) = e0)
% 203.05/34.12 (2) ~ (e3 = e0)
% 203.05/34.12 (3) op(e2, e3) = e0
% 203.05/34.12 (4) all_58_15 = e3
% 203.05/34.12 (5) op(e2, e3) = all_52_1
% 203.05/34.12 (6) op(e0, e2) = all_52_7
% 203.05/34.12 (7) ~ (e3 = e2)
% 203.05/34.12 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.05/34.12 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.05/34.12 (9) all_56_14 = e0
% 203.05/34.12 (10) ~ (all_52_13 = e3)
% 203.05/34.12 (11) ~ (all_52_13 = e1)
% 203.05/34.12 (12) ~ (all_52_3 = e0)
% 203.05/34.12 (13) all_56_15 = e3
% 203.05/34.12 (14) op(e0, e3) = all_52_3
% 203.05/34.12 (15) op(e2, e0) = all_52_13
% 203.05/34.12 (16) ~ (all_52_1 = e1)
% 203.05/34.12 (17) all_58_3 = e1
% 203.05/34.12 (18) ~ (e1 = e0)
% 203.05/34.12 (19) all_58_8 = e0
% 203.05/34.12 (20) ~ (all_52_9 = e1)
% 203.05/34.12 (21) op(e1, e3) = e1
% 203.05/34.12 (22) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.05/34.12 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.05/34.12 (23) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) = all_56_10
% 203.05/34.12 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 = e2) |
% 203.05/34.12 all_56_0 = e3) & ( ~ (all_56_14 = e2) | all_56_7 = e1) & ( ~
% 203.05/34.12 (all_56_15 = e2) | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.05/34.12 = e2) & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_0 = e0
% 203.05/34.12 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.12 (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.05/34.12 $i(all_56_6))) & (all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0)
% 203.05/34.12 = all_56_8 & $i(all_56_8))) & (all_56_10 = e3 | ( ~ (all_56_9 =
% 203.05/34.12 e2) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_10 = e1 |
% 203.05/34.12 ( ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.12 (all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.05/34.12 $i(all_56_3))) & (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2,
% 203.05/34.12 e1) = all_56_4 & $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.05/34.12 (all_56_5 = e2) & op(e2, e0) = all_56_5 & $i(all_56_5)))) |
% 203.05/34.12 (op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11
% 203.05/34.12 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.05/34.12 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.05/34.12 (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.05/34.12 = e1) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0
% 203.05/34.12 | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.12 (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.05/34.12 $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0)
% 203.05/34.12 = all_56_5 & $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 =
% 203.05/34.12 e1) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_11 = e2 |
% 203.05/34.12 ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 203.05/34.12 (all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.05/34.12 $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1,
% 203.05/34.12 e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.05/34.12 (all_56_8 = e1) & op(e1, e0) = all_56_8 & $i(all_56_8)))) |
% 203.05/34.12 (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 203.05/34.12 $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.05/34.12 all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.05/34.12 (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0 =
% 203.05/34.12 e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 |
% 203.05/34.12 ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.05/34.12 (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.05/34.12 $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1)
% 203.05/34.12 = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0)
% 203.05/34.12 & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.05/34.12 (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.05/34.12 (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.05/34.12 $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0,
% 203.05/34.12 e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.05/34.12 (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.05/34.12 (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.05/34.12 $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.05/34.12 all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.05/34.12 (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~ (all_56_4 =
% 203.05/34.12 e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.05/34.12 ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 203.05/34.12 (all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.05/34.12 $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0)
% 203.05/34.12 = all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 =
% 203.05/34.12 e3) & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1
% 203.05/34.12 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.12 (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.05/34.12 $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 203.05/34.12 e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.05/34.12 (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.05/34.12 (24) ~ (e2 = e1)
% 203.05/34.12 (25) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.05/34.12 (26) ~ (e2 = e0)
% 203.05/34.12 (27) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.12 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.05/34.12 e2)
% 203.05/34.12 (28) ~ (all_52_7 = e3)
% 203.05/34.12 (29) op(e2, e1) = all_52_9
% 203.05/34.12
% 203.05/34.12 Begin of proof
% 203.05/34.12 |
% 203.05/34.12 | BETA: splitting (25) gives:
% 203.05/34.12 |
% 203.05/34.12 | Case 1:
% 203.05/34.12 | |
% 203.05/34.12 | | (30) all_58_8 = e1 & op(e1, e1) = e1
% 203.05/34.12 | |
% 203.05/34.12 | | REF_CLOSE: (5), (8), (11), (15), (16), (17), (18), (19), (20), (22), (29),
% 203.05/34.12 | | (30) are inconsistent by sub-proof #85.
% 203.05/34.12 | |
% 203.05/34.12 | Case 2:
% 203.05/34.12 | |
% 203.05/34.12 | | (31) all_58_14 = e1 & op(e0, e1) = e1
% 203.05/34.12 | |
% 203.05/34.12 | | ALPHA: (31) implies:
% 203.05/34.12 | | (32) all_58_14 = e1
% 203.05/34.12 | |
% 203.05/34.12 | | BETA: splitting (1) gives:
% 203.05/34.12 | |
% 203.05/34.12 | | Case 1:
% 203.05/34.12 | | |
% 203.05/34.12 | | | (33) all_58_12 = e0 & op(e0, e3) = e0
% 203.05/34.12 | | |
% 203.05/34.12 | | | ALPHA: (33) implies:
% 203.05/34.12 | | | (34) op(e0, e3) = e0
% 203.05/34.12 | | |
% 203.05/34.12 | | | REF_CLOSE: (8), (12), (14), (34) are inconsistent by sub-proof #290.
% 203.05/34.12 | | |
% 203.05/34.12 | | Case 2:
% 203.05/34.12 | | |
% 203.05/34.12 | | | (35) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1)
% 203.05/34.12 | | | = e0)
% 203.05/34.12 | | |
% 203.05/34.12 | | | BETA: splitting (35) gives:
% 203.05/34.12 | | |
% 203.05/34.12 | | | Case 1:
% 203.05/34.12 | | | |
% 203.05/34.12 | | | | (36) all_58_13 = e0 & op(e0, e2) = e0
% 203.05/34.12 | | | |
% 203.05/34.12 | | | | ALPHA: (36) implies:
% 203.05/34.12 | | | | (37) all_58_13 = e0
% 203.05/34.12 | | | |
% 203.05/34.12 | | | | BETA: splitting (23) gives:
% 203.05/34.12 | | | |
% 203.05/34.12 | | | | Case 1:
% 203.05/34.12 | | | | |
% 203.05/34.12 | | | | | (38) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) =
% 203.05/34.12 | | | | | all_56_10 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & (
% 203.05/34.12 | | | | | ~ (all_56_12 = e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 203.05/34.12 | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) | all_56_10 = e0)
% 203.05/34.12 | | | | | & (all_56_0 = e1 | ( ~ (all_56_1 = e2) & op(e3, e1) =
% 203.05/34.12 | | | | | all_56_1 & $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 203.05/34.12 | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2)))
% 203.05/34.12 | | | | | & (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) =
% 203.05/34.12 | | | | | all_56_6 & $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 203.05/34.12 | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 & $i(all_56_8)))
% 203.05/34.12 | | | | | & (all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3) =
% 203.05/34.12 | | | | | all_56_9 & $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 203.05/34.12 | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.05/34.12 | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~ (all_56_3 = e2)
% 203.05/34.12 | | | | | & op(e2, e3) = all_56_3 & $i(all_56_3))) & (all_56_13 =
% 203.05/34.12 | | | | | e1 | ( ~ (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 203.05/34.12 | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~ (all_56_5 = e2) &
% 203.05/34.12 | | | | | op(e2, e0) = all_56_5 & $i(all_56_5)))) | (op(e3, e1) =
% 203.05/34.12 | | | | | all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 203.05/34.12 | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12
% 203.05/34.12 | | | | | = e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4
% 203.05/34.12 | | | | | = e2) & ( ~ (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 203.05/34.12 | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) = all_56_0 &
% 203.05/34.12 | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~ (all_56_2 = e1) &
% 203.05/34.12 | | | | | op(e3, e0) = all_56_2 & $i(all_56_2))) & (all_56_4 = e3
% 203.05/34.12 | | | | | | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.05/34.12 | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) &
% 203.05/34.12 | | | | | op(e2, e0) = all_56_5 & $i(all_56_5))) & (all_56_11 = e3
% 203.05/34.12 | | | | | | ( ~ (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 203.05/34.12 | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~ (all_56_10 = e1)
% 203.05/34.12 | | | | | & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_14
% 203.05/34.12 | | | | | = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.05/34.12 | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) &
% 203.05/34.12 | | | | | op(e1, e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0
% 203.05/34.12 | | | | | | ( ~ (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 203.05/34.12 | | | | | $i(all_56_8))))
% 203.05/34.12 | | | | |
% 203.05/34.12 | | | | | BETA: splitting (38) gives:
% 203.05/34.12 | | | | |
% 203.05/34.12 | | | | | Case 1:
% 203.05/34.12 | | | | | |
% 203.05/34.12 | | | | | | (39) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) =
% 203.05/34.12 | | | | | | all_56_10 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & (
% 203.05/34.12 | | | | | | ~ (all_56_12 = e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 203.05/34.12 | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) | all_56_10 = e0)
% 203.05/34.12 | | | | | | & (all_56_0 = e1 | ( ~ (all_56_1 = e2) & op(e3, e1) =
% 203.05/34.12 | | | | | | all_56_1 & $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 203.05/34.12 | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2)))
% 203.05/34.12 | | | | | | & (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) =
% 203.05/34.12 | | | | | | all_56_6 & $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 203.05/34.12 | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 & $i(all_56_8)))
% 203.05/34.12 | | | | | | & (all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3) =
% 203.05/34.12 | | | | | | all_56_9 & $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 203.05/34.12 | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.05/34.12 | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~ (all_56_3 = e2)
% 203.05/34.12 | | | | | | & op(e2, e3) = all_56_3 & $i(all_56_3))) & (all_56_13 =
% 203.05/34.12 | | | | | | e1 | ( ~ (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 203.05/34.12 | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~ (all_56_5 = e2) &
% 203.05/34.12 | | | | | | op(e2, e0) = all_56_5 & $i(all_56_5)))
% 203.05/34.12 | | | | | |
% 203.05/34.12 | | | | | | ALPHA: (39) implies:
% 203.05/34.12 | | | | | | (40) op(e0, e2) = all_56_10
% 203.05/34.12 | | | | | | (41) all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3) = all_56_9
% 203.05/34.12 | | | | | | & $i(all_56_9))
% 203.05/34.12 | | | | | |
% 203.05/34.12 | | | | | | REF_CLOSE: (4), (6), (7), (8), (24), (26), (27), (28), (32), (37),
% 203.05/34.12 | | | | | | (40), (41) are inconsistent by sub-proof #111.
% 203.05/34.12 | | | | | |
% 203.05/34.12 | | | | | Case 2:
% 203.05/34.12 | | | | | |
% 203.05/34.12 | | | | | | (42) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) =
% 203.05/34.12 | | | | | | all_56_11 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 203.05/34.12 | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1)
% 203.05/34.12 | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) | all_56_11 = e0)
% 203.05/34.12 | | | | | | & (all_56_1 = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 203.05/34.12 | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 203.05/34.12 | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2)))
% 203.05/34.12 | | | | | | & (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) =
% 203.05/34.12 | | | | | | all_56_3 & $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 203.05/34.12 | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 & $i(all_56_5)))
% 203.05/34.12 | | | | | | & (all_56_11 = e3 | ( ~ (all_56_9 = e1) & op(e0, e3) =
% 203.05/34.12 | | | | | | all_56_9 & $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 203.05/34.12 | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 203.05/34.12 | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~ (all_56_6 = e1)
% 203.05/34.12 | | | | | | & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_14 =
% 203.05/34.12 | | | | | | e2 | ( ~ (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 203.05/34.12 | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~ (all_56_8 = e1) &
% 203.05/34.12 | | | | | | op(e1, e0) = all_56_8 & $i(all_56_8)))
% 203.05/34.12 | | | | | |
% 203.05/34.12 | | | | | | REF_CLOSE: (2), (8), (9), (21), (42) are inconsistent by sub-proof
% 203.05/34.12 | | | | | | #143.
% 203.05/34.12 | | | | | |
% 203.05/34.12 | | | | | End of split
% 203.05/34.12 | | | | |
% 203.05/34.12 | | | | Case 2:
% 203.05/34.12 | | | | |
% 203.05/34.12 | | | | | (43) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) =
% 203.05/34.12 | | | | | all_56_8 & $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~
% 203.05/34.12 | | | | | (all_56_12 = e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 203.05/34.12 | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8 = e1) &
% 203.05/34.12 | | | | | (all_56_2 = e2 | ( ~ (all_56_0 = e0) & op(e3, e2) = all_56_0
% 203.05/34.12 | | | | | & $i(all_56_0))) & (all_56_2 = e1 | ( ~ (all_56_1 = e0)
% 203.05/34.12 | | | | | & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_5 =
% 203.05/34.12 | | | | | e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.05/34.12 | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) &
% 203.05/34.12 | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_8 = e3
% 203.05/34.12 | | | | | | ( ~ (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 203.05/34.12 | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~ (all_56_7 = e0) &
% 203.05/34.12 | | | | | op(e1, e2) = all_56_7 & $i(all_56_7))) & (all_56_15 = e3
% 203.05/34.12 | | | | | | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.05/34.12 | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0)
% 203.05/34.12 | | | | | & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_15
% 203.05/34.12 | | | | | = e1 | ( ~ (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 203.05/34.12 | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 & op(e1, e3) =
% 203.05/34.12 | | | | | all_56_6 & op(e0, e3) = all_56_9 & $i(all_56_3) &
% 203.05/34.12 | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.05/34.12 | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & (
% 203.05/34.12 | | | | | ~ (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~
% 203.05/34.12 | | | | | (all_56_4 = e3) & op(e2, e1) = all_56_4 & $i(all_56_4)))
% 203.05/34.12 | | | | | & (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0) =
% 203.05/34.12 | | | | | all_56_5 & $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 203.05/34.12 | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 & $i(all_56_7)))
% 203.05/34.12 | | | | | & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0) =
% 203.05/34.12 | | | | | all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 203.05/34.12 | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 203.05/34.12 | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~ (all_56_11 = e3)
% 203.05/34.12 | | | | | & op(e0, e1) = all_56_11 & $i(all_56_11))) & (all_56_12
% 203.05/34.12 | | | | | = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.05/34.12 | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) &
% 203.05/34.12 | | | | | op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0
% 203.05/34.12 | | | | | | ( ~ (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 203.05/34.12 | | | | | $i(all_56_2))))
% 203.05/34.12 | | | | |
% 203.05/34.12 | | | | | REF_CLOSE: (3), (8), (10), (12), (13), (14), (15), (43) are
% 203.05/34.12 | | | | | inconsistent by sub-proof #19.
% 203.05/34.12 | | | | |
% 203.05/34.12 | | | | End of split
% 203.05/34.12 | | | |
% 203.05/34.12 | | | Case 2:
% 203.05/34.12 | | | |
% 203.05/34.12 | | | | (44) all_58_14 = e0 & op(e0, e1) = e0
% 203.05/34.12 | | | |
% 203.05/34.12 | | | | ALPHA: (44) implies:
% 203.05/34.12 | | | | (45) all_58_14 = e0
% 203.05/34.12 | | | |
% 203.05/34.12 | | | | COMBINE_EQS: (32), (45) imply:
% 203.05/34.12 | | | | (46) e1 = e0
% 203.05/34.12 | | | |
% 203.05/34.12 | | | | REF_CLOSE: (5), (8), (11), (15), (16), (17), (18), (20), (22), (29),
% 203.05/34.12 | | | | (46) are inconsistent by sub-proof #92.
% 203.05/34.12 | | | |
% 203.05/34.12 | | | End of split
% 203.05/34.12 | | |
% 203.05/34.12 | | End of split
% 203.05/34.12 | |
% 203.05/34.12 | End of split
% 203.05/34.12 |
% 203.05/34.12 End of proof
% 203.05/34.12
% 203.05/34.12 Sub-proof #4 shows that the following formulas are inconsistent:
% 203.05/34.12 ----------------------------------------------------------------
% 203.05/34.12 (1) all_56_12 = e2
% 203.05/34.12 (2) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.05/34.12 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.05/34.12 (3) ~ (all_52_14 = e3)
% 203.05/34.12 (4) all_58_5 = e3
% 203.05/34.12 (5) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.12 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.12 (6) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.05/34.12 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.05/34.12 (7) ~ (all_52_3 = e3)
% 203.05/34.12 (8) ~ (e3 = e0)
% 203.05/34.12 (9) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.05/34.12 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.05/34.12 (10) ~ (all_52_7 = all_4_1)
% 203.05/34.12 (11) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.05/34.12 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.05/34.12 (12) op(e2, e2) = all_6_2
% 203.05/34.12 (13) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.05/34.12 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.05/34.12 (14) all_58_15 = e3
% 203.05/34.12 (15) op(e1, e2) = all_52_6
% 203.05/34.12 (16) op(e2, e3) = all_52_1
% 203.05/34.12 (17) op(e3, e3) = e2
% 203.05/34.12 (18) op(e0, e2) = all_52_7
% 203.05/34.13 (19) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.05/34.13 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.05/34.13 (20) ~ (e3 = e2)
% 203.05/34.13 (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.05/34.13 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.05/34.13 (22) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.05/34.13 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.05/34.13 (23) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.13 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.05/34.13 (24) ~ (e3 = e1)
% 203.05/34.13 (25) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.05/34.13 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.05/34.13 (26) ~ (all_52_12 = e3)
% 203.05/34.13 (27) ~ (all_52_6 = e0)
% 203.05/34.13 (28) ~ (all_52_13 = e3)
% 203.05/34.13 (29) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 203.05/34.13 (30) op(e1, e0) = all_52_14
% 203.05/34.13 (31) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.05/34.13 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.05/34.13 (32) ~ (all_52_13 = e1)
% 203.05/34.13 (33) all_54_14 = all_4_1
% 203.05/34.13 (34) ~ (all_4_1 = e0)
% 203.05/34.13 (35) ~ (all_52_9 = e0)
% 203.05/34.13 (36) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.05/34.13 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.05/34.13 (37) ~ (all_14_2 = e3)
% 203.05/34.13 (38) all_56_15 = e3
% 203.05/34.13 (39) op(e0, e3) = all_52_3
% 203.05/34.13 (40) op(e2, e0) = all_52_13
% 203.05/34.13 (41) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.05/34.13 (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) = e3)
% 203.05/34.13 (42) all_58_1 = e1
% 203.05/34.13 (43) ~ (all_52_1 = e1)
% 203.05/34.13 (44) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.05/34.13 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.05/34.13 (45) all_58_3 = e1
% 203.05/34.13 (46) ~ (e1 = e0)
% 203.05/34.13 (47) all_58_8 = e0
% 203.05/34.13 (48) ~ (all_52_9 = e1)
% 203.05/34.13 (49) ~ (all_52_3 = all_52_7)
% 203.05/34.13 (50) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.05/34.13 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.05/34.13 (51) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) = all_56_10
% 203.05/34.13 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 = e2) |
% 203.05/34.13 all_56_0 = e3) & ( ~ (all_56_14 = e2) | all_56_7 = e1) & ( ~
% 203.05/34.13 (all_56_15 = e2) | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.05/34.13 = e2) & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_0 = e0
% 203.05/34.13 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.13 (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.05/34.13 $i(all_56_6))) & (all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0)
% 203.05/34.13 = all_56_8 & $i(all_56_8))) & (all_56_10 = e3 | ( ~ (all_56_9 =
% 203.05/34.13 e2) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_10 = e1 |
% 203.05/34.13 ( ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.13 (all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.05/34.13 $i(all_56_3))) & (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2,
% 203.05/34.13 e1) = all_56_4 & $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.05/34.13 (all_56_5 = e2) & op(e2, e0) = all_56_5 & $i(all_56_5)))) |
% 203.05/34.13 (op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11
% 203.05/34.13 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.05/34.13 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.05/34.13 (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.05/34.13 = e1) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0
% 203.05/34.13 | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.13 (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.05/34.13 $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0)
% 203.05/34.13 = all_56_5 & $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 =
% 203.05/34.13 e1) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_11 = e2 |
% 203.05/34.13 ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 203.05/34.13 (all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.05/34.13 $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1,
% 203.05/34.13 e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.05/34.13 (all_56_8 = e1) & op(e1, e0) = all_56_8 & $i(all_56_8)))) |
% 203.05/34.13 (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 203.05/34.13 $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.05/34.13 all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.05/34.13 (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0 =
% 203.05/34.13 e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 |
% 203.05/34.13 ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.05/34.13 (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.05/34.13 $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1)
% 203.05/34.13 = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0)
% 203.05/34.13 & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.05/34.13 (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.05/34.13 (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.05/34.13 $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0,
% 203.05/34.13 e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.05/34.13 (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.05/34.13 (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.05/34.13 $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.05/34.13 all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.05/34.13 (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~ (all_56_4 =
% 203.05/34.13 e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.05/34.13 ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 203.05/34.13 (all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.05/34.13 $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0)
% 203.05/34.13 = all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 =
% 203.05/34.13 e3) & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1
% 203.05/34.13 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.13 (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.05/34.13 $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 203.05/34.13 e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.05/34.13 (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.05/34.13 (52) ~ (e2 = e1)
% 203.05/34.13 (53) op(e3, e0) = all_10_1
% 203.05/34.13 (54) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.05/34.13 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.05/34.13 (55) op(e3, e3) = all_14_2
% 203.05/34.13 (56) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.05/34.13 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.05/34.13 (57) op(e2, e2) = e1
% 203.05/34.13 (58) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.05/34.13 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.05/34.13 (59) ~ (all_4_1 = e1)
% 203.05/34.13 (60) op(e3, e0) = all_52_12
% 203.05/34.13 (61) ~ (e2 = e0)
% 203.05/34.13 (62) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.13 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.05/34.13 e2)
% 203.05/34.13 (63) ~ (all_52_7 = e3)
% 203.05/34.13 (64) op(e2, e1) = all_52_9
% 203.05/34.13 (65) op(e0, e1) = all_4_1
% 203.05/34.13 (66) all_54_13 = all_52_7
% 203.05/34.13 (67) ~ (all_52_7 = e1)
% 203.05/34.13 (68) ~ (all_6_2 = e2)
% 203.05/34.13 (69) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 203.05/34.13 (70) op(e3, e0) = all_24_1
% 203.05/34.13 (71) ~ (all_4_1 = e3)
% 203.05/34.13 (72) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.05/34.13 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.05/34.13
% 203.05/34.13 Begin of proof
% 203.05/34.13 |
% 203.05/34.13 | BETA: splitting (36) gives:
% 203.05/34.13 |
% 203.05/34.13 | Case 1:
% 203.05/34.13 | |
% 203.05/34.13 | | (73) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) =
% 203.05/34.13 | | e2)
% 203.05/34.13 | |
% 203.05/34.13 | | BETA: splitting (73) gives:
% 203.05/34.13 | |
% 203.05/34.13 | | Case 1:
% 203.05/34.13 | | |
% 203.05/34.13 | | | (74) all_58_4 = e2 & op(e3, e1) = e2
% 203.05/34.13 | | |
% 203.05/34.13 | | | ALPHA: (74) implies:
% 203.05/34.13 | | | (75) all_58_4 = e2
% 203.05/34.13 | | |
% 203.05/34.13 | | | BETA: splitting (11) gives:
% 203.05/34.13 | | |
% 203.05/34.13 | | | Case 1:
% 203.05/34.13 | | | |
% 203.05/34.13 | | | | (76) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3)
% 203.05/34.13 | | | | = e3)
% 203.05/34.13 | | | |
% 203.05/34.13 | | | | REF_CLOSE: (2), (4), (6), (8), (11), (12), (16), (17), (20), (21), (23),
% 203.05/34.13 | | | | (24), (32), (35), (37), (40), (43), (46), (48), (50), (52),
% 203.05/34.13 | | | | (54), (55), (61), (64), (68), (76) are inconsistent by
% 203.05/34.13 | | | | sub-proof #56.
% 203.05/34.13 | | | |
% 203.05/34.13 | | | Case 2:
% 203.05/34.13 | | | |
% 203.05/34.13 | | | | (77) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3)
% 203.05/34.13 | | | | = e3)
% 203.05/34.13 | | | |
% 203.05/34.13 | | | | BETA: splitting (77) gives:
% 203.05/34.13 | | | |
% 203.05/34.13 | | | | Case 1:
% 203.05/34.13 | | | | |
% 203.05/34.13 | | | | | (78) all_58_6 = e3 & op(e1, e3) = e3
% 203.05/34.13 | | | | |
% 203.05/34.13 | | | | | ALPHA: (78) implies:
% 203.05/34.13 | | | | | (79) all_58_6 = e3
% 203.05/34.13 | | | | |
% 203.05/34.13 | | | | | BETA: splitting (62) gives:
% 203.05/34.13 | | | | |
% 203.05/34.13 | | | | | Case 1:
% 203.05/34.13 | | | | | |
% 203.05/34.13 | | | | | | (80) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 &
% 203.05/34.13 | | | | | | op(e0, e2) = e2)
% 203.05/34.13 | | | | | |
% 203.05/34.13 | | | | | | BETA: splitting (80) gives:
% 203.05/34.13 | | | | | |
% 203.05/34.13 | | | | | | Case 1:
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | | (81) all_58_12 = e2 & op(e0, e3) = e2
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | | ALPHA: (81) implies:
% 203.05/34.13 | | | | | | | (82) all_58_12 = e2
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | | BETA: splitting (13) gives:
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | | Case 1:
% 203.05/34.13 | | | | | | | |
% 203.05/34.13 | | | | | | | | (83) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 &
% 203.05/34.13 | | | | | | | | op(e3, e2) = e3)
% 203.05/34.13 | | | | | | | |
% 203.05/34.13 | | | | | | | | BETA: splitting (83) gives:
% 203.05/34.13 | | | | | | | |
% 203.05/34.13 | | | | | | | | Case 1:
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | | (84) all_58_0 = e3 & op(e3, e3) = e3
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | | REF_CLOSE: (21), (37), (55), (84) are inconsistent by
% 203.05/34.13 | | | | | | | | | sub-proof #1415.
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | Case 2:
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | | (85) all_58_1 = e3 & op(e3, e2) = e3
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | | REF_CLOSE: (24), (42), (85) are inconsistent by sub-proof
% 203.05/34.13 | | | | | | | | | #1792.
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | End of split
% 203.05/34.13 | | | | | | | |
% 203.05/34.13 | | | | | | | Case 2:
% 203.05/34.13 | | | | | | | |
% 203.05/34.13 | | | | | | | | (86) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 &
% 203.05/34.13 | | | | | | | | op(e3, e0) = e3)
% 203.05/34.13 | | | | | | | |
% 203.05/34.13 | | | | | | | | BETA: splitting (86) gives:
% 203.05/34.13 | | | | | | | |
% 203.05/34.13 | | | | | | | | Case 1:
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | | (87) all_58_4 = e3 & op(e3, e1) = e3
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | | ALPHA: (87) implies:
% 203.05/34.13 | | | | | | | | | (88) all_58_4 = e3
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | | COMBINE_EQS: (75), (88) imply:
% 203.05/34.13 | | | | | | | | | (89) e3 = e2
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | | SIMP: (89) implies:
% 203.05/34.13 | | | | | | | | | (90) e3 = e2
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | | COMBINE_EQS: (4), (90) imply:
% 203.05/34.13 | | | | | | | | | (91) all_58_5 = e2
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | | REF_CLOSE: (6), (8), (20), (21), (24), (28), (40), (41), (46),
% 203.05/34.13 | | | | | | | | | (52), (54), (57), (61), (79), (82), (91) are
% 203.05/34.13 | | | | | | | | | inconsistent by sub-proof #28.
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | Case 2:
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | | (92) all_58_9 = e3 & op(e3, e0) = e3
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | | ALPHA: (92) implies:
% 203.05/34.13 | | | | | | | | | (93) op(e3, e0) = e3
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | | REF_CLOSE: (21), (26), (53), (60), (70), (93) are inconsistent
% 203.05/34.13 | | | | | | | | | by sub-proof #1035.
% 203.05/34.13 | | | | | | | | |
% 203.05/34.13 | | | | | | | | End of split
% 203.05/34.13 | | | | | | | |
% 203.05/34.13 | | | | | | | End of split
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | Case 2:
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | | (94) all_58_13 = e2 & op(e0, e2) = e2
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | | ALPHA: (94) implies:
% 203.05/34.13 | | | | | | | (95) all_58_13 = e2
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | | REF_CLOSE: (8), (20), (21), (22), (24), (31), (42), (45), (46),
% 203.05/34.13 | | | | | | | (57), (61), (95) are inconsistent by sub-proof #358.
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | End of split
% 203.05/34.13 | | | | | |
% 203.05/34.13 | | | | | Case 2:
% 203.05/34.13 | | | | | |
% 203.05/34.13 | | | | | | (96) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 &
% 203.05/34.13 | | | | | | op(e0, e0) = e2)
% 203.05/34.13 | | | | | |
% 203.05/34.13 | | | | | | BETA: splitting (96) gives:
% 203.05/34.13 | | | | | |
% 203.05/34.13 | | | | | | Case 1:
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | | (97) all_58_14 = e2 & op(e0, e1) = e2
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (10), (11), (12),
% 203.05/34.13 | | | | | | | (13), (15), (16), (17), (18), (19), (21), (22), (23),
% 203.05/34.13 | | | | | | | (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 203.05/34.13 | | | | | | | (33), (34), (37), (38), (39), (40), (43), (44), (45),
% 203.05/34.13 | | | | | | | (46), (47), (48), (49), (50), (51), (52), (53), (54),
% 203.05/34.13 | | | | | | | (55), (56), (57), (58), (59), (60), (63), (64), (65),
% 203.05/34.13 | | | | | | | (66), (67), (68), (69), (70), (71), (72), (97) are
% 203.05/34.13 | | | | | | | inconsistent by sub-proof #5.
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | Case 2:
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | | (98) all_58_15 = e2 & op(e0, e0) = e2
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | | REF_CLOSE: (14), (20), (98) are inconsistent by sub-proof #1633.
% 203.05/34.13 | | | | | | |
% 203.05/34.13 | | | | | | End of split
% 203.05/34.13 | | | | | |
% 203.05/34.13 | | | | | End of split
% 203.05/34.13 | | | | |
% 203.05/34.13 | | | | Case 2:
% 203.05/34.13 | | | | |
% 203.05/34.13 | | | | | (99) all_58_12 = e3 & op(e0, e3) = e3
% 203.05/34.13 | | | | |
% 203.05/34.13 | | | | | ALPHA: (99) implies:
% 203.05/34.13 | | | | | (100) op(e0, e3) = e3
% 203.05/34.13 | | | | |
% 203.05/34.13 | | | | | REF_CLOSE: (7), (21), (39), (100) are inconsistent by sub-proof #1070.
% 203.05/34.13 | | | | |
% 203.05/34.13 | | | | End of split
% 203.05/34.13 | | | |
% 203.05/34.13 | | | End of split
% 203.05/34.13 | | |
% 203.05/34.13 | | Case 2:
% 203.05/34.13 | | |
% 203.05/34.13 | | | (101) all_58_5 = e2 & op(e2, e1) = e2
% 203.05/34.13 | | |
% 203.05/34.13 | | | REF_CLOSE: (4), (20), (101) are inconsistent by sub-proof #936.
% 203.05/34.13 | | |
% 203.05/34.13 | | End of split
% 203.05/34.13 | |
% 203.05/34.13 | Case 2:
% 203.05/34.13 | |
% 203.05/34.13 | | (102) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) =
% 203.05/34.13 | | e2)
% 203.05/34.13 | |
% 203.05/34.13 | | BETA: splitting (102) gives:
% 203.05/34.13 | |
% 203.05/34.13 | | Case 1:
% 203.05/34.13 | | |
% 203.05/34.13 | | | (103) all_58_8 = e2 & op(e1, e1) = e2
% 203.05/34.13 | | |
% 203.05/34.13 | | | ALPHA: (103) implies:
% 203.05/34.13 | | | (104) all_58_8 = e2
% 203.05/34.13 | | |
% 203.05/34.13 | | | REF_CLOSE: (47), (61), (104) are inconsistent by sub-proof #984.
% 203.05/34.13 | | |
% 203.05/34.13 | | Case 2:
% 203.05/34.13 | | |
% 203.05/34.13 | | | (105) all_58_14 = e2 & op(e0, e1) = e2
% 203.05/34.13 | | |
% 203.05/34.13 | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 203.05/34.13 | | | (15), (16), (17), (18), (19), (21), (22), (23), (24), (25),
% 203.05/34.13 | | | (26), (27), (28), (29), (30), (31), (32), (33), (34), (37),
% 203.05/34.13 | | | (38), (39), (40), (43), (44), (45), (46), (47), (48), (49),
% 203.05/34.13 | | | (50), (51), (52), (53), (54), (55), (56), (57), (58), (59),
% 203.05/34.13 | | | (60), (63), (64), (65), (66), (67), (68), (69), (70), (71),
% 203.05/34.13 | | | (72), (105) are inconsistent by sub-proof #5.
% 203.05/34.13 | | |
% 203.05/34.13 | | End of split
% 203.05/34.13 | |
% 203.05/34.13 | End of split
% 203.05/34.13 |
% 203.05/34.13 End of proof
% 203.05/34.13
% 203.05/34.13 Sub-proof #5 shows that the following formulas are inconsistent:
% 203.05/34.13 ----------------------------------------------------------------
% 203.05/34.13 (1) all_56_12 = e2
% 203.05/34.13 (2) ~ (all_52_14 = e3)
% 203.05/34.13 (3) all_58_5 = e3
% 203.05/34.13 (4) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.13 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.13 (5) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.05/34.13 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.05/34.13 (6) ~ (all_52_3 = e3)
% 203.05/34.13 (7) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.05/34.13 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.05/34.13 (8) ~ (all_52_7 = all_4_1)
% 203.05/34.13 (9) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.05/34.13 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.05/34.13 (10) op(e2, e2) = all_6_2
% 203.05/34.13 (11) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.05/34.13 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.05/34.13 (12) op(e1, e2) = all_52_6
% 203.05/34.13 (13) op(e2, e3) = all_52_1
% 203.05/34.13 (14) op(e3, e3) = e2
% 203.05/34.13 (15) op(e0, e2) = all_52_7
% 203.05/34.13 (16) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.05/34.13 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.05/34.13 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.05/34.13 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.05/34.13 (18) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.05/34.13 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.05/34.13 (19) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.13 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.05/34.13 (20) ~ (e3 = e1)
% 203.05/34.13 (21) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.05/34.13 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.05/34.13 (22) ~ (all_52_12 = e3)
% 203.05/34.13 (23) ~ (all_52_6 = e0)
% 203.05/34.13 (24) ~ (all_52_13 = e3)
% 203.05/34.13 (25) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 203.05/34.13 (26) op(e1, e0) = all_52_14
% 203.05/34.13 (27) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.05/34.13 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.05/34.13 (28) ~ (all_52_13 = e1)
% 203.05/34.13 (29) all_54_14 = all_4_1
% 203.05/34.13 (30) ~ (all_4_1 = e0)
% 203.05/34.13 (31) ~ (all_14_2 = e3)
% 203.05/34.13 (32) all_56_15 = e3
% 203.05/34.13 (33) op(e0, e3) = all_52_3
% 203.05/34.13 (34) op(e2, e0) = all_52_13
% 203.05/34.13 (35) ~ (all_52_1 = e1)
% 203.05/34.13 (36) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.05/34.13 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.05/34.13 (37) all_58_3 = e1
% 203.05/34.13 (38) ~ (e1 = e0)
% 203.05/34.13 (39) all_58_8 = e0
% 203.05/34.13 (40) ~ (all_52_9 = e1)
% 203.05/34.13 (41) ~ (all_52_3 = all_52_7)
% 203.05/34.13 (42) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.05/34.13 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.05/34.13 (43) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) = all_56_10
% 203.05/34.13 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 = e2) |
% 203.05/34.13 all_56_0 = e3) & ( ~ (all_56_14 = e2) | all_56_7 = e1) & ( ~
% 203.05/34.13 (all_56_15 = e2) | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.05/34.13 = e2) & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_0 = e0
% 203.05/34.13 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.13 (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.05/34.13 $i(all_56_6))) & (all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0)
% 203.05/34.13 = all_56_8 & $i(all_56_8))) & (all_56_10 = e3 | ( ~ (all_56_9 =
% 203.05/34.13 e2) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_10 = e1 |
% 203.05/34.13 ( ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.13 (all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.05/34.13 $i(all_56_3))) & (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2,
% 203.05/34.13 e1) = all_56_4 & $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.05/34.13 (all_56_5 = e2) & op(e2, e0) = all_56_5 & $i(all_56_5)))) |
% 203.05/34.13 (op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11
% 203.05/34.13 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.05/34.13 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.05/34.13 (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.05/34.13 = e1) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0
% 203.05/34.13 | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.13 (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.05/34.13 $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0)
% 203.05/34.13 = all_56_5 & $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 =
% 203.05/34.13 e1) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_11 = e2 |
% 203.05/34.13 ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 203.05/34.13 (all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.05/34.13 $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1,
% 203.05/34.13 e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.05/34.13 (all_56_8 = e1) & op(e1, e0) = all_56_8 & $i(all_56_8)))) |
% 203.05/34.13 (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 203.05/34.13 $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.05/34.13 all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.05/34.13 (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0 =
% 203.05/34.13 e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 |
% 203.05/34.13 ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.05/34.13 (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.05/34.13 $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1)
% 203.05/34.13 = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0)
% 203.05/34.13 & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.05/34.13 (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.05/34.13 (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.05/34.13 $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0,
% 203.05/34.13 e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.05/34.13 (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.05/34.13 (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.05/34.13 $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.05/34.13 all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.05/34.13 (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~ (all_56_4 =
% 203.05/34.13 e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.05/34.13 ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 203.05/34.13 (all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.05/34.13 $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0)
% 203.05/34.13 = all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 =
% 203.05/34.13 e3) & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1
% 203.05/34.13 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.13 (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.05/34.13 $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 203.05/34.13 e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.05/34.13 (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.05/34.13 (44) ~ (e2 = e1)
% 203.05/34.13 (45) op(e3, e0) = all_10_1
% 203.05/34.13 (46) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.05/34.13 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.05/34.13 (47) op(e3, e3) = all_14_2
% 203.05/34.13 (48) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.05/34.13 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.05/34.13 (49) op(e2, e2) = e1
% 203.05/34.13 (50) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.05/34.13 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.05/34.13 (51) ~ (all_4_1 = e1)
% 203.05/34.13 (52) op(e3, e0) = all_52_12
% 203.05/34.13 (53) ~ (all_52_7 = e3)
% 203.05/34.13 (54) op(e2, e1) = all_52_9
% 203.05/34.13 (55) op(e0, e1) = all_4_1
% 203.05/34.13 (56) all_54_13 = all_52_7
% 203.05/34.13 (57) all_58_14 = e2 & op(e0, e1) = e2
% 203.05/34.13 (58) ~ (all_52_7 = e1)
% 203.05/34.13 (59) ~ (all_6_2 = e2)
% 203.05/34.13 (60) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 203.05/34.14 (61) op(e3, e0) = all_24_1
% 203.05/34.14 (62) ~ (all_4_1 = e3)
% 203.05/34.14 (63) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.05/34.14 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.05/34.14
% 203.05/34.14 Begin of proof
% 203.05/34.14 |
% 203.05/34.14 | ALPHA: (57) implies:
% 203.05/34.14 | (64) all_58_14 = e2
% 203.05/34.14 |
% 203.05/34.14 | BETA: splitting (36) gives:
% 203.05/34.14 |
% 203.05/34.14 | Case 1:
% 203.05/34.14 | |
% 203.05/34.14 | | (65) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) =
% 203.05/34.14 | | e1)
% 203.05/34.14 | |
% 203.05/34.14 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 203.05/34.14 | | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 203.05/34.14 | | (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 203.05/34.14 | | (35), (37), (39), (40), (41), (42), (43), (45), (46), (47), (48),
% 203.05/34.14 | | (49), (50), (51), (52), (53), (54), (55), (56), (58), (59), (60),
% 203.05/34.14 | | (61), (62), (63), (65) are inconsistent by sub-proof #6.
% 203.05/34.14 | |
% 203.05/34.14 | Case 2:
% 203.05/34.14 | |
% 203.05/34.14 | | (66) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) =
% 203.05/34.14 | | e1)
% 203.05/34.14 | |
% 203.05/34.14 | | REF_CLOSE: (13), (17), (28), (34), (35), (37), (38), (39), (40), (42), (44),
% 203.05/34.14 | | (54), (64), (66) are inconsistent by sub-proof #40.
% 203.05/34.14 | |
% 203.05/34.14 | End of split
% 203.05/34.14 |
% 203.05/34.14 End of proof
% 203.05/34.14
% 203.05/34.14 Sub-proof #6 shows that the following formulas are inconsistent:
% 203.05/34.14 ----------------------------------------------------------------
% 203.05/34.14 (1) all_56_12 = e2
% 203.05/34.14 (2) ~ (all_52_14 = e3)
% 203.05/34.14 (3) all_58_5 = e3
% 203.05/34.14 (4) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.14 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.14 (5) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.05/34.14 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.05/34.14 (6) ~ (all_52_3 = e3)
% 203.05/34.14 (7) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.05/34.14 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.05/34.14 (8) ~ (all_52_7 = all_4_1)
% 203.05/34.14 (9) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.05/34.14 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.05/34.14 (10) op(e2, e2) = all_6_2
% 203.05/34.14 (11) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.05/34.14 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.05/34.14 (12) op(e1, e2) = all_52_6
% 203.05/34.14 (13) op(e2, e3) = all_52_1
% 203.05/34.14 (14) op(e3, e3) = e2
% 203.05/34.14 (15) op(e0, e2) = all_52_7
% 203.05/34.14 (16) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.05/34.14 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.05/34.14 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.05/34.14 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.05/34.14 (18) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.05/34.14 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.05/34.14 (19) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.14 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.05/34.14 (20) ~ (e3 = e1)
% 203.05/34.14 (21) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.05/34.14 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.05/34.14 (22) ~ (all_52_12 = e3)
% 203.05/34.14 (23) ~ (all_52_6 = e0)
% 203.05/34.14 (24) ~ (all_52_13 = e3)
% 203.05/34.14 (25) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 203.05/34.14 (26) op(e1, e0) = all_52_14
% 203.05/34.14 (27) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.05/34.14 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.05/34.14 (28) ~ (all_52_13 = e1)
% 203.05/34.14 (29) all_54_14 = all_4_1
% 203.05/34.14 (30) ~ (all_4_1 = e0)
% 203.05/34.14 (31) ~ (all_14_2 = e3)
% 203.05/34.14 (32) all_56_15 = e3
% 203.05/34.14 (33) op(e0, e3) = all_52_3
% 203.05/34.14 (34) op(e2, e0) = all_52_13
% 203.05/34.14 (35) ~ (all_52_1 = e1)
% 203.05/34.14 (36) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1)
% 203.05/34.14 (37) all_58_3 = e1
% 203.05/34.14 (38) all_58_8 = e0
% 203.05/34.14 (39) ~ (all_52_9 = e1)
% 203.05/34.14 (40) ~ (all_52_3 = all_52_7)
% 203.05/34.14 (41) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.05/34.14 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.05/34.14 (42) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) = all_56_10
% 203.05/34.14 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 = e2) |
% 203.05/34.14 all_56_0 = e3) & ( ~ (all_56_14 = e2) | all_56_7 = e1) & ( ~
% 203.05/34.14 (all_56_15 = e2) | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.05/34.14 = e2) & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_0 = e0
% 203.05/34.14 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.14 (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.05/34.14 $i(all_56_6))) & (all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0)
% 203.05/34.14 = all_56_8 & $i(all_56_8))) & (all_56_10 = e3 | ( ~ (all_56_9 =
% 203.05/34.14 e2) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_10 = e1 |
% 203.05/34.14 ( ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.14 (all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.05/34.14 $i(all_56_3))) & (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2,
% 203.05/34.14 e1) = all_56_4 & $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.05/34.14 (all_56_5 = e2) & op(e2, e0) = all_56_5 & $i(all_56_5)))) |
% 203.05/34.14 (op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11
% 203.05/34.14 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.05/34.14 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.05/34.14 (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.05/34.14 = e1) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0
% 203.05/34.14 | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.14 (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.05/34.14 $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0)
% 203.05/34.14 = all_56_5 & $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 =
% 203.05/34.14 e1) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_11 = e2 |
% 203.05/34.14 ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 203.05/34.14 (all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.05/34.14 $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1,
% 203.05/34.14 e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.05/34.14 (all_56_8 = e1) & op(e1, e0) = all_56_8 & $i(all_56_8)))) |
% 203.05/34.14 (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 203.05/34.14 $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.05/34.14 all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.05/34.14 (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0 =
% 203.05/34.14 e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 |
% 203.05/34.14 ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.05/34.14 (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.05/34.14 $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1)
% 203.05/34.14 = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0)
% 203.05/34.14 & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.05/34.14 (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.05/34.14 (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.05/34.14 $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0,
% 203.05/34.14 e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.05/34.14 (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.05/34.14 (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.05/34.14 $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.05/34.14 all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.05/34.14 (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~ (all_56_4 =
% 203.05/34.14 e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.05/34.14 ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 203.05/34.14 (all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.05/34.14 $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0)
% 203.05/34.14 = all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 =
% 203.05/34.14 e3) & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1
% 203.05/34.14 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.14 (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.05/34.14 $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 203.05/34.14 e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.05/34.14 (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.05/34.14 (43) op(e3, e0) = all_10_1
% 203.05/34.14 (44) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.05/34.14 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.05/34.14 (45) op(e3, e3) = all_14_2
% 203.05/34.14 (46) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.05/34.14 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.05/34.14 (47) op(e2, e2) = e1
% 203.05/34.14 (48) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.05/34.14 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.05/34.14 (49) ~ (all_4_1 = e1)
% 203.05/34.14 (50) op(e3, e0) = all_52_12
% 203.05/34.14 (51) ~ (all_52_7 = e3)
% 203.05/34.14 (52) op(e2, e1) = all_52_9
% 203.05/34.14 (53) op(e0, e1) = all_4_1
% 203.05/34.14 (54) all_54_13 = all_52_7
% 203.05/34.14 (55) ~ (all_52_7 = e1)
% 203.05/34.14 (56) ~ (all_6_2 = e2)
% 203.05/34.14 (57) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 203.05/34.14 (58) op(e3, e0) = all_24_1
% 203.05/34.14 (59) ~ (all_4_1 = e3)
% 203.05/34.14 (60) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.05/34.14 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.05/34.14
% 203.05/34.14 Begin of proof
% 203.05/34.14 |
% 203.05/34.14 | BETA: splitting (36) gives:
% 203.05/34.14 |
% 203.05/34.14 | Case 1:
% 203.05/34.14 | |
% 203.05/34.14 | | (61) all_58_4 = e1 & op(e3, e1) = e1
% 203.05/34.14 | |
% 203.05/34.14 | | ALPHA: (61) implies:
% 203.05/34.14 | | (62) all_58_4 = e1
% 203.05/34.14 | |
% 203.05/34.14 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 203.05/34.14 | | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 203.05/34.14 | | (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 203.05/34.14 | | (35), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 203.05/34.14 | | (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 203.05/34.14 | | (58), (59), (60), (62) are inconsistent by sub-proof #13.
% 203.05/34.14 | |
% 203.05/34.14 | Case 2:
% 203.05/34.14 | |
% 203.05/34.14 | | (63) all_58_5 = e1 & op(e2, e1) = e1
% 203.05/34.14 | |
% 203.05/34.14 | | ALPHA: (63) implies:
% 203.05/34.14 | | (64) op(e2, e1) = e1
% 203.05/34.14 | |
% 203.05/34.14 | | REF_CLOSE: (17), (39), (52), (64) are inconsistent by sub-proof #467.
% 203.05/34.14 | |
% 203.05/34.14 | End of split
% 203.05/34.14 |
% 203.05/34.14 End of proof
% 203.05/34.14
% 203.05/34.14 Sub-proof #7 shows that the following formulas are inconsistent:
% 203.05/34.14 ----------------------------------------------------------------
% 203.05/34.14 (1) all_56_12 = e2
% 203.05/34.14 (2) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.05/34.14 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.05/34.14 (3) ~ (all_52_14 = e3)
% 203.05/34.14 (4) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.05/34.14 (5) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.14 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.14 (6) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.05/34.14 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.05/34.14 (7) ~ (all_52_3 = e3)
% 203.05/34.14 (8) ~ (e3 = e0)
% 203.05/34.14 (9) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.05/34.14 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.05/34.14 (10) ~ (all_52_7 = all_4_1)
% 203.05/34.14 (11) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.05/34.14 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.05/34.14 (12) op(e2, e2) = all_6_2
% 203.05/34.14 (13) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.05/34.14 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.05/34.14 (14) op(e1, e2) = all_52_6
% 203.05/34.14 (15) op(e2, e3) = all_52_1
% 203.05/34.14 (16) op(e3, e3) = e2
% 203.05/34.14 (17) op(e0, e2) = all_52_7
% 203.05/34.14 (18) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.05/34.14 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.05/34.14 (19) ~ (e3 = e2)
% 203.05/34.14 (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.05/34.14 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.05/34.14 (21) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.05/34.14 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.05/34.14 (22) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.14 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.05/34.14 (23) ~ (e3 = e1)
% 203.05/34.14 (24) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.05/34.14 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.05/34.14 (25) ~ (all_52_12 = e3)
% 203.05/34.14 (26) ~ (all_52_6 = e0)
% 203.05/34.14 (27) ~ (all_52_13 = e3)
% 203.05/34.14 (28) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 203.05/34.14 (29) op(e1, e0) = all_52_14
% 203.05/34.14 (30) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.05/34.14 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.05/34.14 (31) ~ (all_52_13 = e1)
% 203.05/34.14 (32) all_54_14 = all_4_1
% 203.05/34.14 (33) ~ (all_4_1 = e0)
% 203.05/34.14 (34) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.05/34.14 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.05/34.14 (35) ~ (all_14_2 = e3)
% 203.05/34.14 (36) all_56_15 = e3
% 203.05/34.14 (37) op(e0, e3) = all_52_3
% 203.05/34.14 (38) op(e2, e0) = all_52_13
% 203.05/34.14 (39) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.05/34.14 | (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 & op(e0, e0) =
% 203.05/34.14 e1)
% 203.05/34.14 (40) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.05/34.14 (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) = e3)
% 203.05/34.14 (41) ~ (all_52_1 = e1)
% 203.05/34.14 (42) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.05/34.14 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.05/34.14 (43) all_58_3 = e1
% 203.05/34.14 (44) ~ (e1 = e0)
% 203.05/34.14 (45) all_58_8 = e0
% 203.05/34.14 (46) ~ (all_52_9 = e1)
% 203.05/34.14 (47) ~ (all_52_3 = all_52_7)
% 203.05/34.14 (48) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.05/34.14 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.05/34.14 (49) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) = all_56_10
% 203.05/34.14 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 = e2) |
% 203.05/34.14 all_56_0 = e3) & ( ~ (all_56_14 = e2) | all_56_7 = e1) & ( ~
% 203.05/34.14 (all_56_15 = e2) | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.05/34.14 = e2) & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_0 = e0
% 203.05/34.14 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.14 (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.05/34.14 $i(all_56_6))) & (all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0)
% 203.05/34.14 = all_56_8 & $i(all_56_8))) & (all_56_10 = e3 | ( ~ (all_56_9 =
% 203.05/34.14 e2) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_10 = e1 |
% 203.05/34.14 ( ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.14 (all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.05/34.14 $i(all_56_3))) & (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2,
% 203.05/34.14 e1) = all_56_4 & $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.05/34.14 (all_56_5 = e2) & op(e2, e0) = all_56_5 & $i(all_56_5)))) |
% 203.05/34.14 (op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11
% 203.05/34.14 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.05/34.14 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.05/34.14 (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.05/34.14 = e1) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0
% 203.05/34.14 | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.14 (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.05/34.14 $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0)
% 203.05/34.14 = all_56_5 & $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 =
% 203.05/34.14 e1) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_11 = e2 |
% 203.05/34.14 ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 203.05/34.14 (all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.05/34.14 $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1,
% 203.05/34.14 e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.05/34.14 (all_56_8 = e1) & op(e1, e0) = all_56_8 & $i(all_56_8)))) |
% 203.05/34.14 (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 203.05/34.14 $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.05/34.14 all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.05/34.14 (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0 =
% 203.05/34.14 e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 |
% 203.05/34.14 ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.05/34.14 (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.05/34.14 $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1)
% 203.05/34.14 = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0)
% 203.05/34.14 & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.05/34.14 (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.05/34.14 (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.05/34.14 $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0,
% 203.05/34.14 e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.05/34.14 (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.05/34.14 (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.05/34.14 $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.05/34.14 all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.05/34.14 (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~ (all_56_4 =
% 203.05/34.14 e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.05/34.14 ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 203.05/34.14 (all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.05/34.14 $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0)
% 203.05/34.14 = all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 =
% 203.05/34.14 e3) & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1
% 203.05/34.14 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.14 (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.05/34.14 $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 203.05/34.14 e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.05/34.14 (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.05/34.14 (50) ~ (e2 = e1)
% 203.05/34.14 (51) op(e3, e0) = all_10_1
% 203.05/34.14 (52) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.05/34.14 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.05/34.14 (53) op(e3, e3) = all_14_2
% 203.05/34.14 (54) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.05/34.14 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.05/34.14 (55) op(e2, e2) = e1
% 203.05/34.14 (56) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.05/34.14 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.05/34.14 (57) ~ (all_4_1 = e1)
% 203.05/34.14 (58) op(e0, e0) = e3
% 203.05/34.14 (59) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2, e1) = e3) |
% 203.05/34.14 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) = e3)
% 203.05/34.14 (60) op(e3, e0) = all_52_12
% 203.05/34.14 (61) ~ (e2 = e0)
% 203.05/34.14 (62) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.14 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.05/34.14 e2)
% 203.05/34.14 (63) ~ (all_52_7 = e3)
% 203.05/34.14 (64) op(e2, e1) = all_52_9
% 203.05/34.14 (65) op(e0, e1) = all_4_1
% 203.05/34.14 (66) all_54_13 = all_52_7
% 203.05/34.14 (67) ~ (all_52_7 = e1)
% 203.05/34.14 (68) ~ (all_6_2 = e2)
% 203.05/34.14 (69) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 203.05/34.14 (70) op(e3, e0) = all_24_1
% 203.05/34.14 (71) ~ (all_4_1 = e3)
% 203.05/34.14 (72) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) = e3) |
% 203.05/34.14 (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0, e0) = e3)
% 203.05/34.14 (73) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.05/34.14 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.05/34.14
% 203.05/34.14 Begin of proof
% 203.05/34.14 |
% 203.05/34.14 | BETA: splitting (4) gives:
% 203.05/34.14 |
% 203.05/34.14 | Case 1:
% 203.05/34.14 | |
% 203.05/34.14 | | (74) all_58_8 = e2 & op(e1, e1) = e2
% 203.05/34.14 | |
% 203.05/34.14 | | ALPHA: (74) implies:
% 203.05/34.14 | | (75) all_58_8 = e2
% 203.05/34.14 | |
% 203.05/34.14 | | REF_CLOSE: (45), (61), (75) are inconsistent by sub-proof #984.
% 203.05/34.14 | |
% 203.05/34.14 | Case 2:
% 203.05/34.14 | |
% 203.05/34.14 | | (76) all_58_14 = e2 & op(e0, e1) = e2
% 203.05/34.14 | |
% 203.05/34.14 | | ALPHA: (76) implies:
% 203.05/34.14 | | (77) all_58_14 = e2
% 203.05/34.14 | |
% 203.05/34.14 | | BETA: splitting (42) gives:
% 203.05/34.14 | |
% 203.05/34.14 | | Case 1:
% 203.05/34.14 | | |
% 203.05/34.14 | | | (78) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) =
% 203.05/34.14 | | | e1)
% 203.05/34.14 | | |
% 203.05/34.14 | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 203.05/34.14 | | | (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 203.05/34.14 | | | (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 203.05/34.14 | | | (34), (35), (36), (37), (38), (39), (40), (41), (43), (44),
% 203.05/34.14 | | | (45), (46), (47), (48), (49), (50), (51), (52), (53), (54),
% 203.05/34.14 | | | (55), (56), (57), (58), (59), (60), (61), (62), (63), (64),
% 203.05/34.14 | | | (65), (66), (67), (68), (69), (70), (71), (72), (73), (78) are
% 203.05/34.14 | | | inconsistent by sub-proof #10.
% 203.05/34.14 | | |
% 203.05/34.14 | | Case 2:
% 203.05/34.14 | | |
% 203.05/34.14 | | | (79) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) =
% 203.05/34.14 | | | e1)
% 203.05/34.14 | | |
% 203.05/34.14 | | | BETA: splitting (79) gives:
% 203.05/34.14 | | |
% 203.05/34.14 | | | Case 1:
% 203.05/34.14 | | | |
% 203.05/34.14 | | | | (80) all_58_8 = e1 & op(e1, e1) = e1
% 203.05/34.14 | | | |
% 203.05/34.14 | | | | REF_CLOSE: (15), (20), (31), (38), (41), (43), (44), (45), (46), (48),
% 203.05/34.14 | | | | (64), (80) are inconsistent by sub-proof #85.
% 203.05/34.14 | | | |
% 203.05/34.14 | | | Case 2:
% 203.05/34.14 | | | |
% 203.05/34.14 | | | | (81) all_58_14 = e1 & op(e0, e1) = e1
% 203.05/34.14 | | | |
% 203.05/34.14 | | | | ALPHA: (81) implies:
% 203.05/34.14 | | | | (82) all_58_14 = e1
% 203.05/34.14 | | | |
% 203.05/34.14 | | | | REF_CLOSE: (50), (77), (82) are inconsistent by sub-proof #1371.
% 203.05/34.14 | | | |
% 203.05/34.14 | | | End of split
% 203.05/34.14 | | |
% 203.05/34.14 | | End of split
% 203.05/34.14 | |
% 203.05/34.14 | End of split
% 203.05/34.14 |
% 203.05/34.14 End of proof
% 203.05/34.14
% 203.05/34.14 Sub-proof #8 shows that the following formulas are inconsistent:
% 203.05/34.14 ----------------------------------------------------------------
% 203.05/34.14 (1) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.05/34.14 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.05/34.14 (2) op(e0, e0) = all_10_2
% 203.05/34.15 (3) op(e3, e3) = e2
% 203.05/34.15 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.05/34.15 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.05/34.15 (5) ~ (e3 = e1)
% 203.05/34.15 (6) ~ (all_10_2 = e0)
% 203.05/34.15 (7) all_58_13 = e2
% 203.05/34.15 (8) all_58_12 = e2
% 203.05/34.15 (9) all_58_6 = e1
% 203.05/34.15 (10) ~ (e1 = e0)
% 203.05/34.15 (11) (all_58_15 = e0 & op(e0, e0) = e0) | (((all_58_9 = e0 & op(e3, e0) = e0)
% 203.05/34.15 | (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1, e0)
% 203.05/34.15 = e0)) & ((all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 &
% 203.05/34.15 op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1) = e0)))
% 203.05/34.15 (12) ~ (e2 = e1)
% 203.05/34.15 (13) all_58_14 = e1
% 203.05/34.15 (14) ~ (e2 = e0)
% 203.05/34.15 (15) all_58_2 = e3
% 203.05/34.15
% 203.05/34.15 Begin of proof
% 203.05/34.15 |
% 203.05/34.15 | BETA: splitting (11) gives:
% 203.05/34.15 |
% 203.05/34.15 | Case 1:
% 203.05/34.15 | |
% 203.05/34.15 | | (16) all_58_15 = e0 & op(e0, e0) = e0
% 203.05/34.15 | |
% 203.05/34.15 | | REF_CLOSE: (2), (4), (6), (16) are inconsistent by sub-proof #1924.
% 203.05/34.15 | |
% 203.05/34.15 | Case 2:
% 203.05/34.15 | |
% 203.05/34.15 | | (17) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 = e0 & op(e2, e0) =
% 203.05/34.15 | | e0) | (all_58_11 = e0 & op(e1, e0) = e0)) & ((all_58_12 = e0 &
% 203.05/34.15 | | op(e0, e3) = e0) | (all_58_13 = e0 & op(e0, e2) = e0) |
% 203.05/34.15 | | (all_58_14 = e0 & op(e0, e1) = e0))
% 203.05/34.15 | |
% 203.05/34.15 | | ALPHA: (17) implies:
% 203.05/34.15 | | (18) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 203.05/34.15 | | e0) | (all_58_14 = e0 & op(e0, e1) = e0)
% 203.05/34.15 | |
% 203.05/34.15 | | BETA: splitting (18) gives:
% 203.05/34.15 | |
% 203.05/34.15 | | Case 1:
% 203.05/34.15 | | |
% 203.05/34.15 | | | (19) all_58_12 = e0 & op(e0, e3) = e0
% 203.05/34.15 | | |
% 203.05/34.15 | | | REF_CLOSE: (8), (14), (19) are inconsistent by sub-proof #1267.
% 203.05/34.15 | | |
% 203.05/34.15 | | Case 2:
% 203.05/34.15 | | |
% 203.05/34.15 | | | (20) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1)
% 203.05/34.15 | | | = e0)
% 203.05/34.15 | | |
% 203.05/34.15 | | | BETA: splitting (20) gives:
% 203.05/34.15 | | |
% 203.05/34.15 | | | Case 1:
% 203.05/34.15 | | | |
% 203.05/34.15 | | | | (21) all_58_13 = e0 & op(e0, e2) = e0
% 203.05/34.15 | | | |
% 203.05/34.15 | | | | ALPHA: (21) implies:
% 203.05/34.15 | | | | (22) all_58_13 = e0
% 203.05/34.15 | | | |
% 203.05/34.15 | | | | REF_CLOSE: (7), (14), (22) are inconsistent by sub-proof #1372.
% 203.05/34.15 | | | |
% 203.05/34.15 | | | Case 2:
% 203.05/34.15 | | | |
% 203.05/34.15 | | | | (23) all_58_14 = e0 & op(e0, e1) = e0
% 203.05/34.15 | | | |
% 203.05/34.15 | | | | ALPHA: (23) implies:
% 203.05/34.15 | | | | (24) all_58_14 = e0
% 203.05/34.15 | | | |
% 203.05/34.15 | | | | COMBINE_EQS: (13), (24) imply:
% 203.05/34.15 | | | | (25) e1 = e0
% 203.05/34.15 | | | |
% 203.05/34.15 | | | | SIMP: (25) implies:
% 203.05/34.15 | | | | (26) e1 = e0
% 203.05/34.15 | | | |
% 203.05/34.15 | | | | COMBINE_EQS: (9), (26) imply:
% 203.05/34.15 | | | | (27) all_58_6 = e0
% 203.05/34.15 | | | |
% 203.05/34.15 | | | | REF_CLOSE: (1), (3), (4), (5), (8), (10), (12), (15), (27) are
% 203.05/34.15 | | | | inconsistent by sub-proof #1265.
% 203.05/34.15 | | | |
% 203.05/34.15 | | | End of split
% 203.05/34.15 | | |
% 203.05/34.15 | | End of split
% 203.05/34.15 | |
% 203.05/34.15 | End of split
% 203.05/34.15 |
% 203.05/34.15 End of proof
% 203.05/34.15
% 203.05/34.15 Sub-proof #9 shows that the following formulas are inconsistent:
% 203.05/34.15 ----------------------------------------------------------------
% 203.05/34.15 (1) all_58_7 = e3
% 203.05/34.15 (2) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.05/34.15 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.05/34.15 (3) ~ (e3 = e0)
% 203.05/34.15 (4) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.05/34.15 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.05/34.15 (5) op(e3, e3) = e2
% 203.05/34.15 (6) ~ (e3 = e2)
% 203.05/34.15 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.05/34.15 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.05/34.15 (8) ~ (e3 = e1)
% 203.05/34.15 (9) ~ (all_14_2 = e3)
% 203.05/34.15 (10) ~ (all_52_2 = e2)
% 203.05/34.15 (11) ~ (e1 = e0)
% 203.05/34.15 (12) ~ (e2 = e1)
% 203.05/34.15 (13) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.05/34.15 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.05/34.15 (14) op(e3, e3) = all_14_2
% 203.05/34.15 (15) ~ (e2 = e0)
% 203.05/34.15 (16) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2 & op(e1, e2) = e2)
% 203.05/34.15 (17) all_58_2 = e3
% 203.05/34.15 (18) op(e1, e3) = all_52_2
% 203.05/34.15
% 203.05/34.15 Begin of proof
% 203.05/34.15 |
% 203.05/34.15 | BETA: splitting (16) gives:
% 203.05/34.15 |
% 203.05/34.15 | Case 1:
% 203.05/34.15 | |
% 203.05/34.15 | | (19) all_58_6 = e2 & op(e1, e3) = e2
% 203.05/34.15 | |
% 203.05/34.15 | | ALPHA: (19) implies:
% 203.05/34.15 | | (20) op(e1, e3) = e2
% 203.05/34.15 | |
% 203.05/34.15 | | REF_CLOSE: (7), (10), (18), (20) are inconsistent by sub-proof #1271.
% 203.05/34.15 | |
% 203.05/34.15 | Case 2:
% 203.05/34.15 | |
% 203.05/34.15 | | (21) all_58_7 = e2 & op(e1, e2) = e2
% 203.05/34.15 | |
% 203.05/34.15 | | ALPHA: (21) implies:
% 203.05/34.15 | | (22) all_58_7 = e2
% 203.05/34.15 | |
% 203.05/34.15 | | COMBINE_EQS: (1), (22) imply:
% 203.05/34.15 | | (23) e3 = e2
% 203.05/34.15 | |
% 203.05/34.15 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 203.05/34.15 | | (15), (17), (23) are inconsistent by sub-proof #1126.
% 203.05/34.15 | |
% 203.05/34.15 | End of split
% 203.05/34.15 |
% 203.05/34.15 End of proof
% 203.05/34.15
% 203.05/34.15 Sub-proof #10 shows that the following formulas are inconsistent:
% 203.05/34.15 ----------------------------------------------------------------
% 203.05/34.15 (1) all_56_12 = e2
% 203.05/34.15 (2) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.05/34.15 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.05/34.15 (3) ~ (all_52_14 = e3)
% 203.05/34.15 (4) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.15 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.15 (5) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.05/34.15 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.05/34.15 (6) ~ (all_52_3 = e3)
% 203.05/34.15 (7) ~ (e3 = e0)
% 203.05/34.15 (8) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.05/34.15 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.05/34.15 (9) ~ (all_52_7 = all_4_1)
% 203.05/34.15 (10) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.05/34.15 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.05/34.15 (11) op(e2, e2) = all_6_2
% 203.05/34.15 (12) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.05/34.15 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.05/34.15 (13) op(e1, e2) = all_52_6
% 203.05/34.15 (14) op(e2, e3) = all_52_1
% 203.05/34.15 (15) op(e3, e3) = e2
% 203.05/34.15 (16) op(e0, e2) = all_52_7
% 203.05/34.15 (17) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.05/34.15 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.05/34.15 (18) ~ (e3 = e2)
% 203.05/34.15 (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.05/34.15 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.05/34.15 (20) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.05/34.15 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.05/34.15 (21) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.15 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.05/34.15 (22) ~ (e3 = e1)
% 203.05/34.15 (23) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.05/34.15 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.05/34.15 (24) ~ (all_52_12 = e3)
% 203.05/34.15 (25) ~ (all_52_6 = e0)
% 203.05/34.15 (26) ~ (all_52_13 = e3)
% 203.05/34.15 (27) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 203.05/34.15 (28) op(e1, e0) = all_52_14
% 203.05/34.15 (29) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.05/34.15 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.05/34.15 (30) ~ (all_52_13 = e1)
% 203.05/34.15 (31) all_54_14 = all_4_1
% 203.05/34.15 (32) ~ (all_4_1 = e0)
% 203.05/34.15 (33) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.05/34.15 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.05/34.15 (34) ~ (all_14_2 = e3)
% 203.05/34.15 (35) all_56_15 = e3
% 203.05/34.15 (36) op(e0, e3) = all_52_3
% 203.05/34.15 (37) op(e2, e0) = all_52_13
% 203.05/34.15 (38) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.05/34.15 | (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 & op(e0, e0) =
% 203.05/34.15 e1)
% 203.05/34.15 (39) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.05/34.15 (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) = e3)
% 203.05/34.15 (40) ~ (all_52_1 = e1)
% 203.05/34.15 (41) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1)
% 203.05/34.15 (42) all_58_3 = e1
% 203.05/34.15 (43) ~ (e1 = e0)
% 203.05/34.15 (44) all_58_8 = e0
% 203.05/34.15 (45) ~ (all_52_9 = e1)
% 203.05/34.15 (46) ~ (all_52_3 = all_52_7)
% 203.05/34.15 (47) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.05/34.15 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.05/34.15 (48) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) = all_56_10
% 203.05/34.15 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 = e2) |
% 203.05/34.15 all_56_0 = e3) & ( ~ (all_56_14 = e2) | all_56_7 = e1) & ( ~
% 203.05/34.15 (all_56_15 = e2) | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.05/34.15 = e2) & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_0 = e0
% 203.05/34.15 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.15 (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.05/34.15 $i(all_56_6))) & (all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0)
% 203.05/34.15 = all_56_8 & $i(all_56_8))) & (all_56_10 = e3 | ( ~ (all_56_9 =
% 203.05/34.15 e2) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_10 = e1 |
% 203.05/34.15 ( ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.15 (all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.05/34.15 $i(all_56_3))) & (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2,
% 203.05/34.15 e1) = all_56_4 & $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.05/34.15 (all_56_5 = e2) & op(e2, e0) = all_56_5 & $i(all_56_5)))) |
% 203.05/34.15 (op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11
% 203.05/34.15 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.05/34.15 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.05/34.15 (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.05/34.15 = e1) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0
% 203.05/34.15 | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.15 (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.05/34.15 $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0)
% 203.05/34.15 = all_56_5 & $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 =
% 203.05/34.15 e1) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_11 = e2 |
% 203.05/34.15 ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 203.05/34.15 (all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.05/34.15 $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1,
% 203.05/34.15 e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.05/34.15 (all_56_8 = e1) & op(e1, e0) = all_56_8 & $i(all_56_8)))) |
% 203.05/34.15 (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 203.05/34.15 $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.05/34.15 all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.05/34.15 (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0 =
% 203.05/34.15 e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 |
% 203.05/34.15 ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.05/34.15 (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.05/34.15 $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1)
% 203.05/34.15 = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0)
% 203.05/34.15 & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.05/34.15 (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.05/34.15 (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.05/34.15 $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0,
% 203.05/34.15 e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.05/34.15 (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.05/34.15 (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.05/34.15 $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.05/34.15 all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.05/34.15 (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~ (all_56_4 =
% 203.05/34.15 e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.05/34.15 ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 203.05/34.15 (all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.05/34.15 $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0)
% 203.05/34.15 = all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 =
% 203.05/34.15 e3) & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1
% 203.05/34.15 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.15 (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.05/34.15 $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 203.05/34.15 e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.05/34.15 (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.05/34.15 (49) ~ (e2 = e1)
% 203.05/34.15 (50) op(e3, e0) = all_10_1
% 203.05/34.15 (51) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.05/34.15 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.05/34.15 (52) op(e3, e3) = all_14_2
% 203.05/34.15 (53) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.05/34.15 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.05/34.15 (54) op(e2, e2) = e1
% 203.05/34.15 (55) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.05/34.15 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.05/34.15 (56) ~ (all_4_1 = e1)
% 203.05/34.15 (57) op(e0, e0) = e3
% 203.05/34.15 (58) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2, e1) = e3) |
% 203.05/34.15 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) = e3)
% 203.05/34.15 (59) op(e3, e0) = all_52_12
% 203.05/34.15 (60) ~ (e2 = e0)
% 203.05/34.15 (61) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.15 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.05/34.15 e2)
% 203.05/34.15 (62) ~ (all_52_7 = e3)
% 203.05/34.15 (63) op(e2, e1) = all_52_9
% 203.05/34.15 (64) op(e0, e1) = all_4_1
% 203.05/34.15 (65) all_54_13 = all_52_7
% 203.05/34.15 (66) ~ (all_52_7 = e1)
% 203.05/34.15 (67) ~ (all_6_2 = e2)
% 203.05/34.15 (68) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 203.05/34.15 (69) op(e3, e0) = all_24_1
% 203.05/34.15 (70) ~ (all_4_1 = e3)
% 203.05/34.15 (71) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) = e3) |
% 203.05/34.15 (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0, e0) = e3)
% 203.05/34.15 (72) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.05/34.15 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.05/34.15
% 203.05/34.15 Begin of proof
% 203.05/34.15 |
% 203.05/34.15 | BETA: splitting (41) gives:
% 203.05/34.15 |
% 203.05/34.15 | Case 1:
% 203.05/34.15 | |
% 203.05/34.15 | | (73) all_58_4 = e1 & op(e3, e1) = e1
% 203.05/34.15 | |
% 203.05/34.15 | | ALPHA: (73) implies:
% 203.05/34.15 | | (74) all_58_4 = e1
% 203.05/34.15 | |
% 203.05/34.15 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 203.05/34.15 | | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 203.05/34.15 | | (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 203.05/34.15 | | (35), (36), (37), (38), (39), (40), (42), (43), (44), (45), (46),
% 203.05/34.15 | | (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 203.05/34.15 | | (58), (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 203.05/34.15 | | (69), (70), (71), (72), (74) are inconsistent by sub-proof #11.
% 203.05/34.15 | |
% 203.05/34.15 | Case 2:
% 203.05/34.15 | |
% 203.05/34.15 | | (75) all_58_5 = e1 & op(e2, e1) = e1
% 203.05/34.15 | |
% 203.05/34.15 | | ALPHA: (75) implies:
% 203.05/34.15 | | (76) op(e2, e1) = e1
% 203.05/34.15 | |
% 203.05/34.15 | | REF_CLOSE: (19), (45), (63), (76) are inconsistent by sub-proof #467.
% 203.05/34.15 | |
% 203.05/34.15 | End of split
% 203.05/34.15 |
% 203.05/34.15 End of proof
% 203.05/34.15
% 203.05/34.15 Sub-proof #11 shows that the following formulas are inconsistent:
% 203.05/34.15 ----------------------------------------------------------------
% 203.05/34.15 (1) all_56_12 = e2
% 203.05/34.15 (2) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.05/34.15 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.05/34.15 (3) ~ (all_52_14 = e3)
% 203.05/34.15 (4) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.15 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.15 (5) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.05/34.15 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.05/34.15 (6) ~ (all_52_3 = e3)
% 203.05/34.15 (7) ~ (e3 = e0)
% 203.05/34.15 (8) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.05/34.15 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.05/34.15 (9) ~ (all_52_7 = all_4_1)
% 203.05/34.15 (10) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.05/34.15 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.05/34.15 (11) op(e2, e2) = all_6_2
% 203.05/34.15 (12) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.05/34.15 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.05/34.15 (13) op(e1, e2) = all_52_6
% 203.05/34.15 (14) op(e2, e3) = all_52_1
% 203.05/34.15 (15) op(e3, e3) = e2
% 203.05/34.15 (16) op(e0, e2) = all_52_7
% 203.05/34.15 (17) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.05/34.15 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.05/34.15 (18) ~ (e3 = e2)
% 203.05/34.15 (19) all_58_4 = e1
% 203.05/34.15 (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.05/34.15 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.05/34.15 (21) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.05/34.15 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.05/34.15 (22) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.15 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.05/34.15 (23) ~ (e3 = e1)
% 203.05/34.15 (24) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.05/34.15 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.05/34.15 (25) ~ (all_52_12 = e3)
% 203.05/34.15 (26) ~ (all_52_6 = e0)
% 203.05/34.15 (27) ~ (all_52_13 = e3)
% 203.05/34.15 (28) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 203.05/34.15 (29) op(e1, e0) = all_52_14
% 203.05/34.15 (30) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.05/34.15 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.05/34.15 (31) ~ (all_52_13 = e1)
% 203.05/34.15 (32) all_54_14 = all_4_1
% 203.05/34.15 (33) ~ (all_4_1 = e0)
% 203.05/34.15 (34) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.05/34.15 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.05/34.15 (35) ~ (all_14_2 = e3)
% 203.05/34.15 (36) all_56_15 = e3
% 203.05/34.15 (37) op(e0, e3) = all_52_3
% 203.05/34.15 (38) op(e2, e0) = all_52_13
% 203.05/34.15 (39) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.05/34.15 | (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 & op(e0, e0) =
% 203.05/34.15 e1)
% 203.05/34.15 (40) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.05/34.15 (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) = e3)
% 203.05/34.15 (41) ~ (all_52_1 = e1)
% 203.05/34.15 (42) all_58_3 = e1
% 203.05/34.15 (43) ~ (e1 = e0)
% 203.05/34.15 (44) all_58_8 = e0
% 203.05/34.15 (45) ~ (all_52_9 = e1)
% 203.05/34.15 (46) ~ (all_52_3 = all_52_7)
% 203.05/34.15 (47) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.05/34.15 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.05/34.16 (48) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) = all_56_10
% 203.05/34.16 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 = e2) |
% 203.05/34.16 all_56_0 = e3) & ( ~ (all_56_14 = e2) | all_56_7 = e1) & ( ~
% 203.05/34.16 (all_56_15 = e2) | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.05/34.16 = e2) & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_0 = e0
% 203.05/34.16 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.16 (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.05/34.16 $i(all_56_6))) & (all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0)
% 203.05/34.16 = all_56_8 & $i(all_56_8))) & (all_56_10 = e3 | ( ~ (all_56_9 =
% 203.05/34.16 e2) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_10 = e1 |
% 203.05/34.16 ( ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.16 (all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.05/34.16 $i(all_56_3))) & (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2,
% 203.05/34.16 e1) = all_56_4 & $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.05/34.16 (all_56_5 = e2) & op(e2, e0) = all_56_5 & $i(all_56_5)))) |
% 203.05/34.16 (op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11
% 203.05/34.16 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.05/34.16 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.05/34.16 (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.05/34.16 = e1) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0
% 203.05/34.16 | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.16 (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.05/34.16 $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0)
% 203.05/34.16 = all_56_5 & $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 =
% 203.05/34.16 e1) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_11 = e2 |
% 203.05/34.16 ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 203.05/34.16 (all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.05/34.16 $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1,
% 203.05/34.16 e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.05/34.16 (all_56_8 = e1) & op(e1, e0) = all_56_8 & $i(all_56_8)))) |
% 203.05/34.16 (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 203.05/34.16 $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.05/34.16 all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.05/34.16 (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0 =
% 203.05/34.16 e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 |
% 203.05/34.16 ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.05/34.16 (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.05/34.16 $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1)
% 203.05/34.16 = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0)
% 203.05/34.16 & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.05/34.16 (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.05/34.16 (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.05/34.16 $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0,
% 203.05/34.16 e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.05/34.16 (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.05/34.16 (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.05/34.16 $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.05/34.16 all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.05/34.16 (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~ (all_56_4 =
% 203.05/34.16 e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.05/34.16 ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 203.05/34.16 (all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.05/34.16 $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0)
% 203.05/34.16 = all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 =
% 203.05/34.16 e3) & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1
% 203.05/34.16 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.16 (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.05/34.16 $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 203.05/34.16 e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.05/34.16 (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.05/34.16 (49) ~ (e2 = e1)
% 203.05/34.16 (50) op(e3, e0) = all_10_1
% 203.05/34.16 (51) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.05/34.16 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.05/34.16 (52) op(e3, e3) = all_14_2
% 203.05/34.16 (53) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.05/34.16 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.05/34.16 (54) op(e2, e2) = e1
% 203.05/34.16 (55) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.05/34.16 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.05/34.16 (56) ~ (all_4_1 = e1)
% 203.05/34.16 (57) op(e0, e0) = e3
% 203.05/34.16 (58) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2, e1) = e3) |
% 203.05/34.16 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) = e3)
% 203.05/34.16 (59) op(e3, e0) = all_52_12
% 203.05/34.16 (60) ~ (e2 = e0)
% 203.05/34.16 (61) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.16 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.05/34.16 e2)
% 203.05/34.16 (62) ~ (all_52_7 = e3)
% 203.05/34.16 (63) op(e2, e1) = all_52_9
% 203.05/34.16 (64) op(e0, e1) = all_4_1
% 203.05/34.16 (65) all_54_13 = all_52_7
% 203.05/34.16 (66) ~ (all_52_7 = e1)
% 203.05/34.16 (67) ~ (all_6_2 = e2)
% 203.05/34.16 (68) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 203.05/34.16 (69) op(e3, e0) = all_24_1
% 203.05/34.16 (70) ~ (all_4_1 = e3)
% 203.05/34.16 (71) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) = e3) |
% 203.05/34.16 (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0, e0) = e3)
% 203.05/34.16 (72) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.05/34.16 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.05/34.16
% 203.05/34.16 Begin of proof
% 203.05/34.16 |
% 203.05/34.16 | BETA: splitting (58) gives:
% 203.05/34.16 |
% 203.05/34.16 | Case 1:
% 203.05/34.16 | |
% 203.05/34.16 | | (73) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2, e1) =
% 203.05/34.16 | | e3)
% 203.05/34.16 | |
% 203.05/34.16 | | BETA: splitting (73) gives:
% 203.05/34.16 | |
% 203.05/34.16 | | Case 1:
% 203.05/34.16 | | |
% 203.05/34.16 | | | (74) all_58_4 = e3 & op(e3, e1) = e3
% 203.05/34.16 | | |
% 203.05/34.16 | | | ALPHA: (74) implies:
% 203.05/34.16 | | | (75) all_58_4 = e3
% 203.05/34.16 | | |
% 203.05/34.16 | | | REF_CLOSE: (19), (23), (75) are inconsistent by sub-proof #981.
% 203.05/34.16 | | |
% 203.05/34.16 | | Case 2:
% 203.05/34.16 | | |
% 203.05/34.16 | | | (76) all_58_5 = e3 & op(e2, e1) = e3
% 203.05/34.16 | | |
% 203.05/34.16 | | | ALPHA: (76) implies:
% 203.05/34.16 | | | (77) all_58_5 = e3
% 203.05/34.16 | | |
% 203.05/34.16 | | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 203.05/34.16 | | | (14), (15), (16), (17), (19), (20), (21), (22), (23), (24),
% 203.05/34.16 | | | (25), (26), (27), (28), (29), (30), (31), (32), (33), (35),
% 203.05/34.16 | | | (36), (37), (38), (41), (42), (44), (45), (46), (47), (48),
% 203.05/34.16 | | | (50), (51), (52), (53), (54), (55), (56), (59), (62), (63),
% 203.05/34.16 | | | (64), (65), (66), (67), (68), (69), (70), (72), (77) are
% 203.05/34.16 | | | inconsistent by sub-proof #13.
% 203.05/34.16 | | |
% 203.05/34.16 | | End of split
% 203.05/34.16 | |
% 203.05/34.16 | Case 2:
% 203.05/34.16 | |
% 203.05/34.16 | | (78) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) =
% 203.05/34.16 | | e3)
% 203.05/34.16 | |
% 203.05/34.16 | | REF_CLOSE: (2), (3), (4), (5), (7), (11), (12), (13), (14), (16), (17),
% 203.05/34.16 | | (18), (19), (20), (21), (23), (25), (26), (27), (29), (30), (31),
% 203.05/34.16 | | (34), (35), (38), (39), (40), (41), (43), (44), (45), (47), (49),
% 203.05/34.16 | | (50), (51), (52), (53), (54), (55), (57), (59), (60), (61), (62),
% 203.05/34.16 | | (63), (67), (69), (71), (78) are inconsistent by sub-proof #12.
% 203.05/34.16 | |
% 203.05/34.16 | End of split
% 203.05/34.16 |
% 203.05/34.16 End of proof
% 203.05/34.16
% 203.05/34.16 Sub-proof #12 shows that the following formulas are inconsistent:
% 203.05/34.16 ----------------------------------------------------------------
% 203.05/34.16 (1) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.05/34.16 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.05/34.16 (2) ~ (all_52_14 = e3)
% 203.05/34.16 (3) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.16 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.16 (4) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.05/34.16 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.05/34.16 (5) ~ (e3 = e0)
% 203.05/34.16 (6) op(e2, e2) = all_6_2
% 203.05/34.16 (7) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.05/34.16 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.05/34.16 (8) op(e1, e2) = all_52_6
% 203.05/34.16 (9) op(e2, e3) = all_52_1
% 203.05/34.16 (10) op(e0, e2) = all_52_7
% 203.05/34.16 (11) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.05/34.16 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.05/34.16 (12) ~ (e3 = e2)
% 203.05/34.16 (13) all_58_4 = e1
% 203.05/34.16 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.05/34.16 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.05/34.16 (15) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.05/34.16 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.05/34.16 (16) ~ (e3 = e1)
% 203.05/34.16 (17) ~ (all_52_12 = e3)
% 203.05/34.16 (18) ~ (all_52_6 = e0)
% 203.05/34.16 (19) ~ (all_52_13 = e3)
% 203.05/34.16 (20) op(e1, e0) = all_52_14
% 203.05/34.16 (21) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.05/34.16 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.05/34.16 (22) ~ (all_52_13 = e1)
% 203.05/34.16 (23) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.05/34.16 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.05/34.16 (24) ~ (all_14_2 = e3)
% 203.05/34.16 (25) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) = e3)
% 203.05/34.16 (26) op(e2, e0) = all_52_13
% 203.05/34.16 (27) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.05/34.16 | (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 & op(e0, e0) =
% 203.05/34.16 e1)
% 203.05/34.16 (28) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.05/34.16 (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) = e3)
% 203.05/34.16 (29) ~ (all_52_1 = e1)
% 203.05/34.16 (30) ~ (e1 = e0)
% 203.05/34.16 (31) all_58_8 = e0
% 203.05/34.16 (32) ~ (all_52_9 = e1)
% 203.05/34.16 (33) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.05/34.16 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.05/34.16 (34) ~ (e2 = e1)
% 203.05/34.16 (35) op(e3, e0) = all_10_1
% 203.05/34.16 (36) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.05/34.16 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.05/34.16 (37) op(e3, e3) = all_14_2
% 203.05/34.16 (38) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.05/34.16 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.05/34.16 (39) op(e2, e2) = e1
% 203.05/34.16 (40) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.05/34.16 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.05/34.16 (41) op(e0, e0) = e3
% 203.05/34.16 (42) op(e3, e0) = all_52_12
% 203.05/34.16 (43) ~ (e2 = e0)
% 203.05/34.16 (44) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.16 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.05/34.16 e2)
% 203.05/34.16 (45) ~ (all_52_7 = e3)
% 203.05/34.16 (46) op(e2, e1) = all_52_9
% 203.05/34.16 (47) ~ (all_6_2 = e2)
% 203.05/34.16 (48) op(e3, e0) = all_24_1
% 203.05/34.16 (49) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) = e3) |
% 203.05/34.16 (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0, e0) = e3)
% 203.05/34.16
% 203.05/34.16 Begin of proof
% 203.05/34.16 |
% 203.05/34.16 | BETA: splitting (25) gives:
% 203.05/34.16 |
% 203.05/34.16 | Case 1:
% 203.05/34.16 | |
% 203.05/34.16 | | (50) all_58_8 = e3 & op(e1, e1) = e3
% 203.05/34.16 | |
% 203.05/34.16 | | ALPHA: (50) implies:
% 203.05/34.16 | | (51) all_58_8 = e3
% 203.05/34.16 | |
% 203.05/34.16 | | REF_CLOSE: (5), (31), (51) are inconsistent by sub-proof #1630.
% 203.05/34.16 | |
% 203.05/34.16 | Case 2:
% 203.05/34.16 | |
% 203.05/34.16 | | (52) all_58_14 = e3 & op(e0, e1) = e3
% 203.05/34.16 | |
% 203.05/34.16 | | ALPHA: (52) implies:
% 203.05/34.16 | | (53) all_58_14 = e3
% 203.05/34.16 | |
% 203.05/34.16 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 203.05/34.16 | | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 203.05/34.16 | | (24), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 203.05/34.16 | | (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 203.05/34.16 | | (47), (48), (49), (53) are inconsistent by sub-proof #36.
% 203.05/34.16 | |
% 203.05/34.16 | End of split
% 203.05/34.16 |
% 203.05/34.16 End of proof
% 203.05/34.16
% 203.05/34.16 Sub-proof #13 shows that the following formulas are inconsistent:
% 203.05/34.16 ----------------------------------------------------------------
% 203.05/34.16 (1) all_56_12 = e2
% 203.05/34.16 (2) ~ (all_52_14 = e3)
% 203.05/34.16 (3) all_58_5 = e3
% 203.05/34.16 (4) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.16 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.05/34.16 (5) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.05/34.16 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.05/34.16 (6) ~ (all_52_3 = e3)
% 203.05/34.16 (7) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.05/34.16 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.05/34.16 (8) ~ (all_52_7 = all_4_1)
% 203.05/34.16 (9) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.05/34.16 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.05/34.16 (10) op(e2, e2) = all_6_2
% 203.05/34.16 (11) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.05/34.16 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.05/34.16 (12) op(e1, e2) = all_52_6
% 203.05/34.16 (13) op(e2, e3) = all_52_1
% 203.05/34.16 (14) op(e3, e3) = e2
% 203.05/34.16 (15) op(e0, e2) = all_52_7
% 203.05/34.16 (16) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.05/34.16 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.05/34.16 (17) all_58_4 = e1
% 203.05/34.16 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.05/34.16 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.05/34.16 (19) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.05/34.16 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.05/34.16 (20) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.05/34.16 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.05/34.16 (21) ~ (e3 = e1)
% 203.05/34.16 (22) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.05/34.16 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.05/34.16 (23) ~ (all_52_12 = e3)
% 203.05/34.16 (24) ~ (all_52_6 = e0)
% 203.05/34.16 (25) ~ (all_52_13 = e3)
% 203.05/34.16 (26) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 203.05/34.16 (27) op(e1, e0) = all_52_14
% 203.05/34.16 (28) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.05/34.16 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.05/34.16 (29) ~ (all_52_13 = e1)
% 203.05/34.16 (30) all_54_14 = all_4_1
% 203.05/34.16 (31) ~ (all_4_1 = e0)
% 203.05/34.16 (32) ~ (all_14_2 = e3)
% 203.05/34.16 (33) all_56_15 = e3
% 203.05/34.16 (34) op(e0, e3) = all_52_3
% 203.05/34.16 (35) op(e2, e0) = all_52_13
% 203.05/34.16 (36) ~ (all_52_1 = e1)
% 203.05/34.16 (37) all_58_3 = e1
% 203.05/34.16 (38) all_58_8 = e0
% 203.05/34.16 (39) ~ (all_52_9 = e1)
% 203.05/34.16 (40) ~ (all_52_3 = all_52_7)
% 203.05/34.16 (41) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.05/34.16 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.05/34.16 (42) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) = all_56_10
% 203.05/34.16 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 = e2) |
% 203.05/34.16 all_56_0 = e3) & ( ~ (all_56_14 = e2) | all_56_7 = e1) & ( ~
% 203.05/34.16 (all_56_15 = e2) | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.05/34.16 = e2) & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_0 = e0
% 203.05/34.16 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.16 (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.05/34.16 $i(all_56_6))) & (all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0)
% 203.05/34.16 = all_56_8 & $i(all_56_8))) & (all_56_10 = e3 | ( ~ (all_56_9 =
% 203.05/34.16 e2) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_10 = e1 |
% 203.05/34.16 ( ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.16 (all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.05/34.16 $i(all_56_3))) & (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2,
% 203.05/34.16 e1) = all_56_4 & $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.05/34.16 (all_56_5 = e2) & op(e2, e0) = all_56_5 & $i(all_56_5)))) |
% 203.05/34.16 (op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11
% 203.05/34.16 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.05/34.16 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.05/34.16 (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.05/34.16 = e1) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0
% 203.05/34.16 | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.05/34.16 (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.05/34.16 $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0)
% 203.05/34.16 = all_56_5 & $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 =
% 203.05/34.16 e1) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_11 = e2 |
% 203.05/34.16 ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 203.05/34.16 (all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.05/34.16 $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1,
% 203.05/34.16 e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.05/34.16 (all_56_8 = e1) & op(e1, e0) = all_56_8 & $i(all_56_8)))) |
% 203.05/34.16 (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 203.05/34.16 $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.05/34.16 all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.05/34.16 (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0 =
% 203.05/34.16 e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 |
% 203.05/34.16 ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.05/34.16 (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.05/34.16 $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1)
% 203.05/34.16 = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0)
% 203.05/34.16 & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.05/34.16 (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.05/34.16 (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.05/34.16 $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0,
% 203.05/34.16 e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.05/34.16 (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.05/34.16 (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.05/34.16 $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.05/34.16 all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.05/34.16 (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~ (all_56_4 =
% 203.05/34.16 e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.05/34.16 ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 203.05/34.16 (all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.05/34.16 $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0)
% 203.05/34.16 = all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 =
% 203.05/34.16 e3) & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1
% 203.05/34.16 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.05/34.16 (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.05/34.16 $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 203.05/34.16 e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.05/34.16 (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.05/34.16 (43) op(e3, e0) = all_10_1
% 203.05/34.16 (44) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.05/34.16 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.05/34.16 (45) op(e3, e3) = all_14_2
% 203.05/34.16 (46) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.05/34.16 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.05/34.16 (47) op(e2, e2) = e1
% 203.05/34.16 (48) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.05/34.16 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.05/34.16 (49) ~ (all_4_1 = e1)
% 203.05/34.16 (50) op(e3, e0) = all_52_12
% 203.05/34.16 (51) ~ (all_52_7 = e3)
% 203.05/34.16 (52) op(e2, e1) = all_52_9
% 203.05/34.16 (53) op(e0, e1) = all_4_1
% 203.05/34.16 (54) all_54_13 = all_52_7
% 203.05/34.16 (55) ~ (all_52_7 = e1)
% 203.05/34.16 (56) ~ (all_6_2 = e2)
% 203.05/34.16 (57) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 203.05/34.16 (58) op(e3, e0) = all_24_1
% 203.05/34.16 (59) ~ (all_4_1 = e3)
% 203.05/34.16 (60) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.05/34.16 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.05/34.16
% 203.05/34.16 Begin of proof
% 203.05/34.16 |
% 203.05/34.16 | BETA: splitting (26) gives:
% 203.05/34.16 |
% 203.05/34.16 | Case 1:
% 203.05/34.16 | |
% 203.05/34.16 | | (61) all_54_14 = e2
% 203.05/34.16 | |
% 203.05/34.16 | | COMBINE_EQS: (30), (61) imply:
% 203.05/34.16 | | (62) all_4_1 = e2
% 203.05/34.16 | |
% 203.05/34.16 | | SIMP: (62) implies:
% 203.05/34.16 | | (63) all_4_1 = e2
% 203.05/34.16 | |
% 203.05/34.16 | | REDUCE: (8), (63) imply:
% 203.05/34.16 | | (64) ~ (all_52_7 = e2)
% 203.05/34.16 | |
% 203.05/34.16 | | REDUCE: (59), (63) imply:
% 203.05/34.16 | | (65) ~ (e3 = e2)
% 203.05/34.16 | |
% 203.05/34.16 | | SIMP: (65) implies:
% 203.05/34.16 | | (66) ~ (e3 = e2)
% 203.05/34.16 | |
% 203.05/34.16 | | REDUCE: (49), (63) imply:
% 203.05/34.16 | | (67) ~ (e2 = e1)
% 203.05/34.16 | |
% 203.05/34.16 | | REDUCE: (53), (63) imply:
% 203.05/34.16 | | (68) op(e0, e1) = e2
% 203.05/34.16 | |
% 203.05/34.16 | | BETA: splitting (57) gives:
% 203.05/34.16 | |
% 203.05/34.16 | | Case 1:
% 203.05/34.16 | | |
% 203.05/34.16 | | | (69) all_54_13 = e3
% 203.05/34.16 | | |
% 203.05/34.16 | | | REF_CLOSE: (51), (54), (69) are inconsistent by sub-proof #1294.
% 203.05/34.16 | | |
% 203.05/34.16 | | Case 2:
% 203.05/34.16 | | |
% 203.05/34.16 | | | (70) ~ (all_54_13 = e3)
% 203.05/34.16 | | | (71) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 203.05/34.16 | | |
% 203.05/34.16 | | | BETA: splitting (71) gives:
% 203.05/34.16 | | |
% 203.05/34.16 | | | Case 1:
% 203.05/34.16 | | | |
% 203.05/34.16 | | | | (72) all_54_13 = e2
% 203.05/34.16 | | | |
% 203.05/34.16 | | | | REF_CLOSE: (54), (64), (72) are inconsistent by sub-proof #1284.
% 203.05/34.16 | | | |
% 203.05/34.16 | | | Case 2:
% 203.05/34.16 | | | |
% 203.05/34.16 | | | | (73) ~ (all_54_13 = e2)
% 203.05/34.16 | | | | (74) all_54_13 = e1 | all_54_13 = e0
% 203.05/34.16 | | | |
% 203.05/34.16 | | | | BETA: splitting (9) gives:
% 203.05/34.16 | | | |
% 203.05/34.16 | | | | Case 1:
% 203.05/34.16 | | | | |
% 203.05/34.16 | | | | | (75) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2,
% 203.05/34.16 | | | | | e3) = e3)
% 203.05/34.16 | | | | |
% 203.05/34.16 | | | | | BETA: splitting (75) gives:
% 203.05/34.16 | | | | |
% 203.05/34.16 | | | | | Case 1:
% 203.05/34.16 | | | | | |
% 203.05/34.16 | | | | | | (76) all_58_0 = e3 & op(e3, e3) = e3
% 203.05/34.16 | | | | | |
% 203.05/34.16 | | | | | | REF_CLOSE: (18), (32), (45), (76) are inconsistent by sub-proof
% 203.05/34.16 | | | | | | #1415.
% 203.05/34.16 | | | | | |
% 203.05/34.16 | | | | | Case 2:
% 203.05/34.16 | | | | | |
% 203.05/34.16 | | | | | | (77) all_58_2 = e3 & op(e2, e3) = e3
% 203.05/34.16 | | | | | |
% 203.05/34.16 | | | | | | ALPHA: (77) implies:
% 203.05/34.16 | | | | | | (78) all_58_2 = e3
% 203.05/34.16 | | | | | |
% 203.05/34.16 | | | | | | BETA: splitting (74) gives:
% 203.05/34.16 | | | | | |
% 203.05/34.16 | | | | | | Case 1:
% 203.05/34.16 | | | | | | |
% 203.05/34.16 | | | | | | | (79) all_54_13 = e1
% 203.05/34.16 | | | | | | |
% 203.05/34.16 | | | | | | | COMBINE_EQS: (54), (79) imply:
% 203.05/34.16 | | | | | | | (80) all_52_7 = e1
% 203.05/34.16 | | | | | | |
% 203.05/34.16 | | | | | | | REDUCE: (55), (80) imply:
% 203.05/34.16 | | | | | | | (81) $false
% 203.05/34.16 | | | | | | |
% 203.05/34.16 | | | | | | | CLOSE: (81) is inconsistent.
% 203.05/34.16 | | | | | | |
% 203.05/34.16 | | | | | | Case 2:
% 203.05/34.16 | | | | | | |
% 203.05/34.16 | | | | | | | (82) all_54_13 = e0
% 203.05/34.16 | | | | | | |
% 203.05/34.16 | | | | | | | COMBINE_EQS: (54), (82) imply:
% 203.05/34.16 | | | | | | | (83) all_52_7 = e0
% 203.05/34.16 | | | | | | |
% 203.05/34.16 | | | | | | | REDUCE: (40), (83) imply:
% 203.05/34.16 | | | | | | | (84) ~ (all_52_3 = e0)
% 203.05/34.16 | | | | | | |
% 203.05/34.16 | | | | | | | REDUCE: (51), (83) imply:
% 203.05/34.16 | | | | | | | (85) ~ (e3 = e0)
% 203.05/34.16 | | | | | | |
% 203.05/34.16 | | | | | | | SIMP: (85) implies:
% 203.05/34.16 | | | | | | | (86) ~ (e3 = e0)
% 203.05/34.16 | | | | | | |
% 203.05/34.16 | | | | | | | REDUCE: (64), (83) imply:
% 203.05/34.16 | | | | | | | (87) ~ (e2 = e0)
% 203.05/34.16 | | | | | | |
% 203.05/34.16 | | | | | | | SIMP: (87) implies:
% 203.05/34.16 | | | | | | | (88) ~ (e2 = e0)
% 203.05/34.16 | | | | | | |
% 203.05/34.16 | | | | | | | REDUCE: (55), (83) imply:
% 203.05/34.16 | | | | | | | (89) ~ (e1 = e0)
% 203.05/34.16 | | | | | | |
% 203.05/34.16 | | | | | | | SIMP: (89) implies:
% 203.05/34.16 | | | | | | | (90) ~ (e1 = e0)
% 203.05/34.16 | | | | | | |
% 203.05/34.17 | | | | | | | REF_CLOSE: (2), (4), (5), (7), (10), (11), (12), (13), (14), (15),
% 203.05/34.17 | | | | | | | (16), (17), (18), (19), (21), (22), (23), (24), (27),
% 203.05/34.17 | | | | | | | (28), (29), (32), (34), (35), (36), (37), (38), (39),
% 203.05/34.17 | | | | | | | (41), (43), (44), (45), (46), (47), (48), (50), (51),
% 203.05/34.17 | | | | | | | (52), (56), (58), (60), (66), (67), (78), (84), (86),
% 203.05/34.17 | | | | | | | (88), (90) are inconsistent by sub-proof #15.
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | End of split
% 203.05/34.17 | | | | | |
% 203.05/34.17 | | | | | End of split
% 203.05/34.17 | | | | |
% 203.05/34.17 | | | | Case 2:
% 203.05/34.17 | | | | |
% 203.05/34.17 | | | | | (91) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0,
% 203.05/34.17 | | | | | e3) = e3)
% 203.05/34.17 | | | | |
% 203.05/34.17 | | | | | BETA: splitting (91) gives:
% 203.05/34.17 | | | | |
% 203.05/34.17 | | | | | Case 1:
% 203.05/34.17 | | | | | |
% 203.05/34.17 | | | | | | (92) all_58_6 = e3 & op(e1, e3) = e3
% 203.05/34.17 | | | | | |
% 203.05/34.17 | | | | | | ALPHA: (92) implies:
% 203.05/34.17 | | | | | | (93) all_58_6 = e3
% 203.05/34.17 | | | | | |
% 203.05/34.17 | | | | | | BETA: splitting (74) gives:
% 203.05/34.17 | | | | | |
% 203.05/34.17 | | | | | | Case 1:
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | | (94) all_54_13 = e1
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | | COMBINE_EQS: (54), (94) imply:
% 203.05/34.17 | | | | | | | (95) all_52_7 = e1
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | | REDUCE: (55), (95) imply:
% 203.05/34.17 | | | | | | | (96) $false
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | | CLOSE: (96) is inconsistent.
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | Case 2:
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | | (97) all_54_13 = e0
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | | COMBINE_EQS: (54), (97) imply:
% 203.05/34.17 | | | | | | | (98) all_52_7 = e0
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | | REDUCE: (40), (98) imply:
% 203.05/34.17 | | | | | | | (99) ~ (all_52_3 = e0)
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | | REDUCE: (51), (98) imply:
% 203.05/34.17 | | | | | | | (100) ~ (e3 = e0)
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | | SIMP: (100) implies:
% 203.05/34.17 | | | | | | | (101) ~ (e3 = e0)
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | | REDUCE: (64), (98) imply:
% 203.05/34.17 | | | | | | | (102) ~ (e2 = e0)
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | | SIMP: (102) implies:
% 203.05/34.17 | | | | | | | (103) ~ (e2 = e0)
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | | REDUCE: (55), (98) imply:
% 203.05/34.17 | | | | | | | (104) ~ (e1 = e0)
% 203.05/34.17 | | | | | | |
% 203.05/34.17 | | | | | | | SIMP: (104) implies:
% 203.05/34.17 | | | | | | | (105) ~ (e1 = e0)
% 203.05/34.17 | | | | | | |
% 203.37/34.17 | | | | | | | REDUCE: (15), (98) imply:
% 203.37/34.17 | | | | | | | (106) op(e0, e2) = e0
% 203.37/34.17 | | | | | | |
% 203.37/34.17 | | | | | | | BETA: splitting (44) gives:
% 203.37/34.17 | | | | | | |
% 203.37/34.17 | | | | | | | Case 1:
% 203.37/34.17 | | | | | | | |
% 203.37/34.17 | | | | | | | | (107) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 &
% 203.37/34.17 | | | | | | | | op(e2, e3) = e0)
% 203.37/34.17 | | | | | | | |
% 203.37/34.17 | | | | | | | | BETA: splitting (107) gives:
% 203.37/34.17 | | | | | | | |
% 203.37/34.17 | | | | | | | | Case 1:
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | | (108) all_58_0 = e0 & op(e3, e3) = e0
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | | ALPHA: (108) implies:
% 203.37/34.17 | | | | | | | | | (109) op(e3, e3) = e0
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | | REF_CLOSE: (14), (18), (103), (109) are inconsistent by
% 203.37/34.17 | | | | | | | | | sub-proof #1919.
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | Case 2:
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | | (110) all_58_2 = e0 & op(e2, e3) = e0
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | | ALPHA: (110) implies:
% 203.37/34.17 | | | | | | | | | (111) all_58_2 = e0
% 203.37/34.17 | | | | | | | | | (112) op(e2, e3) = e0
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | | BETA: splitting (11) gives:
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | | Case 1:
% 203.37/34.17 | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | (113) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 203.37/34.17 | | | | | | | | | | & op(e3, e2) = e3)
% 203.37/34.17 | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | BETA: splitting (113) gives:
% 203.37/34.17 | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | Case 1:
% 203.37/34.17 | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | (114) all_58_0 = e3 & op(e3, e3) = e3
% 203.37/34.17 | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | REF_CLOSE: (18), (32), (45), (114) are inconsistent by
% 203.37/34.17 | | | | | | | | | | | sub-proof #1415.
% 203.37/34.17 | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | Case 2:
% 203.37/34.17 | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | (115) all_58_1 = e3 & op(e3, e2) = e3
% 203.37/34.17 | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | ALPHA: (115) implies:
% 203.37/34.17 | | | | | | | | | | | (116) all_58_1 = e3
% 203.37/34.17 | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | BETA: splitting (5) gives:
% 203.37/34.17 | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | Case 1:
% 203.37/34.17 | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | (117) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 203.37/34.17 | | | | | | | | | | | | & op(e2, e3) = e1)
% 203.37/34.17 | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | REF_CLOSE: (13), (17), (18), (22), (36), (60), (66), (67),
% 203.37/34.17 | | | | | | | | | | | | (101), (103), (105), (116), (117) are inconsistent
% 203.37/34.17 | | | | | | | | | | | | by sub-proof #17.
% 203.37/34.17 | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | Case 2:
% 203.37/34.17 | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | (118) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 203.37/34.17 | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 203.37/34.17 | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | BETA: splitting (118) gives:
% 203.37/34.17 | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | Case 1:
% 203.37/34.17 | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | (119) all_58_6 = e1 & op(e1, e3) = e1
% 203.37/34.17 | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | ALPHA: (119) implies:
% 203.37/34.17 | | | | | | | | | | | | | (120) all_58_6 = e1
% 203.37/34.17 | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | REF_CLOSE: (21), (93), (120) are inconsistent by sub-proof
% 203.37/34.17 | | | | | | | | | | | | | #1238.
% 203.37/34.17 | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | Case 2:
% 203.37/34.17 | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | (121) all_58_12 = e1 & op(e0, e3) = e1
% 203.37/34.17 | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | ALPHA: (121) implies:
% 203.37/34.17 | | | | | | | | | | | | | (122) op(e0, e3) = e1
% 203.37/34.17 | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | BETA: splitting (42) gives:
% 203.37/34.17 | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | Case 1:
% 203.37/34.17 | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | (123) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 203.37/34.17 | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 203.37/34.17 | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 203.37/34.17 | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 203.37/34.17 | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 203.37/34.17 | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 203.37/34.17 | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 203.37/34.17 | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 203.37/34.17 | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 203.37/34.17 | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_8))))
% 203.37/34.17 | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 203.37/34.17 | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | Case 1:
% 203.37/34.17 | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | (124) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 203.37/34.17 | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 203.37/34.17 | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 203.37/34.17 | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 203.37/34.17 | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.37/34.17 | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_5)))
% 203.37/34.17 | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | ALPHA: (124) implies:
% 203.37/34.17 | | | | | | | | | | | | | | | (125) op(e0, e2) = all_56_10
% 203.37/34.17 | | | | | | | | | | | | | | | (126) all_56_10 = e1 | ( ~ (all_56_11 = e2) & op(e0, e1)
% 203.37/34.17 | | | | | | | | | | | | | | | = all_56_11 & $i(all_56_11))
% 203.37/34.17 | | | | | | | | | | | | | | | (127) all_56_0 = e0 | ( ~ (all_56_2 = e2) & op(e3, e0) =
% 203.37/34.17 | | | | | | | | | | | | | | | all_56_2 & $i(all_56_2))
% 203.37/34.17 | | | | | | | | | | | | | | | (128) ~ (all_56_12 = e2) | all_56_0 = e3
% 203.37/34.17 | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | BETA: splitting (20) gives:
% 203.37/34.17 | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | Case 1:
% 203.37/34.17 | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | (129) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 203.37/34.17 | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 203.37/34.17 | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 203.37/34.17 | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | Case 1:
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | | (130) all_58_2 = e2 & op(e2, e3) = e2
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | | ALPHA: (130) implies:
% 203.37/34.17 | | | | | | | | | | | | | | | | | (131) all_58_2 = e2
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14), (18), (21), (44), (67), (93), (101),
% 203.37/34.17 | | | | | | | | | | | | | | | | | (103), (105), (131) are inconsistent by sub-proof
% 203.37/34.17 | | | | | | | | | | | | | | | | | #1236.
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | Case 2:
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | | (132) all_58_3 = e2 & op(e2, e2) = e2
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (18), (56), (132) are inconsistent by
% 203.37/34.17 | | | | | | | | | | | | | | | | | sub-proof #624.
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | End of split
% 203.37/34.17 | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | Case 2:
% 203.37/34.17 | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | (133) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 203.37/34.17 | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 203.37/34.17 | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 203.37/34.17 | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | Case 1:
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | | (134) all_58_5 = e2 & op(e2, e1) = e2
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | | ALPHA: (134) implies:
% 203.37/34.17 | | | | | | | | | | | | | | | | | (135) all_58_5 = e2
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | | COMBINE_EQS: (3), (135) imply:
% 203.37/34.17 | | | | | | | | | | | | | | | | | (136) e3 = e2
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | | SIMP: (136) implies:
% 203.37/34.17 | | | | | | | | | | | | | | | | | (137) e3 = e2
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (137) imply:
% 203.37/34.17 | | | | | | | | | | | | | | | | | (138) all_58_1 = e2
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11), (14), (18), (21), (22), (23), (32),
% 203.37/34.17 | | | | | | | | | | | | | | | | | (43), (45), (50), (58), (66), (67), (101), (103),
% 203.37/34.17 | | | | | | | | | | | | | | | | | (105), (138) are inconsistent by sub-proof #485.
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | Case 2:
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | | (139) all_58_10 = e2 & op(e2, e0) = e2
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (18), (21), (37), (41), (67), (68),
% 203.37/34.17 | | | | | | | | | | | | | | | | | (101), (105), (106), (111), (125), (126), (127),
% 203.37/34.17 | | | | | | | | | | | | | | | | | (128), (139) are inconsistent by sub-proof #54.
% 203.37/34.17 | | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | | End of split
% 203.37/34.17 | | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | End of split
% 203.37/34.17 | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | Case 2:
% 203.37/34.17 | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | (140) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 203.37/34.17 | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 203.37/34.17 | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 203.37/34.17 | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 203.37/34.17 | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.37/34.17 | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 203.37/34.17 | | | | | | | | | | | | | | | $i(all_56_8)))
% 203.37/34.17 | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | | REF_CLOSE: (18), (66), (68), (122), (140) are inconsistent by
% 203.37/34.17 | | | | | | | | | | | | | | | sub-proof #14.
% 203.37/34.17 | | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | End of split
% 203.37/34.17 | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | Case 2:
% 203.37/34.17 | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | (141) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 203.37/34.17 | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 203.37/34.17 | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 203.37/34.17 | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 203.37/34.17 | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 203.37/34.17 | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 203.37/34.17 | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 203.37/34.17 | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.37/34.17 | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.37/34.17 | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 203.37/34.17 | | | | | | | | | | | | | | $i(all_56_2))))
% 203.37/34.17 | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | | REF_CLOSE: (18), (25), (33), (34), (35), (99), (112), (141)
% 203.37/34.17 | | | | | | | | | | | | | | are inconsistent by sub-proof #19.
% 203.37/34.17 | | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | | End of split
% 203.37/34.17 | | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | | End of split
% 203.37/34.17 | | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | | End of split
% 203.37/34.17 | | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | End of split
% 203.37/34.17 | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | Case 2:
% 203.37/34.17 | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | (142) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 203.37/34.17 | | | | | | | | | | & op(e3, e0) = e3)
% 203.37/34.17 | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | | REF_CLOSE: (17), (18), (21), (23), (43), (50), (58), (142)
% 203.37/34.17 | | | | | | | | | | are inconsistent by sub-proof #107.
% 203.37/34.17 | | | | | | | | | |
% 203.37/34.17 | | | | | | | | | End of split
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | End of split
% 203.37/34.17 | | | | | | | |
% 203.37/34.17 | | | | | | | Case 2:
% 203.37/34.17 | | | | | | | |
% 203.37/34.17 | | | | | | | | (143) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 &
% 203.37/34.17 | | | | | | | | op(e0, e3) = e0)
% 203.37/34.17 | | | | | | | |
% 203.37/34.17 | | | | | | | | BETA: splitting (143) gives:
% 203.37/34.17 | | | | | | | |
% 203.37/34.17 | | | | | | | | Case 1:
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | | (144) all_58_6 = e0 & op(e1, e3) = e0
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | | ALPHA: (144) implies:
% 203.37/34.17 | | | | | | | | | (145) all_58_6 = e0
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | | REF_CLOSE: (93), (101), (145) are inconsistent by sub-proof
% 203.37/34.17 | | | | | | | | | #1533.
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | Case 2:
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | | (146) all_58_12 = e0 & op(e0, e3) = e0
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | | ALPHA: (146) implies:
% 203.37/34.17 | | | | | | | | | (147) op(e0, e3) = e0
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | | REF_CLOSE: (18), (34), (99), (147) are inconsistent by
% 203.37/34.17 | | | | | | | | | sub-proof #290.
% 203.37/34.17 | | | | | | | | |
% 203.37/34.17 | | | | | | | | End of split
% 203.37/34.17 | | | | | | | |
% 203.37/34.17 | | | | | | | End of split
% 203.37/34.17 | | | | | | |
% 203.37/34.17 | | | | | | End of split
% 203.37/34.17 | | | | | |
% 203.37/34.17 | | | | | Case 2:
% 203.37/34.17 | | | | | |
% 203.37/34.17 | | | | | | (148) all_58_12 = e3 & op(e0, e3) = e3
% 203.37/34.17 | | | | | |
% 203.37/34.17 | | | | | | ALPHA: (148) implies:
% 203.37/34.17 | | | | | | (149) op(e0, e3) = e3
% 203.37/34.17 | | | | | |
% 203.37/34.17 | | | | | | REF_CLOSE: (6), (18), (34), (149) are inconsistent by sub-proof
% 203.37/34.17 | | | | | | #1070.
% 203.37/34.17 | | | | | |
% 203.37/34.17 | | | | | End of split
% 203.37/34.17 | | | | |
% 203.37/34.17 | | | | End of split
% 203.37/34.17 | | | |
% 203.37/34.17 | | | End of split
% 203.37/34.17 | | |
% 203.37/34.17 | | End of split
% 203.37/34.17 | |
% 203.37/34.17 | Case 2:
% 203.37/34.17 | |
% 203.37/34.17 | | (150) all_54_14 = e1 | all_54_14 = e0
% 203.37/34.17 | |
% 203.37/34.17 | | REF_CLOSE: (30), (31), (49), (150) are inconsistent by sub-proof #232.
% 203.37/34.17 | |
% 203.37/34.17 | End of split
% 203.37/34.17 |
% 203.37/34.17 End of proof
% 203.37/34.17
% 203.37/34.17 Sub-proof #14 shows that the following formulas are inconsistent:
% 203.37/34.17 ----------------------------------------------------------------
% 203.37/34.17 (1) ~ (e3 = e2)
% 203.37/34.17 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.17 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.17 (3) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 203.37/34.17 $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.37/34.17 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~ (all_56_15
% 203.37/34.17 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0 = e1) &
% 203.37/34.17 op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 203.37/34.17 (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) & (all_56_4
% 203.37/34.17 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 & $i(all_56_3))) &
% 203.37/34.17 (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 203.37/34.17 $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 = e1) & op(e0, e3) =
% 203.37/34.17 all_56_9 & $i(all_56_9))) & (all_56_11 = e2 | ( ~ (all_56_10 = e1) &
% 203.37/34.17 op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 203.37/34.17 (all_56_6 = e1) & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_14
% 203.37/34.17 = e2 | ( ~ (all_56_7 = e1) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.37/34.17 (all_56_14 = e0 | ( ~ (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 203.37/34.17 $i(all_56_8)))
% 203.37/34.17 (4) op(e0, e3) = e1
% 203.37/34.17 (5) op(e0, e1) = e2
% 203.37/34.17
% 203.37/34.17 Begin of proof
% 203.37/34.17 |
% 203.37/34.17 | ALPHA: (3) implies:
% 203.37/34.17 | (6) op(e0, e1) = all_56_11
% 203.37/34.17 | (7) all_56_11 = e2 | ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 203.37/34.17 | $i(all_56_10))
% 203.37/34.17 | (8) all_56_11 = e3 | ( ~ (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 203.37/34.17 | $i(all_56_9))
% 203.37/34.17 |
% 203.37/34.17 | BETA: splitting (8) gives:
% 203.37/34.17 |
% 203.37/34.17 | Case 1:
% 203.37/34.17 | |
% 203.37/34.17 | | (9) all_56_11 = e3
% 203.37/34.17 | |
% 203.37/34.17 | | REDUCE: (6), (9) imply:
% 203.37/34.17 | | (10) op(e0, e1) = e3
% 203.37/34.17 | |
% 203.37/34.17 | | BETA: splitting (7) gives:
% 203.37/34.17 | |
% 203.37/34.17 | | Case 1:
% 203.37/34.17 | | |
% 203.37/34.17 | | | (11) all_56_11 = e2
% 203.37/34.17 | | |
% 203.37/34.17 | | | REF_CLOSE: (1), (2), (6), (8), (10), (11) are inconsistent by sub-proof
% 203.37/34.17 | | | #632.
% 203.37/34.17 | | |
% 203.37/34.17 | | Case 2:
% 203.37/34.17 | | |
% 203.37/34.17 | | | (12) ~ (all_56_11 = e2)
% 203.37/34.17 | | |
% 203.37/34.17 | | | REF_CLOSE: (2), (5), (6), (12) are inconsistent by sub-proof #454.
% 203.37/34.17 | | |
% 203.37/34.17 | | End of split
% 203.37/34.17 | |
% 203.37/34.17 | Case 2:
% 203.37/34.17 | |
% 203.37/34.17 | | (13) ~ (all_56_9 = e1) & op(e0, e3) = all_56_9 & $i(all_56_9)
% 203.37/34.17 | |
% 203.37/34.17 | | ALPHA: (13) implies:
% 203.37/34.17 | | (14) ~ (all_56_9 = e1)
% 203.37/34.17 | | (15) op(e0, e3) = all_56_9
% 203.37/34.17 | |
% 203.37/34.17 | | REF_CLOSE: (2), (4), (14), (15) are inconsistent by sub-proof #482.
% 203.37/34.17 | |
% 203.37/34.17 | End of split
% 203.37/34.17 |
% 203.37/34.17 End of proof
% 203.37/34.17
% 203.37/34.17 Sub-proof #15 shows that the following formulas are inconsistent:
% 203.37/34.17 ----------------------------------------------------------------
% 203.37/34.17 (1) ~ (all_52_14 = e3)
% 203.37/34.17 (2) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.37/34.17 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.17 (3) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.37/34.17 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.37/34.17 (4) ~ (e3 = e0)
% 203.37/34.17 (5) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.37/34.17 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.37/34.17 (6) op(e2, e2) = all_6_2
% 203.37/34.17 (7) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.37/34.17 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.37/34.17 (8) op(e1, e2) = all_52_6
% 203.37/34.17 (9) op(e2, e3) = all_52_1
% 203.37/34.17 (10) op(e3, e3) = e2
% 203.37/34.17 (11) op(e0, e2) = all_52_7
% 203.37/34.17 (12) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.37/34.17 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.37/34.17 (13) ~ (e3 = e2)
% 203.37/34.17 (14) all_58_4 = e1
% 203.37/34.17 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.17 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.17 (16) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.17 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.37/34.17 (17) ~ (e3 = e1)
% 203.37/34.17 (18) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.37/34.17 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.37/34.17 (19) ~ (all_52_12 = e3)
% 203.37/34.17 (20) ~ (all_52_6 = e0)
% 203.37/34.17 (21) op(e1, e0) = all_52_14
% 203.37/34.17 (22) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.17 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.37/34.17 (23) ~ (all_52_13 = e1)
% 203.37/34.17 (24) ~ (all_14_2 = e3)
% 203.37/34.17 (25) ~ (all_52_3 = e0)
% 203.37/34.17 (26) op(e0, e3) = all_52_3
% 203.37/34.17 (27) op(e2, e0) = all_52_13
% 203.37/34.17 (28) ~ (all_52_1 = e1)
% 203.37/34.17 (29) all_58_3 = e1
% 203.37/34.17 (30) ~ (e1 = e0)
% 203.37/34.17 (31) all_58_8 = e0
% 203.37/34.17 (32) ~ (all_52_9 = e1)
% 203.37/34.17 (33) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.17 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.17 (34) ~ (e2 = e1)
% 203.37/34.17 (35) op(e3, e0) = all_10_1
% 203.37/34.17 (36) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.37/34.17 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.37/34.17 (37) op(e3, e3) = all_14_2
% 203.37/34.17 (38) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.37/34.17 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.37/34.17 (39) op(e2, e2) = e1
% 203.37/34.17 (40) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.37/34.17 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.37/34.17 (41) op(e3, e0) = all_52_12
% 203.37/34.17 (42) ~ (e2 = e0)
% 203.37/34.17 (43) ~ (all_52_7 = e3)
% 203.37/34.17 (44) op(e2, e1) = all_52_9
% 203.37/34.17 (45) all_58_2 = e3
% 203.37/34.17 (46) ~ (all_6_2 = e2)
% 203.37/34.17 (47) op(e3, e0) = all_24_1
% 203.37/34.17 (48) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.37/34.17 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.37/34.17
% 203.37/34.17 Begin of proof
% 203.37/34.17 |
% 203.37/34.17 | BETA: splitting (36) gives:
% 203.37/34.17 |
% 203.37/34.17 | Case 1:
% 203.37/34.17 | |
% 203.37/34.17 | | (49) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) =
% 203.37/34.17 | | e0)
% 203.37/34.17 | |
% 203.37/34.17 | | REF_CLOSE: (4), (10), (15), (42), (45), (49) are inconsistent by sub-proof
% 203.37/34.17 | | #1266.
% 203.37/34.17 | |
% 203.37/34.17 | Case 2:
% 203.37/34.17 | |
% 203.37/34.17 | | (50) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) =
% 203.37/34.17 | | e0)
% 203.37/34.17 | |
% 203.37/34.17 | | BETA: splitting (50) gives:
% 203.37/34.17 | |
% 203.37/34.17 | | Case 1:
% 203.37/34.17 | | |
% 203.37/34.17 | | | (51) all_58_6 = e0 & op(e1, e3) = e0
% 203.37/34.17 | | |
% 203.37/34.17 | | | ALPHA: (51) implies:
% 203.37/34.17 | | | (52) all_58_6 = e0
% 203.37/34.17 | | |
% 203.37/34.18 | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 203.37/34.18 | | | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 203.37/34.18 | | | (23), (24), (27), (28), (29), (30), (31), (32), (33), (34),
% 203.37/34.18 | | | (35), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 203.37/34.18 | | | (45), (46), (47), (48), (52) are inconsistent by sub-proof #16.
% 203.37/34.18 | | |
% 203.37/34.18 | | Case 2:
% 203.37/34.18 | | |
% 203.37/34.18 | | | (53) all_58_12 = e0 & op(e0, e3) = e0
% 203.37/34.18 | | |
% 203.37/34.18 | | | ALPHA: (53) implies:
% 203.37/34.18 | | | (54) op(e0, e3) = e0
% 203.37/34.18 | | |
% 203.37/34.18 | | | REF_CLOSE: (15), (25), (26), (54) are inconsistent by sub-proof #290.
% 203.37/34.18 | | |
% 203.37/34.18 | | End of split
% 203.37/34.18 | |
% 203.37/34.18 | End of split
% 203.37/34.18 |
% 203.37/34.18 End of proof
% 203.37/34.18
% 203.37/34.18 Sub-proof #16 shows that the following formulas are inconsistent:
% 203.37/34.18 ----------------------------------------------------------------
% 203.37/34.18 (1) ~ (all_52_14 = e3)
% 203.37/34.18 (2) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.37/34.18 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.18 (3) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.37/34.18 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.37/34.18 (4) ~ (e3 = e0)
% 203.37/34.18 (5) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.37/34.18 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.37/34.18 (6) op(e2, e2) = all_6_2
% 203.37/34.18 (7) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.37/34.18 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.37/34.18 (8) op(e1, e2) = all_52_6
% 203.37/34.18 (9) op(e2, e3) = all_52_1
% 203.37/34.18 (10) op(e3, e3) = e2
% 203.37/34.18 (11) op(e0, e2) = all_52_7
% 203.37/34.18 (12) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.37/34.18 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.37/34.18 (13) ~ (e3 = e2)
% 203.37/34.18 (14) all_58_4 = e1
% 203.37/34.18 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.18 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.18 (16) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.18 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.37/34.18 (17) ~ (e3 = e1)
% 203.37/34.18 (18) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.37/34.18 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.37/34.18 (19) ~ (all_52_12 = e3)
% 203.37/34.18 (20) ~ (all_52_6 = e0)
% 203.37/34.18 (21) op(e1, e0) = all_52_14
% 203.37/34.18 (22) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.18 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.37/34.18 (23) ~ (all_52_13 = e1)
% 203.37/34.18 (24) ~ (all_14_2 = e3)
% 203.37/34.18 (25) op(e2, e0) = all_52_13
% 203.37/34.18 (26) ~ (all_52_1 = e1)
% 203.37/34.18 (27) all_58_3 = e1
% 203.37/34.18 (28) ~ (e1 = e0)
% 203.37/34.18 (29) all_58_8 = e0
% 203.37/34.18 (30) ~ (all_52_9 = e1)
% 203.37/34.18 (31) all_58_6 = e0
% 203.37/34.18 (32) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.18 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.18 (33) ~ (e2 = e1)
% 203.37/34.18 (34) op(e3, e0) = all_10_1
% 203.37/34.18 (35) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.37/34.18 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.37/34.18 (36) op(e3, e3) = all_14_2
% 203.37/34.18 (37) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.37/34.18 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.37/34.18 (38) op(e2, e2) = e1
% 203.37/34.18 (39) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.37/34.18 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.37/34.18 (40) op(e3, e0) = all_52_12
% 203.37/34.18 (41) ~ (e2 = e0)
% 203.37/34.18 (42) ~ (all_52_7 = e3)
% 203.37/34.18 (43) op(e2, e1) = all_52_9
% 203.37/34.18 (44) all_58_2 = e3
% 203.37/34.18 (45) ~ (all_6_2 = e2)
% 203.37/34.18 (46) op(e3, e0) = all_24_1
% 203.37/34.18 (47) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.37/34.18 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.37/34.18
% 203.37/34.18 Begin of proof
% 203.37/34.18 |
% 203.37/34.18 | BETA: splitting (7) gives:
% 203.37/34.18 |
% 203.37/34.18 | Case 1:
% 203.37/34.18 | |
% 203.37/34.18 | | (48) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) =
% 203.37/34.18 | | e3)
% 203.37/34.18 | |
% 203.37/34.18 | | BETA: splitting (48) gives:
% 203.37/34.18 | |
% 203.37/34.18 | | Case 1:
% 203.37/34.18 | | |
% 203.37/34.18 | | | (49) all_58_0 = e3 & op(e3, e3) = e3
% 203.37/34.18 | | |
% 203.37/34.18 | | | REF_CLOSE: (15), (24), (36), (49) are inconsistent by sub-proof #1415.
% 203.37/34.18 | | |
% 203.37/34.18 | | Case 2:
% 203.37/34.18 | | |
% 203.37/34.18 | | | (50) all_58_1 = e3 & op(e3, e2) = e3
% 203.37/34.18 | | |
% 203.37/34.18 | | | ALPHA: (50) implies:
% 203.37/34.18 | | | (51) all_58_1 = e3
% 203.37/34.18 | | |
% 203.37/34.18 | | | BETA: splitting (22) gives:
% 203.37/34.18 | | |
% 203.37/34.18 | | | Case 1:
% 203.37/34.18 | | | |
% 203.37/34.18 | | | | (52) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2)
% 203.37/34.18 | | | | = e0)
% 203.37/34.18 | | | |
% 203.37/34.18 | | | | REF_CLOSE: (4), (9), (15), (23), (25), (26), (28), (30), (32), (43),
% 203.37/34.18 | | | | (51), (52) are inconsistent by sub-proof #39.
% 203.37/34.18 | | | |
% 203.37/34.18 | | | Case 2:
% 203.37/34.18 | | | |
% 203.37/34.18 | | | | (53) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2)
% 203.37/34.18 | | | | = e0)
% 203.37/34.18 | | | |
% 203.37/34.18 | | | | BETA: splitting (53) gives:
% 203.37/34.18 | | | |
% 203.37/34.18 | | | | Case 1:
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | | (54) all_58_7 = e0 & op(e1, e2) = e0
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | | ALPHA: (54) implies:
% 203.37/34.18 | | | | | (55) op(e1, e2) = e0
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | | REF_CLOSE: (8), (15), (20), (55) are inconsistent by sub-proof #274.
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | Case 2:
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | | (56) all_58_13 = e0 & op(e0, e2) = e0
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | | ALPHA: (56) implies:
% 203.37/34.18 | | | | | (57) all_58_13 = e0
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | | BETA: splitting (3) gives:
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | | Case 1:
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | | (58) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2,
% 203.37/34.18 | | | | | | e3) = e1)
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | | REF_CLOSE: (4), (9), (13), (14), (15), (18), (26), (28), (33), (41),
% 203.37/34.18 | | | | | | (47), (51), (58) are inconsistent by sub-proof #17.
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | Case 2:
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | | (59) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0,
% 203.37/34.18 | | | | | | e3) = e1)
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | | BETA: splitting (59) gives:
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | | Case 1:
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | (60) all_58_6 = e1 & op(e1, e3) = e1
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | ALPHA: (60) implies:
% 203.37/34.18 | | | | | | | (61) all_58_6 = e1
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | COMBINE_EQS: (31), (61) imply:
% 203.37/34.18 | | | | | | | (62) e1 = e0
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | COMBINE_EQS: (27), (62) imply:
% 203.37/34.18 | | | | | | | (63) all_58_3 = e0
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | REF_CLOSE: (9), (15), (23), (25), (26), (28), (30), (32), (43),
% 203.37/34.18 | | | | | | | (63) are inconsistent by sub-proof #105.
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | Case 2:
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | (64) all_58_12 = e1 & op(e0, e3) = e1
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | ALPHA: (64) implies:
% 203.37/34.18 | | | | | | | (65) all_58_12 = e1
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | BETA: splitting (2) gives:
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | Case 1:
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | | (66) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 &
% 203.37/34.18 | | | | | | | | op(e2, e2) = e2)
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (10), (13), (15), (17), (18),
% 203.37/34.18 | | | | | | | | (19), (24), (28), (33), (34), (36), (40), (41), (45),
% 203.37/34.18 | | | | | | | | (46), (66) are inconsistent by sub-proof #484.
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | Case 2:
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | | (67) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 &
% 203.37/34.18 | | | | | | | | op(e0, e2) = e2)
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | | BETA: splitting (67) gives:
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | | Case 1:
% 203.37/34.18 | | | | | | | | |
% 203.37/34.18 | | | | | | | | | (68) all_58_7 = e2 & op(e1, e2) = e2
% 203.37/34.18 | | | | | | | | |
% 203.37/34.18 | | | | | | | | | ALPHA: (68) implies:
% 203.37/34.18 | | | | | | | | | (69) all_58_7 = e2
% 203.37/34.18 | | | | | | | | |
% 203.37/34.18 | | | | | | | | | BETA: splitting (37) gives:
% 203.37/34.18 | | | | | | | | |
% 203.37/34.18 | | | | | | | | | Case 1:
% 203.37/34.18 | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | (70) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 &
% 203.37/34.18 | | | | | | | | | | op(e1, e2) = e3)
% 203.37/34.18 | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | BETA: splitting (70) gives:
% 203.37/34.18 | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | Case 1:
% 203.37/34.18 | | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | | (71) all_58_6 = e3 & op(e1, e3) = e3
% 203.37/34.18 | | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | | ALPHA: (71) implies:
% 203.37/34.18 | | | | | | | | | | | (72) all_58_6 = e3
% 203.37/34.18 | | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | | REF_CLOSE: (4), (10), (15), (28), (35), (41), (44), (65),
% 203.37/34.18 | | | | | | | | | | | (72) are inconsistent by sub-proof #1108.
% 203.37/34.18 | | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | Case 2:
% 203.37/34.18 | | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | | (73) all_58_7 = e3 & op(e1, e2) = e3
% 203.37/34.18 | | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | | ALPHA: (73) implies:
% 203.37/34.18 | | | | | | | | | | | (74) all_58_7 = e3
% 203.37/34.18 | | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | | COMBINE_EQS: (69), (74) imply:
% 203.37/34.18 | | | | | | | | | | | (75) e3 = e2
% 203.37/34.18 | | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | | SIMP: (75) implies:
% 203.37/34.18 | | | | | | | | | | | (76) e3 = e2
% 203.37/34.18 | | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | | COMBINE_EQS: (51), (76) imply:
% 203.37/34.18 | | | | | | | | | | | (77) all_58_1 = e2
% 203.37/34.18 | | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (10), (13), (15), (17), (18), (19),
% 203.37/34.18 | | | | | | | | | | | (24), (28), (33), (34), (36), (40), (41), (46),
% 203.37/34.18 | | | | | | | | | | | (77) are inconsistent by sub-proof #485.
% 203.37/34.18 | | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | End of split
% 203.37/34.18 | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | Case 2:
% 203.37/34.18 | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | (78) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3
% 203.37/34.18 | | | | | | | | | | & op(e1, e0) = e3)
% 203.37/34.18 | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | | REF_CLOSE: (1), (4), (11), (12), (13), (15), (16), (17),
% 203.37/34.18 | | | | | | | | | | (21), (28), (29), (33), (37), (38), (39), (41),
% 203.37/34.18 | | | | | | | | | | (42), (51), (69), (78) are inconsistent by
% 203.37/34.18 | | | | | | | | | | sub-proof #31.
% 203.37/34.18 | | | | | | | | | |
% 203.37/34.18 | | | | | | | | | End of split
% 203.37/34.18 | | | | | | | | |
% 203.37/34.18 | | | | | | | | Case 2:
% 203.37/34.18 | | | | | | | | |
% 203.37/34.18 | | | | | | | | | (79) all_58_13 = e2 & op(e0, e2) = e2
% 203.37/34.18 | | | | | | | | |
% 203.37/34.18 | | | | | | | | | REF_CLOSE: (41), (57), (79) are inconsistent by sub-proof
% 203.37/34.18 | | | | | | | | | #1274.
% 203.37/34.18 | | | | | | | | |
% 203.37/34.18 | | | | | | | | End of split
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | End of split
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | End of split
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | End of split
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | End of split
% 203.37/34.18 | | | |
% 203.37/34.18 | | | End of split
% 203.37/34.18 | | |
% 203.37/34.18 | | End of split
% 203.37/34.18 | |
% 203.37/34.18 | Case 2:
% 203.37/34.18 | |
% 203.37/34.18 | | (80) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) =
% 203.37/34.18 | | e3)
% 203.37/34.18 | |
% 203.37/34.18 | | REF_CLOSE: (14), (15), (17), (19), (34), (40), (46), (80) are inconsistent
% 203.37/34.18 | | by sub-proof #107.
% 203.37/34.18 | |
% 203.37/34.18 | End of split
% 203.37/34.18 |
% 203.37/34.18 End of proof
% 203.37/34.18
% 203.37/34.18 Sub-proof #17 shows that the following formulas are inconsistent:
% 203.37/34.18 ----------------------------------------------------------------
% 203.37/34.18 (1) ~ (e3 = e0)
% 203.37/34.18 (2) op(e2, e3) = all_52_1
% 203.37/34.18 (3) ~ (e3 = e2)
% 203.37/34.18 (4) all_58_4 = e1
% 203.37/34.18 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.18 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.18 (6) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.37/34.18 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.37/34.18 (7) ~ (all_52_1 = e1)
% 203.37/34.18 (8) ~ (e1 = e0)
% 203.37/34.18 (9) all_58_1 = e3
% 203.37/34.18 (10) ~ (e2 = e1)
% 203.37/34.18 (11) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1)
% 203.37/34.18 (12) ~ (e2 = e0)
% 203.37/34.18 (13) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.37/34.18 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.37/34.18
% 203.37/34.18 Begin of proof
% 203.37/34.18 |
% 203.37/34.18 | BETA: splitting (11) gives:
% 203.37/34.18 |
% 203.37/34.18 | Case 1:
% 203.37/34.18 | |
% 203.37/34.18 | | (14) all_58_0 = e1 & op(e3, e3) = e1
% 203.37/34.18 | |
% 203.37/34.18 | | ALPHA: (14) implies:
% 203.37/34.18 | | (15) op(e3, e3) = e1
% 203.37/34.18 | |
% 203.37/34.18 | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (12), (13), (15) are
% 203.37/34.18 | | inconsistent by sub-proof #288.
% 203.37/34.18 | |
% 203.37/34.18 | Case 2:
% 203.37/34.18 | |
% 203.37/34.18 | | (16) all_58_2 = e1 & op(e2, e3) = e1
% 203.37/34.18 | |
% 203.37/34.18 | | ALPHA: (16) implies:
% 203.37/34.18 | | (17) op(e2, e3) = e1
% 203.37/34.18 | |
% 203.37/34.18 | | REF_CLOSE: (2), (5), (7), (17) are inconsistent by sub-proof #470.
% 203.37/34.18 | |
% 203.37/34.18 | End of split
% 203.37/34.18 |
% 203.37/34.18 End of proof
% 203.37/34.18
% 203.37/34.18 Sub-proof #18 shows that the following formulas are inconsistent:
% 203.37/34.18 ----------------------------------------------------------------
% 203.37/34.18 (1) all_58_7 = e3
% 203.37/34.18 (2) ~ (all_6_1 = e3)
% 203.37/34.18 (3) ~ (all_52_3 = e3)
% 203.37/34.18 (4) ~ (e3 = e0)
% 203.37/34.18 (5) op(e0, e0) = all_10_2
% 203.37/34.18 (6) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.37/34.18 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.37/34.18 (7) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2 & op(e1, e2) = e2) |
% 203.37/34.18 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 = e2 & op(e1, e0) = e2)
% 203.37/34.18 (8) all_58_15 = e3
% 203.37/34.18 (9) op(e2, e3) = all_52_1
% 203.37/34.18 (10) ~ (e3 = e2)
% 203.37/34.18 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.18 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.18 (12) ~ (e3 = e1)
% 203.37/34.18 (13) ~ (all_6_1 = e0)
% 203.37/34.18 (14) ~ (all_52_6 = e0)
% 203.37/34.18 (15) ~ (all_10_2 = e0)
% 203.37/34.18 (16) ~ (all_52_7 = all_6_1)
% 203.37/34.18 (17) ~ (all_52_13 = e1)
% 203.37/34.18 (18) all_58_11 = e1
% 203.37/34.18 (19) op(e3, e3) = e1
% 203.37/34.18 (20) op(e0, e3) = all_52_3
% 203.37/34.18 (21) op(e2, e0) = all_52_13
% 203.37/34.18 (22) all_54_9 = all_52_6
% 203.37/34.18 (23) ~ (all_52_1 = e1)
% 203.37/34.18 (24) all_58_3 = e1
% 203.37/34.18 (25) ~ (e1 = e0)
% 203.37/34.18 (26) all_58_8 = e0
% 203.37/34.18 (27) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 203.37/34.18 (28) ~ (all_52_9 = e1)
% 203.37/34.18 (29) ~ (all_52_3 = all_52_7)
% 203.37/34.18 (30) (all_58_15 = e0 & op(e0, e0) = e0) | (((all_58_9 = e0 & op(e3, e0) = e0)
% 203.37/34.18 | (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1, e0)
% 203.37/34.18 = e0)) & ((all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 &
% 203.37/34.18 op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1) = e0)))
% 203.37/34.18 (31) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.18 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.18 (32) all_54_9 = all_6_1
% 203.37/34.18 (33) ~ (e2 = e1)
% 203.37/34.18 (34) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.37/34.18 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.37/34.18 (35) all_58_14 = e1
% 203.37/34.18 (36) ~ (all_6_1 = e1)
% 203.37/34.18 (37) ~ (e2 = e0)
% 203.37/34.18 (38) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.18 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.37/34.18 e2)
% 203.37/34.18 (39) ~ (all_52_7 = e3)
% 203.37/34.18 (40) op(e2, e1) = all_52_9
% 203.37/34.18 (41) ~ (all_52_6 = e1)
% 203.37/34.18 (42) all_54_13 = all_52_7
% 203.37/34.18 (43) ~ (all_52_7 = e1)
% 203.37/34.18 (44) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 203.37/34.18
% 203.37/34.18 Begin of proof
% 203.37/34.18 |
% 203.37/34.18 | BETA: splitting (7) gives:
% 203.37/34.18 |
% 203.37/34.18 | Case 1:
% 203.37/34.18 | |
% 203.37/34.18 | | (45) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2 & op(e1, e2) =
% 203.37/34.18 | | e2)
% 203.37/34.18 | |
% 203.37/34.18 | | BETA: splitting (45) gives:
% 203.37/34.18 | |
% 203.37/34.18 | | Case 1:
% 203.37/34.18 | | |
% 203.37/34.18 | | | (46) all_58_6 = e2 & op(e1, e3) = e2
% 203.37/34.18 | | |
% 203.37/34.18 | | | ALPHA: (46) implies:
% 203.37/34.18 | | | (47) all_58_6 = e2
% 203.37/34.18 | | |
% 203.37/34.18 | | | BETA: splitting (27) gives:
% 203.37/34.18 | | |
% 203.37/34.18 | | | Case 1:
% 203.37/34.18 | | | |
% 203.37/34.18 | | | | (48) all_54_9 = e2
% 203.37/34.18 | | | |
% 203.37/34.18 | | | | COMBINE_EQS: (32), (48) imply:
% 203.37/34.18 | | | | (49) all_6_1 = e2
% 203.37/34.18 | | | |
% 203.37/34.18 | | | | REDUCE: (16), (49) imply:
% 203.37/34.18 | | | | (50) ~ (all_52_7 = e2)
% 203.37/34.18 | | | |
% 203.37/34.18 | | | | REDUCE: (2), (49) imply:
% 203.37/34.18 | | | | (51) ~ (e3 = e2)
% 203.37/34.18 | | | |
% 203.37/34.18 | | | | BETA: splitting (44) gives:
% 203.37/34.18 | | | |
% 203.37/34.18 | | | | Case 1:
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | | (52) all_54_13 = e3
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | | REF_CLOSE: (39), (42), (52) are inconsistent by sub-proof #1294.
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | Case 2:
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | | (53) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | | BETA: splitting (30) gives:
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | | Case 1:
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | | (54) all_58_15 = e0 & op(e0, e0) = e0
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | | REF_CLOSE: (5), (11), (15), (54) are inconsistent by sub-proof
% 203.37/34.18 | | | | | | #1924.
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | Case 2:
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | | (55) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 = e0 &
% 203.37/34.18 | | | | | | op(e2, e0) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)) &
% 203.37/34.18 | | | | | | ((all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 &
% 203.37/34.18 | | | | | | op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | | ALPHA: (55) implies:
% 203.37/34.18 | | | | | | (56) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 &
% 203.37/34.18 | | | | | | op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1) = e0)
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | | BETA: splitting (56) gives:
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | | Case 1:
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | (57) all_58_12 = e0 & op(e0, e3) = e0
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | ALPHA: (57) implies:
% 203.37/34.18 | | | | | | | (58) op(e0, e3) = e0
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | REF_CLOSE: (11), (20), (29), (42), (43), (50), (53), (58) are
% 203.37/34.18 | | | | | | | inconsistent by sub-proof #199.
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | Case 2:
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | (59) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 = e0 &
% 203.37/34.18 | | | | | | | op(e0, e1) = e0)
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | BETA: splitting (59) gives:
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | | Case 1:
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | | (60) all_58_13 = e0 & op(e0, e2) = e0
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | | ALPHA: (60) implies:
% 203.37/34.18 | | | | | | | | (61) all_58_13 = e0
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | | REF_CLOSE: (3), (4), (6), (8), (10), (11), (12), (19), (20),
% 203.37/34.18 | | | | | | | | (25), (33), (34), (35), (37), (38), (47), (61) are
% 203.37/34.18 | | | | | | | | inconsistent by sub-proof #112.
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | Case 2:
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | | (62) all_58_14 = e0 & op(e0, e1) = e0
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | | ALPHA: (62) implies:
% 203.37/34.18 | | | | | | | | (63) all_58_14 = e0
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | | REF_CLOSE: (9), (11), (17), (21), (23), (24), (25), (28), (31),
% 203.37/34.18 | | | | | | | | (35), (40), (63) are inconsistent by sub-proof #50.
% 203.37/34.18 | | | | | | | |
% 203.37/34.18 | | | | | | | End of split
% 203.37/34.18 | | | | | | |
% 203.37/34.18 | | | | | | End of split
% 203.37/34.18 | | | | | |
% 203.37/34.18 | | | | | End of split
% 203.37/34.18 | | | | |
% 203.37/34.18 | | | | End of split
% 203.37/34.18 | | | |
% 203.37/34.18 | | | Case 2:
% 203.37/34.18 | | | |
% 203.37/34.18 | | | | (64) all_54_9 = e1 | all_54_9 = e0
% 203.37/34.18 | | | |
% 203.37/34.18 | | | | REF_CLOSE: (14), (22), (41), (64) are inconsistent by sub-proof #1242.
% 203.37/34.18 | | | |
% 203.37/34.18 | | | End of split
% 203.37/34.18 | | |
% 203.37/34.18 | | Case 2:
% 203.37/34.18 | | |
% 203.37/34.18 | | | (65) all_58_7 = e2 & op(e1, e2) = e2
% 203.37/34.18 | | |
% 203.37/34.18 | | | ALPHA: (65) implies:
% 203.37/34.18 | | | (66) all_58_7 = e2
% 203.37/34.18 | | |
% 203.37/34.18 | | | REF_CLOSE: (1), (10), (66) are inconsistent by sub-proof #1627.
% 203.37/34.18 | | |
% 203.37/34.18 | | End of split
% 203.37/34.18 | |
% 203.37/34.18 | Case 2:
% 203.37/34.18 | |
% 203.37/34.18 | | (67) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 = e2 & op(e1, e0) =
% 203.37/34.18 | | e2)
% 203.37/34.18 | |
% 203.37/34.18 | | REF_CLOSE: (18), (26), (33), (37), (67) are inconsistent by sub-proof #52.
% 203.37/34.18 | |
% 203.37/34.18 | End of split
% 203.37/34.18 |
% 203.37/34.18 End of proof
% 203.37/34.18
% 203.37/34.18 Sub-proof #19 shows that the following formulas are inconsistent:
% 203.37/34.18 ----------------------------------------------------------------
% 203.37/34.18 (1) op(e2, e3) = e0
% 203.37/34.18 (2) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 203.37/34.18 $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.37/34.18 all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.37/34.18 (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0 =
% 203.37/34.18 e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 | (
% 203.37/34.18 ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.37/34.18 (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.37/34.18 $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1)
% 203.37/34.18 = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0)
% 203.37/34.18 & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.37/34.18 (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.37/34.18 (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.37/34.18 $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0,
% 203.37/34.18 e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.37/34.18 (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.37/34.18 (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.37/34.18 $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.37/34.18 all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.37/34.18 (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~ (all_56_4 =
% 203.37/34.18 e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 | (
% 203.37/34.18 ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 203.37/34.18 (all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.37/34.18 $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0)
% 203.37/34.18 = all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 = e3)
% 203.37/34.18 & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 203.37/34.18 (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.37/34.18 (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.37/34.18 $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3, e1)
% 203.37/34.18 = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~ (all_56_2 = e3)
% 203.37/34.18 & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.37/34.18 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.18 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.18 (4) ~ (all_52_13 = e3)
% 203.37/34.18 (5) ~ (all_52_3 = e0)
% 203.37/34.18 (6) all_56_15 = e3
% 203.37/34.18 (7) op(e0, e3) = all_52_3
% 203.37/34.18 (8) op(e2, e0) = all_52_13
% 203.37/34.18
% 203.37/34.18 Begin of proof
% 203.37/34.18 |
% 203.37/34.18 | BETA: splitting (2) gives:
% 203.37/34.18 |
% 203.37/34.18 | Case 1:
% 203.37/34.18 | |
% 203.37/34.19 | | (9) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8
% 203.37/34.19 | | & $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.37/34.19 | | all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.37/34.19 | | (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0
% 203.37/34.19 | | = e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1
% 203.37/34.19 | | | ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.37/34.19 | | (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.37/34.19 | | $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2,
% 203.37/34.19 | | e1) = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 203.37/34.19 | | (all_56_6 = e0) & op(e1, e3) = all_56_6 & $i(all_56_6))) &
% 203.37/34.19 | | (all_56_8 = e2 | ( ~ (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 203.37/34.19 | | $i(all_56_7))) & (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0,
% 203.37/34.19 | | e3) = all_56_9 & $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 203.37/34.19 | | (all_56_10 = e0) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 203.37/34.19 | | (all_56_15 = e1 | ( ~ (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 203.37/34.19 | | $i(all_56_11)))
% 203.37/34.19 | |
% 203.37/34.19 | | ALPHA: (9) implies:
% 203.37/34.19 | | (10) op(e2, e0) = all_56_5
% 203.37/34.19 | | (11) all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.37/34.19 | | $i(all_56_3))
% 203.37/34.19 | |
% 203.37/34.19 | | REF_CLOSE: (1), (3), (4), (8), (10), (11) are inconsistent by sub-proof
% 203.37/34.19 | | #142.
% 203.37/34.19 | |
% 203.37/34.19 | Case 2:
% 203.37/34.19 | |
% 203.37/34.19 | | (12) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) =
% 203.37/34.19 | | all_56_9 & $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 203.37/34.19 | | (all_56_13 = e3) | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 203.37/34.19 | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 203.37/34.19 | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) = all_56_4 &
% 203.37/34.19 | | $i(all_56_4))) & (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2,
% 203.37/34.19 | | e0) = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 203.37/34.19 | | (all_56_7 = e3) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.37/34.19 | | (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 203.37/34.19 | | $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 = e3) & op(e0,
% 203.37/34.19 | | e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 203.37/34.19 | | (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.37/34.19 | | (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.37/34.19 | | $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 203.37/34.19 | | e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.37/34.19 | | (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2)))
% 203.37/34.19 | |
% 203.37/34.19 | | ALPHA: (12) implies:
% 203.37/34.19 | | (13) op(e0, e3) = all_56_9
% 203.37/34.19 | | (14) ~ (all_56_15 = e3) | all_56_9 = e0
% 203.37/34.19 | |
% 203.37/34.19 | | REF_CLOSE: (3), (5), (6), (7), (13), (14) are inconsistent by sub-proof
% 203.37/34.19 | | #289.
% 203.37/34.19 | |
% 203.37/34.19 | End of split
% 203.37/34.19 |
% 203.37/34.19 End of proof
% 203.37/34.19
% 203.37/34.19 Sub-proof #20 shows that the following formulas are inconsistent:
% 203.37/34.19 ----------------------------------------------------------------
% 203.37/34.19 (1) ~ (all_52_3 = e3)
% 203.37/34.19 (2) ~ (e3 = e0)
% 203.37/34.19 (3) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.37/34.19 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.37/34.19 (4) all_58_15 = e3
% 203.37/34.19 (5) all_58_6 = e3
% 203.37/34.19 (6) ~ (e3 = e2)
% 203.37/34.19 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.19 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.19 (8) ~ (e3 = e1)
% 203.37/34.19 (9) all_58_13 = e0
% 203.37/34.19 (10) all_58_15 = e2 & op(e0, e0) = e2
% 203.37/34.19 (11) op(e3, e3) = e1
% 203.37/34.19 (12) op(e0, e3) = all_52_3
% 203.37/34.19 (13) ~ (e1 = e0)
% 203.37/34.19 (14) ~ (e2 = e1)
% 203.37/34.19 (15) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.37/34.19 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.37/34.19 (16) all_58_14 = e1
% 203.37/34.19 (17) ~ (e2 = e0)
% 203.37/34.19 (18) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.19 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.37/34.19 e2)
% 203.37/34.19
% 203.37/34.19 Begin of proof
% 203.37/34.19 |
% 203.37/34.19 | ALPHA: (10) implies:
% 203.37/34.19 | (19) all_58_15 = e2
% 203.37/34.19 |
% 203.37/34.19 | COMBINE_EQS: (4), (19) imply:
% 203.37/34.19 | (20) e3 = e2
% 203.37/34.19 |
% 203.37/34.19 | COMBINE_EQS: (5), (20) imply:
% 203.37/34.19 | (21) all_58_6 = e2
% 203.37/34.19 |
% 203.37/34.19 | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (12), (13), (14),
% 203.37/34.19 | (15), (16), (17), (18), (21) are inconsistent by sub-proof #112.
% 203.37/34.19 |
% 203.37/34.19 End of proof
% 203.37/34.19
% 203.37/34.19 Sub-proof #21 shows that the following formulas are inconsistent:
% 203.37/34.19 ----------------------------------------------------------------
% 203.37/34.19 (1) all_58_9 = e1
% 203.37/34.19 (2) ~ (e3 = e0)
% 203.37/34.19 (3) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.37/34.19 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.37/34.19 (4) op(e2, e3) = all_52_1
% 203.37/34.19 (5) ~ (e3 = e2)
% 203.37/34.19 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.19 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.19 (7) ~ (all_52_8 = e0)
% 203.37/34.19 (8) ~ (e3 = e1)
% 203.37/34.19 (9) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.37/34.19 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.37/34.19 (10) ~ (all_52_12 = e3)
% 203.37/34.19 (11) ~ (all_52_13 = e1)
% 203.37/34.19 (12) op(e3, e1) = all_52_8
% 203.37/34.19 (13) op(e3, e3) = e1
% 203.37/34.19 (14) op(e2, e0) = all_52_13
% 203.37/34.19 (15) ~ (all_52_1 = e1)
% 203.37/34.19 (16) all_58_3 = e1
% 203.37/34.19 (17) ~ (e1 = e0)
% 203.37/34.19 (18) ~ (all_52_9 = e1)
% 203.37/34.19 (19) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.19 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.19 (20) ~ (e2 = e1)
% 203.37/34.19 (21) op(e3, e0) = all_10_1
% 203.37/34.19 (22) op(e3, e0) = all_52_12
% 203.37/34.19 (23) ~ (e2 = e0)
% 203.37/34.19 (24) op(e2, e1) = all_52_9
% 203.37/34.19 (25) op(e3, e0) = all_24_1
% 203.37/34.19 (26) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.37/34.19 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.37/34.19
% 203.37/34.19 Begin of proof
% 203.37/34.19 |
% 203.37/34.19 | BETA: splitting (9) gives:
% 203.37/34.19 |
% 203.37/34.19 | Case 1:
% 203.37/34.19 | |
% 203.37/34.19 | | (27) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) =
% 203.37/34.19 | | e0)
% 203.37/34.19 | |
% 203.37/34.19 | | BETA: splitting (27) gives:
% 203.37/34.19 | |
% 203.37/34.19 | | Case 1:
% 203.37/34.19 | | |
% 203.37/34.19 | | | (28) all_58_0 = e0 & op(e3, e3) = e0
% 203.37/34.19 | | |
% 203.37/34.19 | | | ALPHA: (28) implies:
% 203.37/34.19 | | | (29) op(e3, e3) = e0
% 203.37/34.19 | | |
% 203.37/34.19 | | | REF_CLOSE: (6), (13), (17), (29) are inconsistent by sub-proof #1922.
% 203.37/34.19 | | |
% 203.37/34.19 | | Case 2:
% 203.37/34.19 | | |
% 203.37/34.19 | | | (30) all_58_1 = e0 & op(e3, e2) = e0
% 203.37/34.19 | | |
% 203.37/34.19 | | | ALPHA: (30) implies:
% 203.37/34.19 | | | (31) all_58_1 = e0
% 203.37/34.19 | | |
% 203.37/34.19 | | | BETA: splitting (26) gives:
% 203.37/34.19 | | |
% 203.37/34.19 | | | Case 1:
% 203.37/34.19 | | | |
% 203.37/34.19 | | | | (32) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2)
% 203.37/34.19 | | | | = e2)
% 203.37/34.19 | | | |
% 203.37/34.19 | | | | REF_CLOSE: (6), (13), (20), (23), (31), (32) are inconsistent by
% 203.37/34.19 | | | | sub-proof #495.
% 203.37/34.19 | | | |
% 203.37/34.19 | | | Case 2:
% 203.37/34.19 | | | |
% 203.37/34.19 | | | | (33) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0)
% 203.37/34.19 | | | | = e2)
% 203.37/34.19 | | | |
% 203.37/34.19 | | | | BETA: splitting (33) gives:
% 203.37/34.19 | | | |
% 203.37/34.19 | | | | Case 1:
% 203.37/34.19 | | | | |
% 203.37/34.19 | | | | | (34) all_58_4 = e2 & op(e3, e1) = e2
% 203.37/34.19 | | | | |
% 203.37/34.19 | | | | | ALPHA: (34) implies:
% 203.37/34.19 | | | | | (35) all_58_4 = e2
% 203.37/34.19 | | | | |
% 203.37/34.19 | | | | | REF_CLOSE: (2), (3), (5), (6), (8), (10), (13), (21), (22), (25),
% 203.37/34.19 | | | | | (31), (35) are inconsistent by sub-proof #131.
% 203.37/34.19 | | | | |
% 203.37/34.19 | | | | Case 2:
% 203.37/34.19 | | | | |
% 203.37/34.19 | | | | | (36) all_58_9 = e2 & op(e3, e0) = e2
% 203.37/34.19 | | | | |
% 203.37/34.19 | | | | | REF_CLOSE: (1), (20), (36) are inconsistent by sub-proof #1059.
% 203.37/34.19 | | | | |
% 203.37/34.19 | | | | End of split
% 203.37/34.19 | | | |
% 203.37/34.19 | | | End of split
% 203.37/34.19 | | |
% 203.37/34.19 | | End of split
% 203.37/34.19 | |
% 203.37/34.19 | Case 2:
% 203.37/34.19 | |
% 203.37/34.19 | | (37) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) =
% 203.37/34.19 | | e0)
% 203.37/34.19 | |
% 203.37/34.19 | | BETA: splitting (37) gives:
% 203.37/34.19 | |
% 203.37/34.19 | | Case 1:
% 203.37/34.19 | | |
% 203.37/34.19 | | | (38) all_58_4 = e0 & op(e3, e1) = e0
% 203.37/34.19 | | |
% 203.37/34.19 | | | REF_CLOSE: (6), (7), (12), (38) are inconsistent by sub-proof #700.
% 203.37/34.19 | | |
% 203.37/34.19 | | Case 2:
% 203.37/34.19 | | |
% 203.37/34.19 | | | (39) all_58_9 = e0 & op(e3, e0) = e0
% 203.37/34.19 | | |
% 203.37/34.19 | | | ALPHA: (39) implies:
% 203.37/34.19 | | | (40) all_58_9 = e0
% 203.37/34.19 | | |
% 203.37/34.19 | | | COMBINE_EQS: (1), (40) imply:
% 203.37/34.19 | | | (41) e1 = e0
% 203.37/34.19 | | |
% 203.37/34.19 | | | REF_CLOSE: (4), (6), (11), (14), (15), (16), (17), (18), (19), (24), (41)
% 203.37/34.19 | | | are inconsistent by sub-proof #92.
% 203.37/34.19 | | |
% 203.37/34.19 | | End of split
% 203.37/34.19 | |
% 203.37/34.19 | End of split
% 203.37/34.19 |
% 203.37/34.19 End of proof
% 203.37/34.19
% 203.37/34.19 Sub-proof #22 shows that the following formulas are inconsistent:
% 203.37/34.19 ----------------------------------------------------------------
% 203.37/34.19 (1) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.19 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.37/34.19 (2) ~ (all_52_14 = e3)
% 203.37/34.19 (3) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.37/34.19 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.19 (4) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.37/34.19 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.37/34.19 (5) ~ (e3 = e0)
% 203.37/34.19 (6) op(e2, e2) = all_6_2
% 203.37/34.19 (7) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.37/34.19 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.37/34.19 (8) op(e1, e2) = all_52_6
% 203.37/34.19 (9) op(e2, e3) = all_52_1
% 203.37/34.19 (10) op(e0, e2) = all_52_7
% 203.37/34.19 (11) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.37/34.19 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.37/34.19 (12) ~ (e3 = e2)
% 203.37/34.19 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.19 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.19 (14) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.19 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.37/34.19 (15) ~ (e3 = e1)
% 203.37/34.19 (16) ~ (all_52_12 = e3)
% 203.37/34.19 (17) ~ (all_52_6 = e0)
% 203.37/34.19 (18) ~ (all_52_13 = e3)
% 203.37/34.19 (19) op(e1, e0) = all_52_14
% 203.37/34.19 (20) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.19 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.37/34.19 (21) ~ (all_52_13 = e1)
% 203.37/34.19 (22) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.37/34.19 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.37/34.19 (23) ~ (all_14_2 = e3)
% 203.37/34.19 (24) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) = e3)
% 203.37/34.19 (25) op(e2, e0) = all_52_13
% 203.37/34.19 (26) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.37/34.19 | (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 & op(e0, e0) =
% 203.37/34.19 e1)
% 203.37/34.19 (27) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.19 (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) = e3)
% 203.37/34.19 (28) ~ (all_52_1 = e1)
% 203.37/34.19 (29) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.37/34.19 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.37/34.19 (30) all_58_3 = e1
% 203.37/34.19 (31) ~ (e1 = e0)
% 203.37/34.19 (32) all_58_8 = e0
% 203.37/34.19 (33) ~ (all_52_9 = e1)
% 203.37/34.19 (34) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.19 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.19 (35) ~ (e2 = e1)
% 203.37/34.19 (36) op(e3, e0) = all_10_1
% 203.37/34.19 (37) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.37/34.19 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.37/34.19 (38) op(e3, e3) = all_14_2
% 203.37/34.19 (39) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.37/34.19 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.37/34.19 (40) op(e2, e2) = e1
% 203.37/34.19 (41) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.37/34.19 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.37/34.19 (42) op(e0, e0) = e3
% 203.37/34.19 (43) op(e3, e0) = all_52_12
% 203.37/34.19 (44) ~ (e2 = e0)
% 203.37/34.19 (45) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.19 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.37/34.19 e2)
% 203.37/34.19 (46) ~ (all_52_7 = e3)
% 203.37/34.19 (47) op(e2, e1) = all_52_9
% 203.37/34.19 (48) ~ (all_6_2 = e2)
% 203.37/34.19 (49) op(e3, e0) = all_24_1
% 203.37/34.19 (50) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) = e3) |
% 203.37/34.19 (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0, e0) = e3)
% 203.37/34.19
% 203.37/34.19 Begin of proof
% 203.37/34.19 |
% 203.37/34.19 | BETA: splitting (24) gives:
% 203.37/34.19 |
% 203.37/34.19 | Case 1:
% 203.37/34.19 | |
% 203.37/34.19 | | (51) all_58_8 = e3 & op(e1, e1) = e3
% 203.37/34.19 | |
% 203.37/34.19 | | ALPHA: (51) implies:
% 203.37/34.19 | | (52) all_58_8 = e3
% 203.37/34.19 | |
% 203.37/34.19 | | REF_CLOSE: (5), (32), (52) are inconsistent by sub-proof #1630.
% 203.37/34.19 | |
% 203.37/34.19 | Case 2:
% 203.37/34.19 | |
% 203.37/34.19 | | (53) all_58_14 = e3 & op(e0, e1) = e3
% 203.37/34.19 | |
% 203.37/34.19 | | ALPHA: (53) implies:
% 203.37/34.19 | | (54) all_58_14 = e3
% 203.37/34.19 | |
% 203.37/34.19 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 203.37/34.19 | | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 203.37/34.19 | | (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 203.37/34.19 | | (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 203.37/34.19 | | (47), (48), (49), (50), (54) are inconsistent by sub-proof #35.
% 203.37/34.19 | |
% 203.37/34.19 | End of split
% 203.37/34.19 |
% 203.37/34.19 End of proof
% 203.37/34.19
% 203.37/34.19 Sub-proof #23 shows that the following formulas are inconsistent:
% 203.37/34.19 ----------------------------------------------------------------
% 203.37/34.19 (1) ~ (all_52_14 = e3)
% 203.37/34.19 (2) ~ (e3 = e0)
% 203.37/34.19 (3) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.37/34.19 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.37/34.19 (4) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.37/34.19 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.37/34.19 (5) ~ (e3 = e2)
% 203.37/34.19 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.19 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.19 (7) ~ (e3 = e1)
% 203.37/34.19 (8) ~ (all_52_12 = e3)
% 203.37/34.19 (9) op(e1, e0) = all_52_14
% 203.37/34.19 (10) op(e3, e3) = e0
% 203.37/34.19 (11) all_58_4 = e3
% 203.37/34.19 (12) ~ (e1 = e0)
% 203.37/34.19 (13) all_58_8 = e0
% 203.37/34.19 (14) ~ (e2 = e1)
% 203.37/34.19 (15) op(e3, e0) = all_10_1
% 203.37/34.19 (16) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.37/34.19 (17) op(e3, e0) = all_52_12
% 203.37/34.19 (18) ~ (e2 = e0)
% 203.37/34.19 (19) op(e3, e0) = all_24_1
% 203.37/34.19 (20) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.37/34.19 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.37/34.19
% 203.37/34.19 Begin of proof
% 203.37/34.19 |
% 203.37/34.19 | BETA: splitting (16) gives:
% 203.37/34.19 |
% 203.37/34.19 | Case 1:
% 203.37/34.19 | |
% 203.37/34.19 | | (21) all_58_8 = e3 & op(e1, e1) = e3
% 203.37/34.19 | |
% 203.37/34.19 | | ALPHA: (21) implies:
% 203.37/34.19 | | (22) all_58_8 = e3
% 203.37/34.19 | |
% 203.37/34.19 | | COMBINE_EQS: (13), (22) imply:
% 203.37/34.19 | | (23) e3 = e0
% 203.37/34.19 | |
% 203.37/34.19 | | SIMP: (23) implies:
% 203.37/34.19 | | (24) e3 = e0
% 203.37/34.19 | |
% 203.37/34.19 | | COMBINE_EQS: (11), (24) imply:
% 203.37/34.19 | | (25) all_58_4 = e0
% 203.37/34.19 | |
% 203.37/34.19 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (12), (14), (15), (17),
% 203.37/34.19 | | (18), (19), (20), (25) are inconsistent by sub-proof #528.
% 203.37/34.19 | |
% 203.37/34.19 | Case 2:
% 203.37/34.19 | |
% 203.37/34.19 | | (26) all_58_11 = e3 & op(e1, e0) = e3
% 203.37/34.19 | |
% 203.37/34.19 | | ALPHA: (26) implies:
% 203.37/34.19 | | (27) op(e1, e0) = e3
% 203.37/34.19 | |
% 203.37/34.19 | | REF_CLOSE: (1), (6), (9), (27) are inconsistent by sub-proof #1874.
% 203.37/34.19 | |
% 203.37/34.19 | End of split
% 203.37/34.19 |
% 203.37/34.19 End of proof
% 203.37/34.19
% 203.37/34.19 Sub-proof #24 shows that the following formulas are inconsistent:
% 203.37/34.19 ----------------------------------------------------------------
% 203.37/34.19 (1) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.19 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.37/34.19 (2) ~ (all_52_14 = e3)
% 203.37/34.19 (3) all_58_7 = e3
% 203.37/34.19 (4) ~ (e3 = e0)
% 203.37/34.19 (5) all_58_15 = e3
% 203.37/34.19 (6) ~ (e3 = e2)
% 203.37/34.19 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.19 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.19 (8) all_58_7 = e2 & op(e1, e2) = e2
% 203.37/34.19 (9) ~ (e3 = e1)
% 203.37/34.19 (10) ~ (all_52_12 = e3)
% 203.37/34.19 (11) op(e1, e0) = all_52_14
% 203.37/34.19 (12) all_58_5 = e2
% 203.37/34.19 (13) ~ (e1 = e0)
% 203.37/34.19 (14) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.19 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.19 (15) ~ (e2 = e1)
% 203.37/34.19 (16) op(e3, e0) = all_10_1
% 203.37/34.19 (17) op(e3, e0) = all_52_12
% 203.37/34.19 (18) ~ (e2 = e0)
% 203.37/34.19 (19) all_58_2 = e3
% 203.37/34.19 (20) op(e3, e0) = all_24_1
% 203.37/34.19 (21) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) = e3) |
% 203.37/34.19 (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0, e0) = e3)
% 203.37/34.19
% 203.37/34.19 Begin of proof
% 203.37/34.19 |
% 203.37/34.19 | ALPHA: (8) implies:
% 203.37/34.19 | (22) all_58_7 = e2
% 203.37/34.19 |
% 203.37/34.19 | COMBINE_EQS: (3), (22) imply:
% 203.37/34.19 | (23) e3 = e2
% 203.37/34.19 |
% 203.37/34.19 | SIMP: (23) implies:
% 203.37/34.19 | (24) e3 = e2
% 203.37/34.19 |
% 203.37/34.19 | COMBINE_EQS: (5), (24) imply:
% 203.37/34.19 | (25) all_58_15 = e2
% 203.37/34.19 |
% 203.37/34.19 | REF_CLOSE: (1), (2), (4), (6), (7), (9), (10), (11), (12), (13), (14), (15),
% 203.37/34.19 | (16), (17), (18), (19), (20), (21), (25) are inconsistent by
% 203.37/34.19 | sub-proof #38.
% 203.37/34.19 |
% 203.37/34.19 End of proof
% 203.37/34.19
% 203.37/34.19 Sub-proof #25 shows that the following formulas are inconsistent:
% 203.37/34.19 ----------------------------------------------------------------
% 203.37/34.19 (1) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.19 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.37/34.19 (2) ~ (all_52_14 = e3)
% 203.37/34.19 (3) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.37/34.19 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.37/34.19 (4) ~ (e3 = e0)
% 203.37/34.19 (5) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.37/34.19 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.37/34.19 (6) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.37/34.19 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.37/34.19 (7) op(e1, e2) = all_52_6
% 203.37/34.19 (8) op(e2, e3) = all_52_1
% 203.37/34.19 (9) op(e0, e2) = all_52_7
% 203.37/34.19 (10) ~ (e3 = e2)
% 203.37/34.19 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.19 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.19 (12) ~ (e3 = e1)
% 203.37/34.19 (13) all_56_14 = e0
% 203.37/34.19 (14) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 203.37/34.19 (15) ~ (all_52_12 = e3)
% 203.37/34.19 (16) all_56_12 = e0
% 203.37/34.19 (17) ~ (all_4_1 = e2)
% 203.37/34.19 (18) ~ (all_34_1 = e0)
% 203.37/34.19 (19) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 203.37/34.20 (20) op(e1, e0) = all_52_14
% 203.37/34.20 (21) ~ (all_52_13 = e1)
% 203.37/34.20 (22) ~ (all_52_2 = all_34_1)
% 203.37/34.20 (23) op(e3, e3) = e0
% 203.37/34.20 (24) all_54_14 = all_4_1
% 203.37/34.20 (25) all_58_10 = e0
% 203.37/34.20 (26) all_58_4 = e3
% 203.37/34.20 (27) ~ (all_4_1 = e0)
% 203.37/34.20 (28) op(e1, e2) = e3
% 203.37/34.20 (29) all_58_5 = e2
% 203.37/34.20 (30) op(e2, e0) = all_52_13
% 203.37/34.20 (31) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 = e2 & op(e2, e0) = e2) |
% 203.37/34.20 (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 = e2 & op(e0, e0) = e2)
% 203.37/34.20 (32) ~ (all_34_1 = all_4_1)
% 203.37/34.20 (33) ~ (all_52_1 = e1)
% 203.37/34.20 (34) all_58_3 = e1
% 203.37/34.20 (35) all_54_12 = all_34_1
% 203.37/34.20 (36) ~ (e1 = e0)
% 203.37/34.20 (37) op(e0, e3) = all_34_1
% 203.37/34.20 (38) all_58_8 = e0
% 203.37/34.20 (39) ~ (all_52_9 = e1)
% 203.37/34.20 (40) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.20 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.20 (41) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) = all_56_10
% 203.37/34.20 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 = e2) |
% 203.37/34.20 all_56_0 = e3) & ( ~ (all_56_14 = e2) | all_56_7 = e1) & ( ~
% 203.37/34.20 (all_56_15 = e2) | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.37/34.20 = e2) & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_0 = e0
% 203.37/34.20 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.37/34.20 (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.37/34.20 $i(all_56_6))) & (all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0)
% 203.37/34.20 = all_56_8 & $i(all_56_8))) & (all_56_10 = e3 | ( ~ (all_56_9 =
% 203.37/34.20 e2) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_10 = e1 |
% 203.37/34.20 ( ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.37/34.20 (all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.37/34.20 $i(all_56_3))) & (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2,
% 203.37/34.20 e1) = all_56_4 & $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.37/34.20 (all_56_5 = e2) & op(e2, e0) = all_56_5 & $i(all_56_5)))) |
% 203.37/34.20 (op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11
% 203.37/34.20 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.37/34.20 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.37/34.20 (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.37/34.20 = e1) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0
% 203.37/34.20 | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.37/34.20 (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.37/34.20 $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0)
% 203.37/34.20 = all_56_5 & $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 =
% 203.37/34.20 e1) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_11 = e2 |
% 203.37/34.20 ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 203.37/34.20 (all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.37/34.20 $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1,
% 203.37/34.20 e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.37/34.20 (all_56_8 = e1) & op(e1, e0) = all_56_8 & $i(all_56_8)))) |
% 203.37/34.20 (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 203.37/34.20 $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.37/34.20 all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.37/34.20 (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0 =
% 203.37/34.20 e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 |
% 203.37/34.20 ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.37/34.20 (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.37/34.20 $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1)
% 203.37/34.20 = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0)
% 203.37/34.20 & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.37/34.20 (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.37/34.20 (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.37/34.20 $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0,
% 203.37/34.20 e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.37/34.20 (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.37/34.20 (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.37/34.20 $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.37/34.20 all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.37/34.20 (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~ (all_56_4 =
% 203.37/34.20 e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.37/34.20 ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 203.37/34.20 (all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.37/34.20 $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0)
% 203.37/34.20 = all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 =
% 203.37/34.20 e3) & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1
% 203.37/34.20 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.37/34.20 (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.37/34.20 $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 203.37/34.20 e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.37/34.20 (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.37/34.20 (42) ~ (e2 = e1)
% 203.37/34.20 (43) op(e3, e0) = all_10_1
% 203.37/34.20 (44) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.37/34.20 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.37/34.20 (45) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2) |
% 203.37/34.20 (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) = e2)
% 203.37/34.20 (46) all_58_1 = e2
% 203.37/34.20 (47) op(e3, e0) = all_52_12
% 203.37/34.20 (48) ~ (e2 = e0)
% 203.37/34.20 (49) ~ (all_52_7 = e3)
% 203.37/34.20 (50) op(e2, e1) = all_52_9
% 203.37/34.20 (51) ~ (all_52_6 = e1)
% 203.37/34.20 (52) all_58_2 = e3
% 203.37/34.20 (53) op(e3, e0) = all_24_1
% 203.37/34.20 (54) op(e1, e3) = all_52_2
% 203.37/34.20 (55) ~ (all_4_1 = e3)
% 203.37/34.20 (56) ~ (all_34_1 = e3)
% 203.37/34.20 (57) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) = e3) |
% 203.37/34.20 (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0, e0) = e3)
% 203.37/34.20
% 203.37/34.20 Begin of proof
% 203.37/34.20 |
% 203.37/34.20 | BETA: splitting (19) gives:
% 203.37/34.20 |
% 203.37/34.20 | Case 1:
% 203.37/34.20 | |
% 203.37/34.20 | | (58) all_54_14 = e2
% 203.37/34.20 | |
% 203.37/34.20 | | REF_CLOSE: (17), (24), (58) are inconsistent by sub-proof #191.
% 203.37/34.20 | |
% 203.37/34.20 | Case 2:
% 203.37/34.20 | |
% 203.37/34.20 | | (59) ~ (all_54_14 = e2)
% 203.37/34.20 | | (60) all_54_14 = e1 | all_54_14 = e0
% 203.37/34.20 | |
% 203.37/34.20 | | BETA: splitting (31) gives:
% 203.37/34.20 | |
% 203.37/34.20 | | Case 1:
% 203.37/34.20 | | |
% 203.37/34.20 | | | (61) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 = e2 & op(e2, e0) =
% 203.37/34.20 | | | e2)
% 203.37/34.20 | | |
% 203.37/34.20 | | | BETA: splitting (61) gives:
% 203.37/34.20 | | |
% 203.37/34.20 | | | Case 1:
% 203.37/34.20 | | | |
% 203.37/34.20 | | | | (62) all_58_9 = e2 & op(e3, e0) = e2
% 203.37/34.20 | | | |
% 203.37/34.20 | | | | ALPHA: (62) implies:
% 203.37/34.20 | | | | (63) all_58_9 = e2
% 203.37/34.20 | | | |
% 203.37/34.20 | | | | REF_CLOSE: (5), (11), (12), (23), (26), (36), (42), (46), (63) are
% 203.37/34.20 | | | | inconsistent by sub-proof #978.
% 203.37/34.20 | | | |
% 203.37/34.20 | | | Case 2:
% 203.37/34.20 | | | |
% 203.37/34.20 | | | | (64) all_58_10 = e2 & op(e2, e0) = e2
% 203.37/34.20 | | | |
% 203.37/34.20 | | | | REF_CLOSE: (25), (48), (64) are inconsistent by sub-proof #1521.
% 203.37/34.20 | | | |
% 203.37/34.20 | | | End of split
% 203.37/34.20 | | |
% 203.37/34.20 | | Case 2:
% 203.37/34.20 | | |
% 203.37/34.20 | | | (65) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 = e2 & op(e0, e0)
% 203.37/34.20 | | | = e2)
% 203.37/34.20 | | |
% 203.37/34.20 | | | BETA: splitting (65) gives:
% 203.37/34.20 | | |
% 203.37/34.20 | | | Case 1:
% 203.37/34.20 | | | |
% 203.37/34.20 | | | | (66) all_58_11 = e2 & op(e1, e0) = e2
% 203.37/34.20 | | | |
% 203.37/34.20 | | | | ALPHA: (66) implies:
% 203.37/34.20 | | | | (67) all_58_11 = e2
% 203.37/34.20 | | | |
% 203.37/34.20 | | | | BETA: splitting (60) gives:
% 203.37/34.20 | | | |
% 203.37/34.20 | | | | Case 1:
% 203.37/34.20 | | | | |
% 203.37/34.20 | | | | | (68) all_54_14 = e1
% 203.37/34.20 | | | | |
% 203.37/34.20 | | | | | COMBINE_EQS: (24), (68) imply:
% 203.37/34.20 | | | | | (69) all_4_1 = e1
% 203.37/34.20 | | | | |
% 203.37/34.20 | | | | | SIMP: (69) implies:
% 203.37/34.20 | | | | | (70) all_4_1 = e1
% 203.37/34.20 | | | | |
% 203.37/34.20 | | | | | REDUCE: (32), (70) imply:
% 203.37/34.20 | | | | | (71) ~ (all_34_1 = e1)
% 203.37/34.20 | | | | |
% 203.37/34.20 | | | | | REDUCE: (55), (70) imply:
% 203.37/34.20 | | | | | (72) ~ (e3 = e1)
% 203.37/34.20 | | | | |
% 203.37/34.20 | | | | | REDUCE: (17), (70) imply:
% 203.37/34.20 | | | | | (73) ~ (e2 = e1)
% 203.37/34.20 | | | | |
% 203.37/34.20 | | | | | BETA: splitting (14) gives:
% 203.37/34.20 | | | | |
% 203.37/34.20 | | | | | Case 1:
% 203.37/34.20 | | | | | |
% 203.37/34.20 | | | | | | (74) all_54_12 = e3
% 203.37/34.20 | | | | | |
% 203.37/34.20 | | | | | | REF_CLOSE: (35), (56), (74) are inconsistent by sub-proof #1710.
% 203.37/34.20 | | | | | |
% 203.37/34.20 | | | | | Case 2:
% 203.37/34.20 | | | | | |
% 203.37/34.20 | | | | | | (75) ~ (all_54_12 = e3)
% 203.37/34.20 | | | | | | (76) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 203.37/34.20 | | | | | |
% 203.37/34.20 | | | | | | BETA: splitting (44) gives:
% 203.37/34.20 | | | | | |
% 203.37/34.20 | | | | | | Case 1:
% 203.37/34.20 | | | | | | |
% 203.37/34.20 | | | | | | | (77) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 &
% 203.37/34.20 | | | | | | | op(e1, e2) = e1)
% 203.37/34.20 | | | | | | |
% 203.37/34.20 | | | | | | | BETA: splitting (77) gives:
% 203.37/34.20 | | | | | | |
% 203.37/34.20 | | | | | | | Case 1:
% 203.37/34.20 | | | | | | | |
% 203.37/34.20 | | | | | | | | (78) all_58_6 = e1 & op(e1, e3) = e1
% 203.37/34.20 | | | | | | | |
% 203.37/34.20 | | | | | | | | ALPHA: (78) implies:
% 203.37/34.20 | | | | | | | | (79) op(e1, e3) = e1
% 203.37/34.20 | | | | | | | |
% 203.37/34.20 | | | | | | | | BETA: splitting (76) gives:
% 203.37/34.20 | | | | | | | |
% 203.37/34.20 | | | | | | | | Case 1:
% 203.37/34.20 | | | | | | | | |
% 203.37/34.20 | | | | | | | | | (80) all_54_12 = e2
% 203.37/34.20 | | | | | | | | |
% 203.37/34.20 | | | | | | | | | COMBINE_EQS: (35), (80) imply:
% 203.37/34.20 | | | | | | | | | (81) all_34_1 = e2
% 203.37/34.20 | | | | | | | | |
% 203.37/34.20 | | | | | | | | | SIMP: (81) implies:
% 203.37/34.20 | | | | | | | | | (82) all_34_1 = e2
% 203.37/34.20 | | | | | | | | |
% 203.37/34.20 | | | | | | | | | REDUCE: (22), (82) imply:
% 203.37/34.20 | | | | | | | | | (83) ~ (all_52_2 = e2)
% 203.37/34.20 | | | | | | | | |
% 203.37/34.20 | | | | | | | | | REDUCE: (56), (82) imply:
% 203.37/34.20 | | | | | | | | | (84) ~ (e3 = e2)
% 203.37/34.20 | | | | | | | | |
% 203.37/34.20 | | | | | | | | | REDUCE: (37), (82) imply:
% 203.37/34.20 | | | | | | | | | (85) op(e0, e3) = e2
% 203.37/34.20 | | | | | | | | |
% 203.37/34.20 | | | | | | | | | BETA: splitting (41) gives:
% 203.37/34.20 | | | | | | | | |
% 203.37/34.20 | | | | | | | | | Case 1:
% 203.37/34.20 | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | (86) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 203.37/34.20 | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 203.37/34.20 | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 203.37/34.20 | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 203.37/34.20 | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 203.37/34.20 | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.37/34.20 | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 203.37/34.20 | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 =
% 203.37/34.20 | | | | | | | | | | e2 | ( ~ (all_56_0 = e1) & op(e3, e2) = all_56_0
% 203.37/34.20 | | | | | | | | | | & $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_8))))
% 203.37/34.20 | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | BETA: splitting (86) gives:
% 203.37/34.20 | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | Case 1:
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | | (87) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 203.37/34.20 | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 203.37/34.20 | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 203.37/34.20 | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 203.37/34.20 | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.37/34.20 | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_5)))
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | | ALPHA: (87) implies:
% 203.37/34.20 | | | | | | | | | | | (88) op(e0, e2) = all_56_10
% 203.37/34.20 | | | | | | | | | | | (89) all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3)
% 203.37/34.20 | | | | | | | | | | | = all_56_9 & $i(all_56_9))
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | | REF_CLOSE: (9), (11), (49), (85), (88), (89) are inconsistent
% 203.37/34.20 | | | | | | | | | | | by sub-proof #664.
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | Case 2:
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | | (90) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 203.37/34.20 | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 203.37/34.20 | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 203.37/34.20 | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 203.37/34.20 | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.37/34.20 | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_8)))
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | | ALPHA: (90) implies:
% 203.37/34.20 | | | | | | | | | | | (91) all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3)
% 203.37/34.20 | | | | | | | | | | | = all_56_6 & $i(all_56_6))
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (10), (11), (12), (13), (23), (36),
% 203.37/34.20 | | | | | | | | | | | (42), (45), (48), (52), (54), (79), (83), (91) are
% 203.37/34.20 | | | | | | | | | | | inconsistent by sub-proof #27.
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | End of split
% 203.37/34.20 | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | Case 2:
% 203.37/34.20 | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | (92) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 203.37/34.20 | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 203.37/34.20 | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 203.37/34.20 | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 203.37/34.20 | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 203.37/34.20 | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 203.37/34.20 | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 203.37/34.20 | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 203.37/34.20 | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 203.37/34.20 | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 203.37/34.20 | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 =
% 203.37/34.20 | | | | | | | | | | e1 | ( ~ (all_56_4 = e3) & op(e2, e1) = all_56_4
% 203.37/34.20 | | | | | | | | | | & $i(all_56_4))) & (all_56_3 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 203.37/34.20 | | | | | | | | | | $i(all_56_2))))
% 203.37/34.20 | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | BETA: splitting (92) gives:
% 203.37/34.20 | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | Case 1:
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | | (93) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 203.37/34.20 | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 203.37/34.20 | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 203.37/34.20 | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 203.37/34.20 | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 203.37/34.20 | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 203.37/34.20 | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 203.37/34.20 | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 203.37/34.20 | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_11)))
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | | ALPHA: (93) implies:
% 203.37/34.20 | | | | | | | | | | | (94) op(e3, e0) = all_56_2
% 203.37/34.20 | | | | | | | | | | | (95) ~ (all_56_12 = e0) | all_56_2 = e3
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | | REF_CLOSE: (11), (15), (16), (43), (47), (53), (94), (95) are
% 203.37/34.20 | | | | | | | | | | | inconsistent by sub-proof #501.
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | Case 2:
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | | (96) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 203.37/34.20 | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 203.37/34.20 | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 203.37/34.20 | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 203.37/34.20 | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 203.37/34.20 | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 203.37/34.20 | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 203.37/34.20 | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 203.37/34.20 | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.37/34.20 | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 203.37/34.20 | | | | | | | | | | | $i(all_56_2)))
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | | ALPHA: (96) implies:
% 203.37/34.20 | | | | | | | | | | | (97) op(e1, e3) = all_56_6
% 203.37/34.20 | | | | | | | | | | | (98) all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) =
% 203.37/34.20 | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | | REF_CLOSE: (11), (28), (54), (83), (97), (98) are
% 203.37/34.20 | | | | | | | | | | | inconsistent by sub-proof #961.
% 203.37/34.20 | | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | | End of split
% 203.37/34.20 | | | | | | | | | |
% 203.37/34.20 | | | | | | | | | End of split
% 203.37/34.20 | | | | | | | | |
% 203.37/34.20 | | | | | | | | Case 2:
% 203.37/34.20 | | | | | | | | |
% 203.37/34.20 | | | | | | | | | (99) all_54_12 = e1 | all_54_12 = e0
% 203.37/34.20 | | | | | | | | |
% 203.37/34.20 | | | | | | | | | REF_CLOSE: (18), (35), (71), (99) are inconsistent by
% 203.37/34.20 | | | | | | | | | sub-proof #1704.
% 203.37/34.20 | | | | | | | | |
% 203.37/34.20 | | | | | | | | End of split
% 203.37/34.20 | | | | | | | |
% 203.37/34.20 | | | | | | | Case 2:
% 203.37/34.20 | | | | | | | |
% 203.37/34.20 | | | | | | | | (100) all_58_7 = e1 & op(e1, e2) = e1
% 203.37/34.20 | | | | | | | |
% 203.37/34.20 | | | | | | | | ALPHA: (100) implies:
% 203.37/34.20 | | | | | | | | (101) op(e1, e2) = e1
% 203.37/34.20 | | | | | | | |
% 203.37/34.20 | | | | | | | | REF_CLOSE: (7), (11), (51), (101) are inconsistent by sub-proof
% 203.37/34.20 | | | | | | | | #445.
% 203.37/34.20 | | | | | | | |
% 203.37/34.20 | | | | | | | End of split
% 203.37/34.20 | | | | | | |
% 203.37/34.20 | | | | | | Case 2:
% 203.37/34.20 | | | | | | |
% 203.37/34.20 | | | | | | | (102) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 &
% 203.37/34.20 | | | | | | | op(e1, e0) = e1)
% 203.37/34.20 | | | | | | |
% 203.37/34.20 | | | | | | | REF_CLOSE: (8), (11), (21), (30), (33), (34), (36), (38), (39),
% 203.37/34.20 | | | | | | | (40), (42), (50), (67), (102) are inconsistent by
% 203.37/34.20 | | | | | | | sub-proof #26.
% 203.37/34.20 | | | | | | |
% 203.37/34.20 | | | | | | End of split
% 203.37/34.20 | | | | | |
% 203.37/34.20 | | | | | End of split
% 203.37/34.20 | | | | |
% 203.37/34.20 | | | | Case 2:
% 203.37/34.20 | | | | |
% 203.37/34.20 | | | | | (103) all_54_14 = e0
% 203.37/34.20 | | | | |
% 203.37/34.20 | | | | | REF_CLOSE: (24), (27), (103) are inconsistent by sub-proof #190.
% 203.37/34.20 | | | | |
% 203.37/34.20 | | | | End of split
% 203.37/34.20 | | | |
% 203.37/34.20 | | | Case 2:
% 203.37/34.20 | | | |
% 203.37/34.20 | | | | (104) all_58_15 = e2 & op(e0, e0) = e2
% 203.37/34.20 | | | |
% 203.37/34.20 | | | | ALPHA: (104) implies:
% 203.37/34.20 | | | | (105) all_58_15 = e2
% 203.37/34.20 | | | |
% 203.37/34.20 | | | | REF_CLOSE: (1), (2), (4), (10), (11), (12), (15), (20), (29), (36),
% 203.37/34.20 | | | | (40), (42), (43), (47), (48), (52), (53), (57), (105) are
% 203.37/34.20 | | | | inconsistent by sub-proof #38.
% 203.37/34.20 | | | |
% 203.37/34.20 | | | End of split
% 203.37/34.20 | | |
% 203.37/34.20 | | End of split
% 203.37/34.20 | |
% 203.37/34.20 | End of split
% 203.37/34.20 |
% 203.37/34.20 End of proof
% 203.37/34.20
% 203.37/34.20 Sub-proof #26 shows that the following formulas are inconsistent:
% 203.37/34.20 ----------------------------------------------------------------
% 203.37/34.20 (1) op(e2, e3) = all_52_1
% 203.37/34.20 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.20 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.20 (3) ~ (all_52_13 = e1)
% 203.37/34.20 (4) op(e2, e0) = all_52_13
% 203.37/34.20 (5) ~ (all_52_1 = e1)
% 203.37/34.20 (6) all_58_3 = e1
% 203.37/34.20 (7) ~ (e1 = e0)
% 203.37/34.20 (8) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.37/34.20 (9) all_58_8 = e0
% 203.37/34.20 (10) all_58_11 = e2
% 203.37/34.20 (11) ~ (all_52_9 = e1)
% 203.37/34.20 (12) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.20 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.20 (13) ~ (e2 = e1)
% 203.37/34.20 (14) op(e2, e1) = all_52_9
% 203.37/34.20
% 203.37/34.20 Begin of proof
% 203.37/34.20 |
% 203.37/34.20 | BETA: splitting (8) gives:
% 203.37/34.20 |
% 203.37/34.20 | Case 1:
% 203.37/34.20 | |
% 203.37/34.20 | | (15) all_58_8 = e1 & op(e1, e1) = e1
% 203.37/34.20 | |
% 203.37/34.20 | | ALPHA: (15) implies:
% 203.37/34.20 | | (16) all_58_8 = e1
% 203.37/34.20 | |
% 203.37/34.20 | | COMBINE_EQS: (9), (16) imply:
% 203.37/34.20 | | (17) e1 = e0
% 203.37/34.20 | |
% 203.37/34.20 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (11), (12), (14), (17) are
% 203.37/34.20 | | inconsistent by sub-proof #92.
% 203.37/34.20 | |
% 203.37/34.20 | Case 2:
% 203.37/34.20 | |
% 203.37/34.20 | | (18) all_58_11 = e1 & op(e1, e0) = e1
% 203.37/34.20 | |
% 203.37/34.20 | | ALPHA: (18) implies:
% 203.37/34.20 | | (19) all_58_11 = e1
% 203.37/34.20 | |
% 203.37/34.20 | | REF_CLOSE: (10), (13), (19) are inconsistent by sub-proof #1559.
% 203.37/34.20 | |
% 203.37/34.20 | End of split
% 203.37/34.20 |
% 203.37/34.20 End of proof
% 203.37/34.20
% 203.37/34.20 Sub-proof #27 shows that the following formulas are inconsistent:
% 203.37/34.20 ----------------------------------------------------------------
% 203.37/34.20 (1) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.37/34.20 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.37/34.20 (2) ~ (e3 = e0)
% 203.37/34.21 (3) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.37/34.21 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.37/34.21 (4) ~ (e3 = e2)
% 203.37/34.21 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.21 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.21 (6) ~ (e3 = e1)
% 203.37/34.21 (7) all_56_14 = e0
% 203.37/34.21 (8) all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.37/34.21 $i(all_56_6))
% 203.37/34.21 (9) op(e3, e3) = e0
% 203.37/34.21 (10) ~ (all_52_2 = e2)
% 203.37/34.21 (11) ~ (e1 = e0)
% 203.37/34.21 (12) op(e1, e3) = e1
% 203.37/34.21 (13) ~ (e2 = e1)
% 203.37/34.21 (14) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2) |
% 203.37/34.21 (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) = e2)
% 203.37/34.21 (15) ~ (e2 = e0)
% 203.37/34.21 (16) all_58_2 = e3
% 203.37/34.21 (17) op(e1, e3) = all_52_2
% 203.37/34.21
% 203.37/34.21 Begin of proof
% 203.37/34.21 |
% 203.37/34.21 | BETA: splitting (8) gives:
% 203.37/34.21 |
% 203.37/34.21 | Case 1:
% 203.37/34.21 | |
% 203.37/34.21 | | (18) all_56_14 = e3
% 203.37/34.21 | |
% 203.37/34.21 | | COMBINE_EQS: (7), (18) imply:
% 203.37/34.21 | | (19) e3 = e0
% 203.37/34.21 | |
% 203.37/34.21 | | SIMP: (19) implies:
% 203.37/34.21 | | (20) e3 = e0
% 203.37/34.21 | |
% 203.37/34.21 | | COMBINE_EQS: (16), (20) imply:
% 203.37/34.21 | | (21) all_58_2 = e0
% 203.37/34.21 | |
% 203.37/34.21 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (10), (11), (13), (14), (15),
% 203.37/34.21 | | (17), (21) are inconsistent by sub-proof #921.
% 203.37/34.21 | |
% 203.37/34.21 | Case 2:
% 203.37/34.21 | |
% 203.37/34.21 | | (22) ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 & $i(all_56_6)
% 203.37/34.21 | |
% 203.37/34.21 | | ALPHA: (22) implies:
% 203.37/34.21 | | (23) ~ (all_56_6 = e1)
% 203.37/34.21 | | (24) op(e1, e3) = all_56_6
% 203.37/34.21 | |
% 203.37/34.21 | | REF_CLOSE: (5), (12), (23), (24) are inconsistent by sub-proof #962.
% 203.37/34.21 | |
% 203.37/34.21 | End of split
% 203.37/34.21 |
% 203.37/34.21 End of proof
% 203.37/34.21
% 203.37/34.21 Sub-proof #28 shows that the following formulas are inconsistent:
% 203.37/34.21 ----------------------------------------------------------------
% 203.37/34.21 (1) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.37/34.21 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.37/34.21 (2) ~ (e3 = e0)
% 203.37/34.21 (3) all_58_6 = e3
% 203.37/34.21 (4) ~ (e3 = e2)
% 203.37/34.21 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.21 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.21 (6) ~ (e3 = e1)
% 203.37/34.21 (7) ~ (all_52_13 = e3)
% 203.37/34.21 (8) all_58_12 = e2
% 203.37/34.21 (9) all_58_5 = e2
% 203.37/34.21 (10) op(e2, e0) = all_52_13
% 203.37/34.21 (11) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.21 (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) = e3)
% 203.37/34.21 (12) ~ (e1 = e0)
% 203.37/34.21 (13) ~ (e2 = e1)
% 203.37/34.21 (14) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.37/34.21 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.37/34.21 (15) op(e2, e2) = e1
% 203.37/34.21 (16) ~ (e2 = e0)
% 203.37/34.21
% 203.37/34.21 Begin of proof
% 203.37/34.21 |
% 203.37/34.21 | BETA: splitting (11) gives:
% 203.37/34.21 |
% 203.37/34.21 | Case 1:
% 203.37/34.21 | |
% 203.37/34.21 | | (17) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) =
% 203.37/34.21 | | e3)
% 203.37/34.21 | |
% 203.37/34.21 | | BETA: splitting (17) gives:
% 203.37/34.21 | |
% 203.37/34.21 | | Case 1:
% 203.37/34.21 | | |
% 203.37/34.21 | | | (18) all_58_2 = e3 & op(e2, e3) = e3
% 203.37/34.21 | | |
% 203.37/34.21 | | | ALPHA: (18) implies:
% 203.37/34.21 | | | (19) all_58_2 = e3
% 203.37/34.21 | | |
% 203.37/34.21 | | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (12), (13), (14), (16), (19) are
% 203.37/34.21 | | | inconsistent by sub-proof #580.
% 203.37/34.21 | | |
% 203.37/34.21 | | Case 2:
% 203.37/34.21 | | |
% 203.37/34.21 | | | (20) all_58_3 = e3 & op(e2, e2) = e3
% 203.37/34.21 | | |
% 203.37/34.21 | | | ALPHA: (20) implies:
% 203.37/34.21 | | | (21) op(e2, e2) = e3
% 203.37/34.21 | | |
% 203.37/34.21 | | | REF_CLOSE: (5), (6), (15), (21) are inconsistent by sub-proof #1029.
% 203.37/34.21 | | |
% 203.37/34.21 | | End of split
% 203.37/34.21 | |
% 203.37/34.21 | Case 2:
% 203.37/34.21 | |
% 203.37/34.21 | | (22) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) =
% 203.37/34.21 | | e3)
% 203.37/34.21 | |
% 203.37/34.21 | | REF_CLOSE: (4), (5), (7), (9), (10), (22) are inconsistent by sub-proof #37.
% 203.37/34.21 | |
% 203.37/34.21 | End of split
% 203.37/34.21 |
% 203.37/34.21 End of proof
% 203.37/34.21
% 203.37/34.21 Sub-proof #29 shows that the following formulas are inconsistent:
% 203.37/34.21 ----------------------------------------------------------------
% 203.37/34.21 (1) all_58_5 = e3
% 203.37/34.21 (2) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.37/34.21 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.37/34.21 (3) ~ (e3 = e0)
% 203.37/34.21 (4) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.37/34.21 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.37/34.21 (5) op(e2, e3) = e2
% 203.37/34.21 (6) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.37/34.21 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.37/34.21 (7) op(e2, e1) = all_56_4
% 203.37/34.21 (8) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.37/34.21 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.37/34.21 (9) all_58_15 = e3
% 203.37/34.21 (10) all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.37/34.21 $i(all_56_3))
% 203.37/34.21 (11) all_58_6 = e3
% 203.37/34.21 (12) op(e2, e3) = all_52_1
% 203.37/34.21 (13) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.37/34.21 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.37/34.21 (14) ~ (e3 = e2)
% 203.37/34.21 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.21 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.21 (16) ~ (e3 = e1)
% 203.37/34.21 (17) all_58_13 = e0
% 203.37/34.21 (18) op(e3, e3) = e0
% 203.37/34.21 (19) all_58_10 = e0
% 203.37/34.21 (20) all_54_4 = all_52_1
% 203.37/34.21 (21) all_58_2 = e2
% 203.37/34.21 (22) op(e1, e3) = all_56_6
% 203.37/34.21 (23) op(e2, e1) = e3
% 203.37/34.21 (24) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.37/34.21 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.37/34.21 (25) all_58_7 = e2
% 203.37/34.21 (26) ~ (all_52_2 = e2)
% 203.37/34.21 (27) ~ (all_52_1 = e1)
% 203.37/34.21 (28) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.37/34.21 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.37/34.21 (29) all_58_3 = e1
% 203.37/34.21 (30) ~ (e1 = e0)
% 203.37/34.21 (31) all_58_1 = e3
% 203.37/34.21 (32) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 203.37/34.21 (33) all_58_8 = e0
% 203.37/34.21 (34) ~ (all_52_9 = e1)
% 203.37/34.21 (35) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.21 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.21 (36) ~ (e2 = e1)
% 203.37/34.21 (37) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.37/34.21 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.37/34.21 (38) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.37/34.21 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.37/34.21 (39) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.37/34.21 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.37/34.21 (40) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2) |
% 203.37/34.21 (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) = e2)
% 203.37/34.21 (41) ~ (e2 = e0)
% 203.37/34.21 (42) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.21 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.37/34.21 e2)
% 203.37/34.21 (43) ~ (all_56_6 = e1)
% 203.37/34.21 (44) op(e2, e1) = all_52_9
% 203.37/34.21 (45) ~ (all_56_13 = e1) | all_56_4 = e2
% 203.37/34.21 (46) op(e1, e3) = all_52_2
% 203.37/34.21 (47) all_56_13 = e1
% 203.37/34.21 (48) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.37/34.21 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.37/34.21 (49) ~ (all_52_1 = e0)
% 203.37/34.21
% 203.37/34.21 Begin of proof
% 203.37/34.21 |
% 203.37/34.21 | BETA: splitting (2) gives:
% 203.37/34.21 |
% 203.37/34.21 | Case 1:
% 203.37/34.21 | |
% 203.37/34.21 | | (50) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) =
% 203.37/34.21 | | e1)
% 203.37/34.21 | |
% 203.37/34.21 | | REF_CLOSE: (12), (15), (18), (20), (27), (30), (32), (49), (50) are
% 203.37/34.21 | | inconsistent by sub-proof #91.
% 203.37/34.21 | |
% 203.37/34.21 | Case 2:
% 203.37/34.21 | |
% 203.37/34.21 | | (51) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) =
% 203.37/34.21 | | e1)
% 203.37/34.21 | |
% 203.37/34.21 | | BETA: splitting (51) gives:
% 203.37/34.21 | |
% 203.37/34.21 | | Case 1:
% 203.37/34.21 | | |
% 203.37/34.21 | | | (52) all_58_6 = e1 & op(e1, e3) = e1
% 203.37/34.21 | | |
% 203.37/34.21 | | | ALPHA: (52) implies:
% 203.37/34.21 | | | (53) op(e1, e3) = e1
% 203.37/34.21 | | |
% 203.37/34.21 | | | REF_CLOSE: (15), (22), (43), (53) are inconsistent by sub-proof #962.
% 203.37/34.21 | | |
% 203.37/34.21 | | Case 2:
% 203.37/34.21 | | |
% 203.37/34.21 | | | (54) all_58_12 = e1 & op(e0, e3) = e1
% 203.37/34.21 | | |
% 203.37/34.21 | | | ALPHA: (54) implies:
% 203.37/34.21 | | | (55) all_58_12 = e1
% 203.37/34.21 | | |
% 203.37/34.21 | | | BETA: splitting (28) gives:
% 203.37/34.21 | | |
% 203.37/34.21 | | | Case 1:
% 203.37/34.21 | | | |
% 203.37/34.21 | | | | (56) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1)
% 203.37/34.21 | | | | = e1)
% 203.37/34.21 | | | |
% 203.37/34.21 | | | | BETA: splitting (56) gives:
% 203.37/34.21 | | | |
% 203.37/34.21 | | | | Case 1:
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | (57) all_58_4 = e1 & op(e3, e1) = e1
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | ALPHA: (57) implies:
% 203.37/34.21 | | | | | (58) all_58_4 = e1
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | BETA: splitting (24) gives:
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | Case 1:
% 203.37/34.21 | | | | | |
% 203.37/34.21 | | | | | | (59) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2,
% 203.37/34.21 | | | | | | e1) = e2)
% 203.37/34.21 | | | | | |
% 203.37/34.21 | | | | | | BETA: splitting (59) gives:
% 203.37/34.21 | | | | | |
% 203.37/34.21 | | | | | | Case 1:
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | | (60) all_58_4 = e2 & op(e3, e1) = e2
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | | REF_CLOSE: (36), (58), (60) are inconsistent by sub-proof #1916.
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | Case 2:
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | | (61) all_58_5 = e2 & op(e2, e1) = e2
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | | ALPHA: (61) implies:
% 203.37/34.21 | | | | | | | (62) all_58_5 = e2
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | | REF_CLOSE: (1), (14), (62) are inconsistent by sub-proof #1027.
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | End of split
% 203.37/34.21 | | | | | |
% 203.37/34.21 | | | | | Case 2:
% 203.37/34.21 | | | | | |
% 203.37/34.21 | | | | | | (63) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0,
% 203.37/34.21 | | | | | | e1) = e2)
% 203.37/34.21 | | | | | |
% 203.37/34.21 | | | | | | BETA: splitting (63) gives:
% 203.37/34.21 | | | | | |
% 203.37/34.21 | | | | | | Case 1:
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | | (64) all_58_8 = e2 & op(e1, e1) = e2
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | | ALPHA: (64) implies:
% 203.37/34.21 | | | | | | | (65) all_58_8 = e2
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | | REF_CLOSE: (2), (3), (5), (6), (13), (14), (15), (16), (18), (21),
% 203.37/34.21 | | | | | | | (25), (26), (30), (36), (38), (39), (40), (41), (46),
% 203.37/34.21 | | | | | | | (65) are inconsistent by sub-proof #731.
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | Case 2:
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | | (66) all_58_14 = e2 & op(e0, e1) = e2
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | | ALPHA: (66) implies:
% 203.37/34.21 | | | | | | | (67) all_58_14 = e2
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | | BETA: splitting (45) gives:
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | | Case 1:
% 203.37/34.21 | | | | | | | |
% 203.37/34.21 | | | | | | | | (68) ~ (all_56_13 = e1)
% 203.37/34.21 | | | | | | | |
% 203.37/34.21 | | | | | | | | REDUCE: (47), (68) imply:
% 203.37/34.21 | | | | | | | | (69) $false
% 203.37/34.21 | | | | | | | |
% 203.37/34.21 | | | | | | | | CLOSE: (69) is inconsistent.
% 203.37/34.21 | | | | | | | |
% 203.37/34.21 | | | | | | | Case 2:
% 203.37/34.21 | | | | | | | |
% 203.37/34.21 | | | | | | | | (70) all_56_4 = e2
% 203.37/34.21 | | | | | | | |
% 203.37/34.21 | | | | | | | | BETA: splitting (48) gives:
% 203.37/34.21 | | | | | | | |
% 203.37/34.21 | | | | | | | | Case 1:
% 203.37/34.21 | | | | | | | | |
% 203.37/34.21 | | | | | | | | | (71) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 &
% 203.37/34.21 | | | | | | | | | op(e3, e2) = e2)
% 203.37/34.21 | | | | | | | | |
% 203.37/34.21 | | | | | | | | | BETA: splitting (71) gives:
% 203.37/34.21 | | | | | | | | |
% 203.37/34.21 | | | | | | | | | Case 1:
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | (72) all_58_0 = e2 & op(e3, e3) = e2
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | ALPHA: (72) implies:
% 203.37/34.21 | | | | | | | | | | (73) op(e3, e3) = e2
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | REF_CLOSE: (2), (3), (11), (15), (16), (21), (30), (36),
% 203.37/34.21 | | | | | | | | | | (37), (41), (73) are inconsistent by sub-proof
% 203.37/34.21 | | | | | | | | | | #1236.
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | Case 2:
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | (74) all_58_1 = e2 & op(e3, e2) = e2
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | REF_CLOSE: (14), (31), (74) are inconsistent by sub-proof
% 203.37/34.21 | | | | | | | | | | #1918.
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | End of split
% 203.37/34.21 | | | | | | | | |
% 203.37/34.21 | | | | | | | | Case 2:
% 203.37/34.21 | | | | | | | | |
% 203.37/34.21 | | | | | | | | | (75) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 &
% 203.37/34.21 | | | | | | | | | op(e3, e0) = e2)
% 203.37/34.21 | | | | | | | | |
% 203.37/34.21 | | | | | | | | | BETA: splitting (75) gives:
% 203.37/34.21 | | | | | | | | |
% 203.37/34.21 | | | | | | | | | Case 1:
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | (76) all_58_4 = e2 & op(e3, e1) = e2
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | ALPHA: (76) implies:
% 203.37/34.21 | | | | | | | | | | (77) all_58_4 = e2
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | COMBINE_EQS: (58), (77) imply:
% 203.37/34.21 | | | | | | | | | | (78) e2 = e1
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | COMBINE_EQS: (67), (78) imply:
% 203.37/34.21 | | | | | | | | | | (79) all_58_14 = e1
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | REF_CLOSE: (9), (14), (15), (17), (18), (21), (26), (36),
% 203.37/34.21 | | | | | | | | | | (40), (41), (42), (46), (55), (79) are
% 203.37/34.21 | | | | | | | | | | inconsistent by sub-proof #30.
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | Case 2:
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | (80) all_58_9 = e2 & op(e3, e0) = e2
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | ALPHA: (80) implies:
% 203.37/34.21 | | | | | | | | | | (81) all_58_9 = e2
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | BETA: splitting (10) gives:
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | Case 1:
% 203.37/34.21 | | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | | (82) all_56_4 = e3
% 203.37/34.21 | | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | | COMBINE_EQS: (70), (82) imply:
% 203.37/34.21 | | | | | | | | | | | (83) e3 = e2
% 203.37/34.21 | | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | | SIMP: (83) implies:
% 203.37/34.21 | | | | | | | | | | | (84) e3 = e2
% 203.37/34.21 | | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | | COMBINE_EQS: (31), (84) imply:
% 203.37/34.21 | | | | | | | | | | | (85) all_58_1 = e2
% 203.37/34.21 | | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | | REF_CLOSE: (3), (4), (8), (14), (15), (16), (18), (30), (36),
% 203.37/34.21 | | | | | | | | | | | (81), (85) are inconsistent by sub-proof #220.
% 203.37/34.21 | | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | Case 2:
% 203.37/34.21 | | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | | (86) ~ (all_56_4 = e3)
% 203.37/34.21 | | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | | REF_CLOSE: (7), (15), (23), (86) are inconsistent by
% 203.37/34.21 | | | | | | | | | | | sub-proof #933.
% 203.37/34.21 | | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | | End of split
% 203.37/34.21 | | | | | | | | | |
% 203.37/34.21 | | | | | | | | | End of split
% 203.37/34.21 | | | | | | | | |
% 203.37/34.21 | | | | | | | | End of split
% 203.37/34.21 | | | | | | | |
% 203.37/34.21 | | | | | | | End of split
% 203.37/34.21 | | | | | | |
% 203.37/34.21 | | | | | | End of split
% 203.37/34.21 | | | | | |
% 203.37/34.21 | | | | | End of split
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | Case 2:
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | (87) all_58_5 = e1 & op(e2, e1) = e1
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | ALPHA: (87) implies:
% 203.37/34.21 | | | | | (88) op(e2, e1) = e1
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | REF_CLOSE: (15), (34), (44), (88) are inconsistent by sub-proof #467.
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | End of split
% 203.37/34.21 | | | |
% 203.37/34.21 | | | Case 2:
% 203.37/34.21 | | | |
% 203.37/34.21 | | | | (89) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1)
% 203.37/34.21 | | | | = e1)
% 203.37/34.21 | | | |
% 203.37/34.21 | | | | BETA: splitting (89) gives:
% 203.37/34.21 | | | |
% 203.37/34.21 | | | | Case 1:
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | (90) all_58_8 = e1 & op(e1, e1) = e1
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | ALPHA: (90) implies:
% 203.37/34.21 | | | | | (91) all_58_8 = e1
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | COMBINE_EQS: (33), (91) imply:
% 203.37/34.21 | | | | | (92) e1 = e0
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | SIMP: (92) implies:
% 203.37/34.21 | | | | | (93) e1 = e0
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | COMBINE_EQS: (29), (93) imply:
% 203.37/34.21 | | | | | (94) all_58_3 = e0
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | REF_CLOSE: (1), (16), (19), (21), (30), (35), (36), (94) are
% 203.37/34.21 | | | | | inconsistent by sub-proof #1020.
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | Case 2:
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | (95) all_58_14 = e1 & op(e0, e1) = e1
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | ALPHA: (95) implies:
% 203.37/34.21 | | | | | (96) all_58_14 = e1
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | | REF_CLOSE: (9), (14), (15), (17), (18), (21), (26), (36), (40), (41),
% 203.37/34.21 | | | | | (42), (46), (55), (96) are inconsistent by sub-proof #30.
% 203.37/34.21 | | | | |
% 203.37/34.21 | | | | End of split
% 203.37/34.21 | | | |
% 203.37/34.21 | | | End of split
% 203.37/34.21 | | |
% 203.37/34.21 | | End of split
% 203.37/34.21 | |
% 203.37/34.21 | End of split
% 203.37/34.21 |
% 203.37/34.21 End of proof
% 203.37/34.21
% 203.37/34.21 Sub-proof #30 shows that the following formulas are inconsistent:
% 203.37/34.21 ----------------------------------------------------------------
% 203.37/34.21 (1) all_58_15 = e3
% 203.37/34.21 (2) ~ (e3 = e2)
% 203.37/34.21 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.21 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.21 (4) all_58_12 = e1
% 203.37/34.21 (5) all_58_13 = e0
% 203.37/34.21 (6) op(e3, e3) = e0
% 203.37/34.21 (7) all_58_2 = e2
% 203.37/34.21 (8) ~ (all_52_2 = e2)
% 203.37/34.21 (9) ~ (e2 = e1)
% 203.37/34.21 (10) all_58_14 = e1
% 203.37/34.21 (11) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2) |
% 203.37/34.21 (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) = e2)
% 203.37/34.21 (12) ~ (e2 = e0)
% 203.37/34.21 (13) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.21 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.37/34.21 e2)
% 203.37/34.21 (14) op(e1, e3) = all_52_2
% 203.37/34.21
% 203.37/34.21 Begin of proof
% 203.37/34.21 |
% 203.37/34.21 | BETA: splitting (13) gives:
% 203.37/34.21 |
% 203.37/34.21 | Case 1:
% 203.37/34.21 | |
% 203.37/34.21 | | (15) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) =
% 203.37/34.21 | | e2)
% 203.37/34.21 | |
% 203.37/34.21 | | BETA: splitting (15) gives:
% 203.37/34.21 | |
% 203.37/34.21 | | Case 1:
% 203.37/34.21 | | |
% 203.37/34.21 | | | (16) all_58_12 = e2 & op(e0, e3) = e2
% 203.37/34.21 | | |
% 203.37/34.21 | | | REF_CLOSE: (4), (9), (16) are inconsistent by sub-proof #1760.
% 203.37/34.21 | | |
% 203.37/34.21 | | Case 2:
% 203.37/34.21 | | |
% 203.37/34.21 | | | (17) all_58_13 = e2 & op(e0, e2) = e2
% 203.37/34.21 | | |
% 203.37/34.21 | | | ALPHA: (17) implies:
% 203.37/34.21 | | | (18) all_58_13 = e2
% 203.37/34.21 | | |
% 203.37/34.21 | | | COMBINE_EQS: (5), (18) imply:
% 203.37/34.21 | | | (19) e2 = e0
% 203.37/34.21 | | |
% 203.37/34.21 | | | COMBINE_EQS: (7), (19) imply:
% 203.37/34.21 | | | (20) all_58_2 = e0
% 203.37/34.21 | | |
% 203.37/34.21 | | | REF_CLOSE: (3), (4), (6), (8), (9), (11), (12), (14), (20) are
% 203.37/34.21 | | | inconsistent by sub-proof #924.
% 203.37/34.21 | | |
% 203.37/34.21 | | End of split
% 203.37/34.21 | |
% 203.37/34.21 | Case 2:
% 203.37/34.21 | |
% 203.37/34.21 | | (21) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.37/34.21 | | e2)
% 203.37/34.21 | |
% 203.37/34.21 | | BETA: splitting (21) gives:
% 203.37/34.21 | |
% 203.37/34.21 | | Case 1:
% 203.37/34.21 | | |
% 203.37/34.21 | | | (22) all_58_14 = e2 & op(e0, e1) = e2
% 203.37/34.21 | | |
% 203.37/34.21 | | | REF_CLOSE: (9), (10), (22) are inconsistent by sub-proof #1433.
% 203.37/34.21 | | |
% 203.37/34.21 | | Case 2:
% 203.37/34.21 | | |
% 203.37/34.21 | | | (23) all_58_15 = e2 & op(e0, e0) = e2
% 203.37/34.21 | | |
% 203.37/34.21 | | | REF_CLOSE: (1), (2), (23) are inconsistent by sub-proof #1651.
% 203.37/34.21 | | |
% 203.37/34.21 | | End of split
% 203.37/34.21 | |
% 203.37/34.21 | End of split
% 203.37/34.21 |
% 203.37/34.21 End of proof
% 203.37/34.21
% 203.37/34.21 Sub-proof #31 shows that the following formulas are inconsistent:
% 203.37/34.21 ----------------------------------------------------------------
% 203.37/34.21 (1) ~ (all_52_14 = e3)
% 203.37/34.21 (2) ~ (e3 = e0)
% 203.37/34.21 (3) op(e0, e2) = all_52_7
% 203.37/34.21 (4) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.37/34.21 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.37/34.21 (5) ~ (e3 = e2)
% 203.37/34.21 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.21 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.21 (7) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.21 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.37/34.21 (8) ~ (e3 = e1)
% 203.37/34.21 (9) op(e1, e0) = all_52_14
% 203.37/34.21 (10) all_58_7 = e2
% 203.37/34.21 (11) ~ (e1 = e0)
% 203.37/34.21 (12) all_58_1 = e3
% 203.37/34.21 (13) all_58_8 = e0
% 203.37/34.21 (14) ~ (e2 = e1)
% 203.37/34.21 (15) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.37/34.21 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.37/34.21 (16) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.37/34.21 (17) op(e2, e2) = e1
% 203.37/34.21 (18) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.37/34.21 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.37/34.21 (19) ~ (e2 = e0)
% 203.37/34.21 (20) ~ (all_52_7 = e3)
% 203.37/34.21
% 203.37/34.21 Begin of proof
% 203.37/34.21 |
% 203.37/34.21 | BETA: splitting (16) gives:
% 203.37/34.21 |
% 203.37/34.21 | Case 1:
% 203.37/34.21 | |
% 203.37/34.21 | | (21) all_58_8 = e3 & op(e1, e1) = e3
% 203.37/34.21 | |
% 203.37/34.21 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 203.37/34.21 | | (13), (14), (15), (17), (18), (19), (20), (21) are inconsistent
% 203.37/34.21 | | by sub-proof #32.
% 203.37/34.21 | |
% 203.37/34.21 | Case 2:
% 203.37/34.21 | |
% 203.37/34.21 | | (22) all_58_11 = e3 & op(e1, e0) = e3
% 203.37/34.21 | |
% 203.37/34.21 | | ALPHA: (22) implies:
% 203.37/34.21 | | (23) op(e1, e0) = e3
% 203.37/34.21 | |
% 203.37/34.21 | | REF_CLOSE: (1), (6), (9), (23) are inconsistent by sub-proof #1874.
% 203.37/34.21 | |
% 203.37/34.21 | End of split
% 203.37/34.21 |
% 203.37/34.21 End of proof
% 203.37/34.21
% 203.37/34.21 Sub-proof #32 shows that the following formulas are inconsistent:
% 203.37/34.21 ----------------------------------------------------------------
% 203.37/34.21 (1) ~ (all_52_14 = e3)
% 203.37/34.21 (2) all_58_8 = e3 & op(e1, e1) = e3
% 203.37/34.21 (3) ~ (e3 = e0)
% 203.37/34.21 (4) op(e0, e2) = all_52_7
% 203.37/34.21 (5) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.37/34.21 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.37/34.21 (6) ~ (e3 = e2)
% 203.37/34.21 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.21 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.21 (8) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.21 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.37/34.21 (9) ~ (e3 = e1)
% 203.37/34.21 (10) op(e1, e0) = all_52_14
% 203.37/34.21 (11) all_58_7 = e2
% 203.37/34.21 (12) ~ (e1 = e0)
% 203.37/34.21 (13) all_58_1 = e3
% 203.37/34.21 (14) all_58_8 = e0
% 203.37/34.21 (15) ~ (e2 = e1)
% 203.37/34.22 (16) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.37/34.22 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.37/34.22 (17) op(e2, e2) = e1
% 203.37/34.22 (18) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.37/34.22 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.37/34.22 (19) ~ (e2 = e0)
% 203.37/34.22 (20) ~ (all_52_7 = e3)
% 203.37/34.22
% 203.37/34.22 Begin of proof
% 203.37/34.22 |
% 203.37/34.22 | ALPHA: (2) implies:
% 203.37/34.22 | (21) all_58_8 = e3
% 203.37/34.22 |
% 203.37/34.22 | COMBINE_EQS: (14), (21) imply:
% 203.37/34.22 | (22) e3 = e0
% 203.37/34.22 |
% 203.37/34.22 | SIMP: (22) implies:
% 203.37/34.22 | (23) e3 = e0
% 203.37/34.22 |
% 203.37/34.22 | COMBINE_EQS: (13), (23) imply:
% 203.37/34.22 | (24) all_58_1 = e0
% 203.37/34.22 |
% 203.37/34.22 | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (15),
% 203.37/34.22 | (16), (17), (18), (19), (20), (21), (24) are inconsistent by
% 203.37/34.22 | sub-proof #458.
% 203.37/34.22 |
% 203.37/34.22 End of proof
% 203.37/34.22
% 203.37/34.22 Sub-proof #33 shows that the following formulas are inconsistent:
% 203.37/34.22 ----------------------------------------------------------------
% 203.37/34.22 (1) all_58_6 = e3 & op(e1, e3) = e3
% 203.37/34.22 (2) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.37/34.22 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.37/34.22 (3) op(e2, e3) = all_52_1
% 203.37/34.22 (4) ~ (e3 = e2)
% 203.37/34.22 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.22 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.22 (6) ~ (e3 = e1)
% 203.37/34.22 (7) ~ (all_52_13 = e3)
% 203.37/34.22 (8) ~ (all_34_1 = e0)
% 203.37/34.22 (9) ~ (all_52_13 = e1)
% 203.37/34.22 (10) op(e3, e3) = e0
% 203.37/34.22 (11) all_58_4 = e3
% 203.37/34.22 (12) all_54_4 = all_52_1
% 203.37/34.22 (13) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.37/34.22 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.37/34.22 (14) op(e2, e0) = all_52_13
% 203.37/34.22 (15) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 203.37/34.22 (16) ~ (all_34_1 = e2)
% 203.37/34.22 (17) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.22 (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) = e3)
% 203.37/34.22 (18) ~ (all_52_1 = e1)
% 203.37/34.22 (19) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.37/34.22 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.37/34.22 (20) all_58_3 = e1
% 203.37/34.22 (21) all_54_12 = all_34_1
% 203.37/34.22 (22) ~ (e1 = e0)
% 203.37/34.22 (23) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 203.37/34.22 (24) all_58_8 = e0
% 203.37/34.22 (25) ~ (all_52_9 = e1)
% 203.37/34.22 (26) ~ (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1, e3) = all_44_0 &
% 203.37/34.22 $i(all_44_0))
% 203.37/34.22 (27) all_44_1 = all_34_1
% 203.37/34.22 (28) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.22 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.22 (29) op(e2, e2) = e1
% 203.37/34.22 (30) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2) |
% 203.37/34.22 (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) = e2)
% 203.37/34.22 (31) ~ (e2 = e0)
% 203.37/34.22 (32) op(e2, e1) = all_52_9
% 203.37/34.22 (33) ~ (all_34_1 = e3)
% 203.37/34.22 (34) ~ (all_52_1 = e0)
% 203.37/34.22
% 203.37/34.22 Begin of proof
% 203.37/34.22 |
% 203.37/34.22 | ALPHA: (1) implies:
% 203.37/34.22 | (35) all_58_6 = e3
% 203.37/34.22 |
% 203.37/34.22 | BETA: splitting (19) gives:
% 203.37/34.22 |
% 203.37/34.22 | Case 1:
% 203.37/34.22 | |
% 203.37/34.22 | | (36) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) =
% 203.37/34.22 | | e1)
% 203.37/34.22 | |
% 203.37/34.22 | | REF_CLOSE: (5), (6), (11), (25), (32), (36) are inconsistent by sub-proof
% 203.37/34.22 | | #354.
% 203.37/34.22 | |
% 203.37/34.22 | Case 2:
% 203.37/34.22 | |
% 203.37/34.22 | | (37) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) =
% 203.37/34.22 | | e1)
% 203.37/34.22 | |
% 203.37/34.22 | | BETA: splitting (37) gives:
% 203.37/34.22 | |
% 203.37/34.22 | | Case 1:
% 203.37/34.22 | | |
% 203.37/34.22 | | | (38) all_58_8 = e1 & op(e1, e1) = e1
% 203.37/34.22 | | |
% 203.37/34.22 | | | ALPHA: (38) implies:
% 203.37/34.22 | | | (39) all_58_8 = e1
% 203.37/34.22 | | |
% 203.37/34.22 | | | COMBINE_EQS: (24), (39) imply:
% 203.37/34.22 | | | (40) e1 = e0
% 203.37/34.22 | | |
% 203.37/34.22 | | | REF_CLOSE: (3), (5), (9), (14), (18), (20), (22), (25), (28), (32), (40)
% 203.37/34.22 | | | are inconsistent by sub-proof #92.
% 203.37/34.22 | | |
% 203.37/34.22 | | Case 2:
% 203.37/34.22 | | |
% 203.37/34.22 | | | (41) all_58_14 = e1 & op(e0, e1) = e1
% 203.37/34.22 | | |
% 203.37/34.22 | | | ALPHA: (41) implies:
% 203.37/34.22 | | | (42) all_58_14 = e1
% 203.37/34.22 | | |
% 203.37/34.22 | | | BETA: splitting (15) gives:
% 203.37/34.22 | | |
% 203.37/34.22 | | | Case 1:
% 203.37/34.22 | | | |
% 203.37/34.22 | | | | (43) all_54_12 = e2
% 203.37/34.22 | | | |
% 203.37/34.22 | | | | REF_CLOSE: (16), (21), (43) are inconsistent by sub-proof #1683.
% 203.37/34.22 | | | |
% 203.37/34.22 | | | Case 2:
% 203.37/34.22 | | | |
% 203.37/34.22 | | | | (44) ~ (all_54_12 = e2)
% 203.37/34.22 | | | | (45) all_54_12 = e1 | all_54_12 = e0
% 203.37/34.22 | | | |
% 203.37/34.22 | | | | BETA: splitting (2) gives:
% 203.37/34.22 | | | |
% 203.37/34.22 | | | | Case 1:
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | | (46) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2,
% 203.37/34.22 | | | | | e3) = e1)
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | | REF_CLOSE: (3), (5), (10), (12), (18), (22), (23), (34), (46) are
% 203.37/34.22 | | | | | inconsistent by sub-proof #91.
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | Case 2:
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | | (47) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0,
% 203.37/34.22 | | | | | e3) = e1)
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | | BETA: splitting (47) gives:
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | | Case 1:
% 203.37/34.22 | | | | | |
% 203.37/34.22 | | | | | | (48) all_58_6 = e1 & op(e1, e3) = e1
% 203.37/34.22 | | | | | |
% 203.37/34.22 | | | | | | REF_CLOSE: (6), (35), (48) are inconsistent by sub-proof #1853.
% 203.37/34.22 | | | | | |
% 203.37/34.22 | | | | | Case 2:
% 203.37/34.22 | | | | | |
% 203.37/34.22 | | | | | | (49) all_58_12 = e1 & op(e0, e3) = e1
% 203.37/34.22 | | | | | |
% 203.37/34.22 | | | | | | ALPHA: (49) implies:
% 203.37/34.22 | | | | | | (50) all_58_12 = e1
% 203.37/34.22 | | | | | |
% 203.37/34.22 | | | | | | BETA: splitting (45) gives:
% 203.37/34.22 | | | | | |
% 203.37/34.22 | | | | | | Case 1:
% 203.37/34.22 | | | | | | |
% 203.37/34.22 | | | | | | | (51) all_54_12 = e1
% 203.37/34.22 | | | | | | |
% 203.37/34.22 | | | | | | | COMBINE_EQS: (21), (51) imply:
% 203.37/34.22 | | | | | | | (52) all_34_1 = e1
% 203.37/34.22 | | | | | | |
% 203.37/34.22 | | | | | | | SIMP: (52) implies:
% 203.37/34.22 | | | | | | | (53) all_34_1 = e1
% 203.37/34.22 | | | | | | |
% 203.37/34.22 | | | | | | | COMBINE_EQS: (27), (53) imply:
% 203.37/34.22 | | | | | | | (54) all_44_1 = e1
% 203.37/34.22 | | | | | | |
% 203.37/34.22 | | | | | | | REDUCE: (33), (53) imply:
% 203.37/34.22 | | | | | | | (55) ~ (e3 = e1)
% 203.37/34.22 | | | | | | |
% 203.37/34.22 | | | | | | | REDUCE: (16), (53) imply:
% 203.37/34.22 | | | | | | | (56) ~ (e2 = e1)
% 203.37/34.22 | | | | | | |
% 203.37/34.22 | | | | | | | SIMP: (56) implies:
% 203.37/34.22 | | | | | | | (57) ~ (e2 = e1)
% 203.37/34.22 | | | | | | |
% 203.37/34.22 | | | | | | | REF_CLOSE: (4), (5), (6), (7), (10), (11), (13), (14), (17), (24),
% 203.37/34.22 | | | | | | | (26), (29), (30), (31), (42), (50), (54), (57) are
% 203.37/34.22 | | | | | | | inconsistent by sub-proof #34.
% 203.37/34.22 | | | | | | |
% 203.37/34.22 | | | | | | Case 2:
% 203.37/34.22 | | | | | | |
% 203.37/34.22 | | | | | | | (58) all_54_12 = e0
% 203.37/34.22 | | | | | | |
% 203.37/34.22 | | | | | | | REF_CLOSE: (8), (21), (58) are inconsistent by sub-proof #1705.
% 203.37/34.22 | | | | | | |
% 203.37/34.22 | | | | | | End of split
% 203.37/34.22 | | | | | |
% 203.37/34.22 | | | | | End of split
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | End of split
% 203.37/34.22 | | | |
% 203.37/34.22 | | | End of split
% 203.37/34.22 | | |
% 203.37/34.22 | | End of split
% 203.37/34.22 | |
% 203.37/34.22 | End of split
% 203.37/34.22 |
% 203.37/34.22 End of proof
% 203.37/34.22
% 203.37/34.22 Sub-proof #34 shows that the following formulas are inconsistent:
% 203.37/34.22 ----------------------------------------------------------------
% 203.37/34.22 (1) ~ (e3 = e2)
% 203.37/34.22 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.22 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.22 (3) all_58_12 = e1
% 203.37/34.22 (4) ~ (e3 = e1)
% 203.37/34.22 (5) ~ (all_52_13 = e3)
% 203.37/34.22 (6) all_44_1 = e1
% 203.37/34.22 (7) op(e3, e3) = e0
% 203.37/34.22 (8) all_58_4 = e3
% 203.37/34.22 (9) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.37/34.22 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.37/34.22 (10) op(e2, e0) = all_52_13
% 203.37/34.22 (11) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.22 (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) = e3)
% 203.37/34.22 (12) all_58_8 = e0
% 203.37/34.22 (13) ~ (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1, e3) = all_44_0 &
% 203.37/34.22 $i(all_44_0))
% 203.37/34.22 (14) ~ (e2 = e1)
% 203.37/34.22 (15) op(e2, e2) = e1
% 203.37/34.22 (16) all_58_14 = e1
% 203.37/34.22 (17) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2) |
% 203.37/34.22 (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) = e2)
% 203.37/34.22 (18) ~ (e2 = e0)
% 203.37/34.22
% 203.37/34.22 Begin of proof
% 203.37/34.22 |
% 203.37/34.22 | BETA: splitting (9) gives:
% 203.37/34.22 |
% 203.37/34.22 | Case 1:
% 203.37/34.22 | |
% 203.37/34.22 | | (19) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) =
% 203.37/34.22 | | e2)
% 203.37/34.22 | |
% 203.37/34.22 | | BETA: splitting (19) gives:
% 203.37/34.22 | |
% 203.37/34.22 | | Case 1:
% 203.37/34.22 | | |
% 203.37/34.22 | | | (20) all_58_4 = e2 & op(e3, e1) = e2
% 203.37/34.22 | | |
% 203.37/34.22 | | | ALPHA: (20) implies:
% 203.37/34.22 | | | (21) all_58_4 = e2
% 203.37/34.22 | | |
% 203.37/34.22 | | | REF_CLOSE: (1), (8), (21) are inconsistent by sub-proof #1002.
% 203.37/34.22 | | |
% 203.37/34.22 | | Case 2:
% 203.37/34.22 | | |
% 203.37/34.22 | | | (22) all_58_5 = e2 & op(e2, e1) = e2
% 203.37/34.22 | | |
% 203.37/34.22 | | | ALPHA: (22) implies:
% 203.37/34.22 | | | (23) all_58_5 = e2
% 203.37/34.22 | | |
% 203.37/34.22 | | | BETA: splitting (11) gives:
% 203.37/34.22 | | |
% 203.37/34.22 | | | Case 1:
% 203.37/34.22 | | | |
% 203.37/34.22 | | | | (24) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2)
% 203.37/34.22 | | | | = e3)
% 203.37/34.22 | | | |
% 203.37/34.22 | | | | BETA: splitting (24) gives:
% 203.37/34.22 | | | |
% 203.37/34.22 | | | | Case 1:
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | | (25) all_58_2 = e3 & op(e2, e3) = e3
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | | ALPHA: (25) implies:
% 203.37/34.22 | | | | | (26) all_58_2 = e3
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | | REF_CLOSE: (1), (2), (3), (6), (7), (13), (14), (17), (18), (26) are
% 203.37/34.22 | | | | | inconsistent by sub-proof #434.
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | Case 2:
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | | (27) all_58_3 = e3 & op(e2, e2) = e3
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | | ALPHA: (27) implies:
% 203.37/34.22 | | | | | (28) op(e2, e2) = e3
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | | REF_CLOSE: (2), (4), (15), (28) are inconsistent by sub-proof #1029.
% 203.37/34.22 | | | | |
% 203.37/34.22 | | | | End of split
% 203.37/34.22 | | | |
% 203.37/34.22 | | | Case 2:
% 203.37/34.22 | | | |
% 203.37/34.22 | | | | (29) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0)
% 203.37/34.22 | | | | = e3)
% 203.37/34.22 | | | |
% 203.37/34.22 | | | | REF_CLOSE: (1), (2), (5), (10), (23), (29) are inconsistent by sub-proof
% 203.37/34.22 | | | | #541.
% 203.37/34.22 | | | |
% 203.37/34.22 | | | End of split
% 203.37/34.22 | | |
% 203.37/34.22 | | End of split
% 203.37/34.22 | |
% 203.37/34.22 | Case 2:
% 203.37/34.22 | |
% 203.37/34.22 | | (30) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) =
% 203.37/34.22 | | e2)
% 203.37/34.22 | |
% 203.37/34.22 | | BETA: splitting (30) gives:
% 203.37/34.22 | |
% 203.37/34.22 | | Case 1:
% 203.37/34.22 | | |
% 203.37/34.22 | | | (31) all_58_8 = e2 & op(e1, e1) = e2
% 203.37/34.22 | | |
% 203.37/34.22 | | | REF_CLOSE: (12), (18), (31) are inconsistent by sub-proof #219.
% 203.37/34.22 | | |
% 203.37/34.22 | | Case 2:
% 203.37/34.22 | | |
% 203.37/34.22 | | | (32) all_58_14 = e2 & op(e0, e1) = e2
% 203.37/34.22 | | |
% 203.37/34.22 | | | REF_CLOSE: (14), (16), (32) are inconsistent by sub-proof #1433.
% 203.37/34.22 | | |
% 203.37/34.22 | | End of split
% 203.37/34.22 | |
% 203.37/34.22 | End of split
% 203.37/34.22 |
% 203.37/34.22 End of proof
% 203.37/34.22
% 203.37/34.22 Sub-proof #35 shows that the following formulas are inconsistent:
% 203.37/34.22 ----------------------------------------------------------------
% 203.37/34.22 (1) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.22 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.37/34.22 (2) ~ (all_52_14 = e3)
% 203.37/34.22 (3) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.37/34.22 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.22 (4) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.37/34.22 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.37/34.22 (5) ~ (e3 = e0)
% 203.37/34.22 (6) op(e2, e2) = all_6_2
% 203.37/34.22 (7) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.37/34.22 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.37/34.22 (8) op(e1, e2) = all_52_6
% 203.37/34.22 (9) op(e2, e3) = all_52_1
% 203.37/34.22 (10) op(e0, e2) = all_52_7
% 203.37/34.22 (11) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.37/34.22 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.37/34.22 (12) ~ (e3 = e2)
% 203.37/34.22 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.22 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.22 (14) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.22 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.37/34.22 (15) all_58_14 = e3
% 203.37/34.22 (16) ~ (e3 = e1)
% 203.37/34.22 (17) ~ (all_52_12 = e3)
% 203.37/34.22 (18) ~ (all_52_6 = e0)
% 203.37/34.22 (19) ~ (all_52_13 = e3)
% 203.37/34.22 (20) op(e1, e0) = all_52_14
% 203.37/34.22 (21) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.22 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.37/34.22 (22) ~ (all_52_13 = e1)
% 203.37/34.22 (23) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.37/34.22 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.37/34.22 (24) ~ (all_14_2 = e3)
% 203.37/34.22 (25) op(e2, e0) = all_52_13
% 203.37/34.22 (26) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.37/34.22 | (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 & op(e0, e0) =
% 203.37/34.22 e1)
% 203.37/34.22 (27) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.22 (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) = e3)
% 203.37/34.22 (28) ~ (all_52_1 = e1)
% 203.37/34.22 (29) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.37/34.22 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.37/34.22 (30) all_58_3 = e1
% 203.37/34.22 (31) ~ (e1 = e0)
% 203.37/34.22 (32) all_58_8 = e0
% 203.37/34.22 (33) ~ (all_52_9 = e1)
% 203.37/34.22 (34) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.22 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.22 (35) ~ (e2 = e1)
% 203.37/34.22 (36) op(e3, e0) = all_10_1
% 203.37/34.22 (37) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.37/34.22 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.37/34.22 (38) op(e3, e3) = all_14_2
% 203.37/34.22 (39) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.37/34.22 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.37/34.22 (40) op(e2, e2) = e1
% 203.37/34.22 (41) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.37/34.22 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.37/34.22 (42) op(e0, e0) = e3
% 203.37/34.22 (43) op(e3, e0) = all_52_12
% 203.37/34.22 (44) ~ (e2 = e0)
% 203.37/34.22 (45) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.22 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.37/34.22 e2)
% 203.37/34.22 (46) ~ (all_52_7 = e3)
% 203.37/34.22 (47) op(e2, e1) = all_52_9
% 203.37/34.22 (48) ~ (all_6_2 = e2)
% 203.37/34.22 (49) op(e3, e0) = all_24_1
% 203.37/34.22 (50) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) = e3) |
% 203.37/34.22 (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0, e0) = e3)
% 203.37/34.22
% 203.37/34.22 Begin of proof
% 203.37/34.22 |
% 203.37/34.22 | BETA: splitting (29) gives:
% 203.37/34.22 |
% 203.37/34.22 | Case 1:
% 203.37/34.22 | |
% 203.37/34.22 | | (51) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) =
% 203.37/34.22 | | e1)
% 203.37/34.22 | |
% 203.37/34.22 | | BETA: splitting (51) gives:
% 203.37/34.22 | |
% 203.37/34.22 | | Case 1:
% 203.37/34.22 | | |
% 203.37/34.22 | | | (52) all_58_4 = e1 & op(e3, e1) = e1
% 203.37/34.22 | | |
% 203.37/34.22 | | | ALPHA: (52) implies:
% 203.37/34.22 | | | (53) all_58_4 = e1
% 203.37/34.22 | | |
% 203.37/34.22 | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 203.37/34.22 | | | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 203.37/34.22 | | | (23), (24), (25), (26), (27), (28), (31), (32), (33), (34),
% 203.37/34.22 | | | (35), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 203.37/34.22 | | | (45), (46), (47), (48), (49), (50), (53) are inconsistent by
% 203.37/34.22 | | | sub-proof #36.
% 203.37/34.22 | | |
% 203.37/34.22 | | Case 2:
% 203.37/34.22 | | |
% 203.37/34.22 | | | (54) all_58_5 = e1 & op(e2, e1) = e1
% 203.37/34.22 | | |
% 203.37/34.22 | | | ALPHA: (54) implies:
% 203.37/34.22 | | | (55) op(e2, e1) = e1
% 203.37/34.22 | | |
% 203.37/34.22 | | | REF_CLOSE: (13), (33), (47), (55) are inconsistent by sub-proof #467.
% 203.37/34.22 | | |
% 203.37/34.22 | | End of split
% 203.37/34.22 | |
% 203.37/34.22 | Case 2:
% 203.37/34.22 | |
% 203.37/34.22 | | (56) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) =
% 203.37/34.22 | | e1)
% 203.37/34.22 | |
% 203.37/34.22 | | REF_CLOSE: (9), (13), (15), (16), (22), (25), (28), (30), (31), (32), (33),
% 203.37/34.22 | | (34), (47), (56) are inconsistent by sub-proof #43.
% 203.37/34.22 | |
% 203.37/34.22 | End of split
% 203.37/34.22 |
% 203.37/34.22 End of proof
% 203.37/34.22
% 203.37/34.22 Sub-proof #36 shows that the following formulas are inconsistent:
% 203.37/34.22 ----------------------------------------------------------------
% 203.37/34.22 (1) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.22 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.37/34.22 (2) ~ (all_52_14 = e3)
% 203.37/34.22 (3) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.37/34.22 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.22 (4) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.37/34.22 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.37/34.22 (5) ~ (e3 = e0)
% 203.37/34.22 (6) op(e2, e2) = all_6_2
% 203.37/34.22 (7) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.37/34.22 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.37/34.22 (8) op(e1, e2) = all_52_6
% 203.37/34.22 (9) op(e2, e3) = all_52_1
% 203.37/34.22 (10) op(e0, e2) = all_52_7
% 203.37/34.22 (11) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.37/34.22 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.37/34.22 (12) ~ (e3 = e2)
% 203.37/34.22 (13) all_58_4 = e1
% 203.37/34.22 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.22 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.22 (15) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.22 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.37/34.22 (16) all_58_14 = e3
% 203.37/34.22 (17) ~ (e3 = e1)
% 203.37/34.22 (18) ~ (all_52_12 = e3)
% 203.37/34.22 (19) ~ (all_52_6 = e0)
% 203.37/34.22 (20) ~ (all_52_13 = e3)
% 203.37/34.22 (21) op(e1, e0) = all_52_14
% 203.37/34.22 (22) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.22 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.37/34.22 (23) ~ (all_52_13 = e1)
% 203.37/34.22 (24) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.37/34.22 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.37/34.22 (25) ~ (all_14_2 = e3)
% 203.37/34.22 (26) op(e2, e0) = all_52_13
% 203.37/34.22 (27) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.37/34.22 | (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 & op(e0, e0) =
% 203.37/34.22 e1)
% 203.37/34.22 (28) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.22 (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) = e3)
% 203.37/34.22 (29) ~ (all_52_1 = e1)
% 203.37/34.22 (30) ~ (e1 = e0)
% 203.37/34.22 (31) all_58_8 = e0
% 203.37/34.22 (32) ~ (all_52_9 = e1)
% 203.37/34.22 (33) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.22 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.22 (34) ~ (e2 = e1)
% 203.37/34.22 (35) op(e3, e0) = all_10_1
% 203.37/34.22 (36) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.37/34.22 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.37/34.22 (37) op(e3, e3) = all_14_2
% 203.37/34.22 (38) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.37/34.22 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.37/34.22 (39) op(e2, e2) = e1
% 203.37/34.22 (40) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.37/34.22 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.37/34.22 (41) op(e0, e0) = e3
% 203.37/34.22 (42) op(e3, e0) = all_52_12
% 203.37/34.22 (43) ~ (e2 = e0)
% 203.37/34.22 (44) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.22 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.37/34.22 e2)
% 203.37/34.22 (45) ~ (all_52_7 = e3)
% 203.37/34.22 (46) op(e2, e1) = all_52_9
% 203.37/34.22 (47) ~ (all_6_2 = e2)
% 203.37/34.22 (48) op(e3, e0) = all_24_1
% 203.37/34.22 (49) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) = e3) |
% 203.37/34.22 (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0, e0) = e3)
% 203.37/34.22
% 203.37/34.22 Begin of proof
% 203.37/34.22 |
% 203.37/34.22 | BETA: splitting (24) gives:
% 203.37/34.22 |
% 203.37/34.22 | Case 1:
% 203.37/34.22 | |
% 203.37/34.22 | | (50) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) =
% 203.37/34.22 | | e2)
% 203.37/34.22 | |
% 203.37/34.22 | | BETA: splitting (50) gives:
% 203.37/34.22 | |
% 203.37/34.22 | | Case 1:
% 203.37/34.22 | | |
% 203.37/34.22 | | | (51) all_58_4 = e2 & op(e3, e1) = e2
% 203.37/34.22 | | |
% 203.37/34.22 | | | ALPHA: (51) implies:
% 203.37/34.22 | | | (52) all_58_4 = e2
% 203.37/34.22 | | |
% 203.37/34.22 | | | REF_CLOSE: (13), (34), (52) are inconsistent by sub-proof #1647.
% 203.37/34.22 | | |
% 203.37/34.22 | | Case 2:
% 203.37/34.22 | | |
% 203.37/34.22 | | | (53) all_58_5 = e2 & op(e2, e1) = e2
% 203.37/34.22 | | |
% 203.37/34.22 | | | ALPHA: (53) implies:
% 203.37/34.23 | | | (54) all_58_5 = e2
% 203.37/34.23 | | |
% 203.37/34.23 | | | BETA: splitting (28) gives:
% 203.37/34.23 | | |
% 203.37/34.23 | | | Case 1:
% 203.37/34.23 | | | |
% 203.37/34.23 | | | | (55) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2)
% 203.37/34.23 | | | | = e3)
% 203.37/34.23 | | | |
% 203.37/34.23 | | | | BETA: splitting (55) gives:
% 203.37/34.23 | | | |
% 203.37/34.23 | | | | Case 1:
% 203.37/34.23 | | | | |
% 203.37/34.23 | | | | | (56) all_58_2 = e3 & op(e2, e3) = e3
% 203.37/34.23 | | | | |
% 203.37/34.23 | | | | | ALPHA: (56) implies:
% 203.37/34.23 | | | | | (57) all_58_2 = e3
% 203.37/34.23 | | | | |
% 203.37/34.23 | | | | | BETA: splitting (7) gives:
% 203.37/34.23 | | | | |
% 203.37/34.23 | | | | | Case 1:
% 203.37/34.23 | | | | | |
% 203.37/34.23 | | | | | | (58) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3,
% 203.37/34.23 | | | | | | e2) = e3)
% 203.37/34.23 | | | | | |
% 203.37/34.23 | | | | | | BETA: splitting (58) gives:
% 203.37/34.23 | | | | | |
% 203.37/34.23 | | | | | | Case 1:
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | | (59) all_58_0 = e3 & op(e3, e3) = e3
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | | REF_CLOSE: (14), (25), (37), (59) are inconsistent by sub-proof
% 203.37/34.23 | | | | | | | #1415.
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | Case 2:
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | | (60) all_58_1 = e3 & op(e3, e2) = e3
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | | ALPHA: (60) implies:
% 203.37/34.23 | | | | | | | (61) all_58_1 = e3
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | | BETA: splitting (22) gives:
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | | Case 1:
% 203.37/34.23 | | | | | | | |
% 203.37/34.23 | | | | | | | | (62) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 &
% 203.37/34.23 | | | | | | | | op(e2, e2) = e0)
% 203.37/34.23 | | | | | | | |
% 203.37/34.23 | | | | | | | | REF_CLOSE: (5), (9), (14), (23), (26), (29), (30), (32), (33),
% 203.37/34.23 | | | | | | | | (46), (61), (62) are inconsistent by sub-proof #39.
% 203.37/34.23 | | | | | | | |
% 203.37/34.23 | | | | | | | Case 2:
% 203.37/34.23 | | | | | | | |
% 203.37/34.23 | | | | | | | | (63) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 &
% 203.37/34.23 | | | | | | | | op(e0, e2) = e0)
% 203.37/34.23 | | | | | | | |
% 203.37/34.23 | | | | | | | | BETA: splitting (63) gives:
% 203.37/34.23 | | | | | | | |
% 203.37/34.23 | | | | | | | | Case 1:
% 203.37/34.23 | | | | | | | | |
% 203.37/34.23 | | | | | | | | | (64) all_58_7 = e0 & op(e1, e2) = e0
% 203.37/34.23 | | | | | | | | |
% 203.37/34.23 | | | | | | | | | ALPHA: (64) implies:
% 203.37/34.23 | | | | | | | | | (65) op(e1, e2) = e0
% 203.37/34.23 | | | | | | | | |
% 203.37/34.23 | | | | | | | | | REF_CLOSE: (8), (14), (19), (65) are inconsistent by sub-proof
% 203.37/34.23 | | | | | | | | | #274.
% 203.37/34.23 | | | | | | | | |
% 203.37/34.23 | | | | | | | | Case 2:
% 203.37/34.23 | | | | | | | | |
% 203.37/34.23 | | | | | | | | | (66) all_58_13 = e0 & op(e0, e2) = e0
% 203.37/34.23 | | | | | | | | |
% 203.37/34.23 | | | | | | | | | ALPHA: (66) implies:
% 203.37/34.23 | | | | | | | | | (67) all_58_13 = e0
% 203.37/34.23 | | | | | | | | |
% 203.37/34.23 | | | | | | | | | BETA: splitting (44) gives:
% 203.37/34.23 | | | | | | | | |
% 203.37/34.23 | | | | | | | | | Case 1:
% 203.37/34.23 | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | (68) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2
% 203.37/34.23 | | | | | | | | | | & op(e0, e2) = e2)
% 203.37/34.23 | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | BETA: splitting (68) gives:
% 203.37/34.23 | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | Case 1:
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | (69) all_58_12 = e2 & op(e0, e3) = e2
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | ALPHA: (69) implies:
% 203.37/34.23 | | | | | | | | | | | (70) all_58_12 = e2
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | BETA: splitting (3) gives:
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | Case 1:
% 203.37/34.23 | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | (71) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 203.37/34.23 | | | | | | | | | | | | & op(e2, e2) = e2)
% 203.37/34.23 | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | BETA: splitting (71) gives:
% 203.37/34.23 | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | Case 1:
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | (72) all_58_1 = e2 & op(e3, e2) = e2
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | ALPHA: (72) implies:
% 203.37/34.23 | | | | | | | | | | | | | (73) all_58_1 = e2
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | COMBINE_EQS: (61), (73) imply:
% 203.37/34.23 | | | | | | | | | | | | | (74) e3 = e2
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | COMBINE_EQS: (16), (74) imply:
% 203.37/34.23 | | | | | | | | | | | | | (75) all_58_14 = e2
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | REF_CLOSE: (14), (17), (27), (30), (34), (41), (67), (70),
% 203.37/34.23 | | | | | | | | | | | | | (75) are inconsistent by sub-proof #366.
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | Case 2:
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | (76) all_58_3 = e2 & op(e2, e2) = e2
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | REF_CLOSE: (6), (14), (47), (76) are inconsistent by
% 203.37/34.23 | | | | | | | | | | | | | sub-proof #624.
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | End of split
% 203.37/34.23 | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | Case 2:
% 203.37/34.23 | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | (77) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 203.37/34.23 | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 203.37/34.23 | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | BETA: splitting (77) gives:
% 203.37/34.23 | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | Case 1:
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | (78) all_58_7 = e2 & op(e1, e2) = e2
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | ALPHA: (78) implies:
% 203.37/34.23 | | | | | | | | | | | | | (79) all_58_7 = e2
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | BETA: splitting (38) gives:
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | Case 1:
% 203.37/34.23 | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | (80) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 203.37/34.23 | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 203.37/34.23 | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | BETA: splitting (80) gives:
% 203.37/34.23 | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | Case 1:
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | (81) all_58_6 = e3 & op(e1, e3) = e3
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | ALPHA: (81) implies:
% 203.37/34.23 | | | | | | | | | | | | | | | (82) all_58_6 = e3
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (14), (17), (30), (34), (36), (43),
% 203.37/34.23 | | | | | | | | | | | | | | | (57), (70), (82) are inconsistent by sub-proof
% 203.37/34.23 | | | | | | | | | | | | | | | #580.
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | Case 2:
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | (83) all_58_7 = e3 & op(e1, e2) = e3
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | ALPHA: (83) implies:
% 203.37/34.23 | | | | | | | | | | | | | | | (84) all_58_7 = e3
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | COMBINE_EQS: (79), (84) imply:
% 203.37/34.23 | | | | | | | | | | | | | | | (85) e3 = e2
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | COMBINE_EQS: (16), (85) imply:
% 203.37/34.23 | | | | | | | | | | | | | | | (86) all_58_14 = e2
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | REF_CLOSE: (14), (17), (27), (30), (34), (41), (67), (70),
% 203.37/34.23 | | | | | | | | | | | | | | | (86) are inconsistent by sub-proof #366.
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | End of split
% 203.37/34.23 | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | Case 2:
% 203.37/34.23 | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | (87) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 203.37/34.23 | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 203.37/34.23 | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 203.37/34.23 | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | Case 1:
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | (88) all_58_8 = e3 & op(e1, e1) = e3
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | ALPHA: (88) implies:
% 203.37/34.23 | | | | | | | | | | | | | | | (89) all_58_8 = e3
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | COMBINE_EQS: (31), (89) imply:
% 203.37/34.23 | | | | | | | | | | | | | | | (90) e3 = e0
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | COMBINE_EQS: (61), (90) imply:
% 203.37/34.23 | | | | | | | | | | | | | | | (91) all_58_1 = e0
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (10), (11), (12), (14), (15), (17),
% 203.37/34.23 | | | | | | | | | | | | | | | (21), (30), (34), (38), (39), (40), (43), (45),
% 203.37/34.23 | | | | | | | | | | | | | | | (79), (89), (91) are inconsistent by sub-proof
% 203.37/34.23 | | | | | | | | | | | | | | | #458.
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | Case 2:
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | (92) all_58_11 = e3 & op(e1, e0) = e3
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | ALPHA: (92) implies:
% 203.37/34.23 | | | | | | | | | | | | | | | (93) op(e1, e0) = e3
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | | REF_CLOSE: (2), (14), (21), (93) are inconsistent by
% 203.37/34.23 | | | | | | | | | | | | | | | sub-proof #1874.
% 203.37/34.23 | | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | | End of split
% 203.37/34.23 | | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | End of split
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | Case 2:
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | (94) all_58_13 = e2 & op(e0, e2) = e2
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | ALPHA: (94) implies:
% 203.37/34.23 | | | | | | | | | | | | | (95) all_58_13 = e2
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | | REF_CLOSE: (43), (67), (95) are inconsistent by sub-proof
% 203.37/34.23 | | | | | | | | | | | | | #1372.
% 203.37/34.23 | | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | | End of split
% 203.37/34.23 | | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | End of split
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | Case 2:
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | (96) all_58_13 = e2 & op(e0, e2) = e2
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | ALPHA: (96) implies:
% 203.37/34.23 | | | | | | | | | | | (97) all_58_13 = e2
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | REF_CLOSE: (43), (67), (97) are inconsistent by sub-proof
% 203.37/34.23 | | | | | | | | | | | #1372.
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | End of split
% 203.37/34.23 | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | Case 2:
% 203.37/34.23 | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | (98) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2
% 203.37/34.23 | | | | | | | | | | & op(e0, e0) = e2)
% 203.37/34.23 | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | BETA: splitting (98) gives:
% 203.37/34.23 | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | Case 1:
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | (99) all_58_14 = e2 & op(e0, e1) = e2
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | REF_CLOSE: (12), (16), (99) are inconsistent by sub-proof
% 203.37/34.23 | | | | | | | | | | | #823.
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | Case 2:
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | (100) all_58_15 = e2 & op(e0, e0) = e2
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | ALPHA: (100) implies:
% 203.37/34.23 | | | | | | | | | | | (101) all_58_15 = e2
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (12), (14), (17), (18), (21), (30),
% 203.37/34.23 | | | | | | | | | | | (33), (34), (35), (42), (43), (48), (49), (54),
% 203.37/34.23 | | | | | | | | | | | (57), (101) are inconsistent by sub-proof #38.
% 203.37/34.23 | | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | | End of split
% 203.37/34.23 | | | | | | | | | |
% 203.37/34.23 | | | | | | | | | End of split
% 203.37/34.23 | | | | | | | | |
% 203.37/34.23 | | | | | | | | End of split
% 203.37/34.23 | | | | | | | |
% 203.37/34.23 | | | | | | | End of split
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | End of split
% 203.37/34.23 | | | | | |
% 203.37/34.23 | | | | | Case 2:
% 203.37/34.23 | | | | | |
% 203.37/34.23 | | | | | | (102) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3,
% 203.37/34.23 | | | | | | e0) = e3)
% 203.37/34.23 | | | | | |
% 203.37/34.23 | | | | | | BETA: splitting (102) gives:
% 203.37/34.23 | | | | | |
% 203.37/34.23 | | | | | | Case 1:
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | | (103) all_58_4 = e3 & op(e3, e1) = e3
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | | REF_CLOSE: (13), (17), (103) are inconsistent by sub-proof #906.
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | Case 2:
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | | (104) all_58_9 = e3 & op(e3, e0) = e3
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | | ALPHA: (104) implies:
% 203.37/34.23 | | | | | | | (105) op(e3, e0) = e3
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | | REF_CLOSE: (14), (18), (35), (42), (48), (105) are inconsistent by
% 203.37/34.23 | | | | | | | sub-proof #1035.
% 203.37/34.23 | | | | | | |
% 203.37/34.23 | | | | | | End of split
% 203.37/34.23 | | | | | |
% 203.37/34.23 | | | | | End of split
% 203.37/34.23 | | | | |
% 203.37/34.23 | | | | Case 2:
% 203.37/34.23 | | | | |
% 203.37/34.23 | | | | | (106) all_58_3 = e3 & op(e2, e2) = e3
% 203.37/34.23 | | | | |
% 203.37/34.23 | | | | | ALPHA: (106) implies:
% 203.37/34.23 | | | | | (107) op(e2, e2) = e3
% 203.37/34.23 | | | | |
% 203.37/34.23 | | | | | REF_CLOSE: (14), (17), (39), (107) are inconsistent by sub-proof
% 203.37/34.23 | | | | | #1029.
% 203.37/34.23 | | | | |
% 203.37/34.23 | | | | End of split
% 203.37/34.23 | | | |
% 203.37/34.23 | | | Case 2:
% 203.37/34.23 | | | |
% 203.37/34.23 | | | | (108) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2,
% 203.37/34.23 | | | | e0) = e3)
% 203.37/34.23 | | | |
% 203.37/34.23 | | | | REF_CLOSE: (12), (14), (20), (26), (54), (108) are inconsistent by
% 203.37/34.23 | | | | sub-proof #37.
% 203.37/34.23 | | | |
% 203.37/34.23 | | | End of split
% 203.37/34.23 | | |
% 203.37/34.23 | | End of split
% 203.37/34.23 | |
% 203.37/34.23 | Case 2:
% 203.37/34.23 | |
% 203.37/34.23 | | (109) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) =
% 203.37/34.23 | | e2)
% 203.37/34.23 | |
% 203.37/34.23 | | BETA: splitting (109) gives:
% 203.37/34.23 | |
% 203.37/34.23 | | Case 1:
% 203.37/34.23 | | |
% 203.37/34.23 | | | (110) all_58_8 = e2 & op(e1, e1) = e2
% 203.37/34.23 | | |
% 203.37/34.23 | | | REF_CLOSE: (31), (43), (110) are inconsistent by sub-proof #219.
% 203.37/34.23 | | |
% 203.37/34.23 | | Case 2:
% 203.37/34.23 | | |
% 203.37/34.23 | | | (111) all_58_14 = e2 & op(e0, e1) = e2
% 203.37/34.23 | | |
% 203.37/34.23 | | | REF_CLOSE: (12), (16), (111) are inconsistent by sub-proof #823.
% 203.37/34.23 | | |
% 203.37/34.23 | | End of split
% 203.37/34.23 | |
% 203.37/34.23 | End of split
% 203.37/34.23 |
% 203.37/34.23 End of proof
% 203.37/34.23
% 203.37/34.23 Sub-proof #37 shows that the following formulas are inconsistent:
% 203.37/34.23 ----------------------------------------------------------------
% 203.37/34.23 (1) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) = e3)
% 203.37/34.23 (2) ~ (e3 = e2)
% 203.37/34.23 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.23 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.23 (4) ~ (all_52_13 = e3)
% 203.37/34.23 (5) all_58_5 = e2
% 203.37/34.23 (6) op(e2, e0) = all_52_13
% 203.37/34.23
% 203.37/34.23 Begin of proof
% 203.37/34.23 |
% 203.37/34.23 | BETA: splitting (1) gives:
% 203.37/34.23 |
% 203.37/34.23 | Case 1:
% 203.37/34.23 | |
% 203.37/34.23 | | (7) all_58_5 = e3 & op(e2, e1) = e3
% 203.37/34.23 | |
% 203.37/34.23 | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #999.
% 203.37/34.23 | |
% 203.37/34.23 | Case 2:
% 203.37/34.23 | |
% 203.37/34.23 | | (8) all_58_10 = e3 & op(e2, e0) = e3
% 203.37/34.23 | |
% 203.37/34.23 | | ALPHA: (8) implies:
% 203.37/34.23 | | (9) op(e2, e0) = e3
% 203.37/34.23 | |
% 203.37/34.23 | | REF_CLOSE: (3), (4), (6), (9) are inconsistent by sub-proof #1400.
% 203.37/34.23 | |
% 203.37/34.23 | End of split
% 203.37/34.23 |
% 203.37/34.23 End of proof
% 203.37/34.23
% 203.37/34.23 Sub-proof #38 shows that the following formulas are inconsistent:
% 203.37/34.23 ----------------------------------------------------------------
% 203.37/34.23 (1) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.23 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.37/34.23 (2) ~ (all_52_14 = e3)
% 203.37/34.23 (3) ~ (e3 = e0)
% 203.37/34.23 (4) ~ (e3 = e2)
% 203.37/34.23 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.23 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.23 (6) ~ (e3 = e1)
% 203.37/34.23 (7) ~ (all_52_12 = e3)
% 203.37/34.23 (8) op(e1, e0) = all_52_14
% 203.37/34.23 (9) all_58_5 = e2
% 203.37/34.23 (10) ~ (e1 = e0)
% 203.37/34.23 (11) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.23 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.23 (12) ~ (e2 = e1)
% 203.37/34.23 (13) op(e3, e0) = all_10_1
% 203.37/34.23 (14) op(e3, e0) = all_52_12
% 203.37/34.23 (15) ~ (e2 = e0)
% 203.37/34.23 (16) all_58_15 = e2
% 203.37/34.23 (17) all_58_2 = e3
% 203.37/34.23 (18) op(e3, e0) = all_24_1
% 203.37/34.23 (19) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) = e3) |
% 203.37/34.23 (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0, e0) = e3)
% 203.37/34.23
% 203.37/34.23 Begin of proof
% 203.37/34.23 |
% 203.37/34.23 | BETA: splitting (19) gives:
% 203.37/34.23 |
% 203.37/34.23 | Case 1:
% 203.37/34.23 | |
% 203.37/34.23 | | (20) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) =
% 203.37/34.23 | | e3)
% 203.37/34.23 | |
% 203.37/34.23 | | BETA: splitting (20) gives:
% 203.37/34.23 | |
% 203.37/34.23 | | Case 1:
% 203.37/34.23 | | |
% 203.37/34.23 | | | (21) all_58_9 = e3 & op(e3, e0) = e3
% 203.37/34.23 | | |
% 203.37/34.23 | | | ALPHA: (21) implies:
% 203.37/34.23 | | | (22) op(e3, e0) = e3
% 203.37/34.23 | | |
% 203.37/34.23 | | | REF_CLOSE: (5), (7), (13), (14), (18), (22) are inconsistent by sub-proof
% 203.37/34.23 | | | #1035.
% 203.37/34.23 | | |
% 203.37/34.23 | | Case 2:
% 203.37/34.23 | | |
% 203.37/34.23 | | | (23) all_58_10 = e3 & op(e2, e0) = e3
% 203.37/34.23 | | |
% 203.37/34.23 | | | ALPHA: (23) implies:
% 203.37/34.23 | | | (24) all_58_10 = e3
% 203.37/34.23 | | |
% 203.37/34.23 | | | REF_CLOSE: (1), (3), (6), (9), (10), (11), (12), (15), (17), (24) are
% 203.37/34.23 | | | inconsistent by sub-proof #877.
% 203.37/34.23 | | |
% 203.37/34.23 | | End of split
% 203.37/34.23 | |
% 203.37/34.23 | Case 2:
% 203.37/34.23 | |
% 203.37/34.23 | | (25) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0, e0) =
% 203.37/34.23 | | e3)
% 203.37/34.23 | |
% 203.37/34.23 | | BETA: splitting (25) gives:
% 203.37/34.23 | |
% 203.37/34.23 | | Case 1:
% 203.37/34.23 | | |
% 203.37/34.23 | | | (26) all_58_11 = e3 & op(e1, e0) = e3
% 203.37/34.23 | | |
% 203.37/34.23 | | | ALPHA: (26) implies:
% 203.37/34.23 | | | (27) op(e1, e0) = e3
% 203.37/34.23 | | |
% 203.37/34.23 | | | REF_CLOSE: (2), (5), (8), (27) are inconsistent by sub-proof #1874.
% 203.37/34.23 | | |
% 203.37/34.23 | | Case 2:
% 203.37/34.23 | | |
% 203.37/34.23 | | | (28) all_58_15 = e3 & op(e0, e0) = e3
% 203.37/34.23 | | |
% 203.37/34.23 | | | REF_CLOSE: (4), (16), (28) are inconsistent by sub-proof #1824.
% 203.37/34.23 | | |
% 203.37/34.23 | | End of split
% 203.37/34.23 | |
% 203.37/34.23 | End of split
% 203.37/34.23 |
% 203.37/34.23 End of proof
% 203.37/34.23
% 203.37/34.23 Sub-proof #39 shows that the following formulas are inconsistent:
% 203.37/34.23 ----------------------------------------------------------------
% 203.37/34.23 (1) ~ (e3 = e0)
% 203.37/34.23 (2) op(e2, e3) = all_52_1
% 203.37/34.23 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.23 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.23 (4) ~ (all_52_13 = e1)
% 203.37/34.23 (5) op(e2, e0) = all_52_13
% 203.37/34.23 (6) ~ (all_52_1 = e1)
% 203.37/34.23 (7) ~ (e1 = e0)
% 203.37/34.23 (8) all_58_1 = e3
% 203.37/34.23 (9) ~ (all_52_9 = e1)
% 203.37/34.23 (10) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.23 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.23 (11) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0)
% 203.37/34.23 (12) op(e2, e1) = all_52_9
% 203.37/34.23
% 203.37/34.23 Begin of proof
% 203.37/34.23 |
% 203.37/34.23 | BETA: splitting (11) gives:
% 203.37/34.23 |
% 203.37/34.23 | Case 1:
% 203.37/34.23 | |
% 203.37/34.23 | | (13) all_58_1 = e0 & op(e3, e2) = e0
% 203.37/34.23 | |
% 203.37/34.23 | | REF_CLOSE: (1), (8), (13) are inconsistent by sub-proof #1410.
% 203.37/34.23 | |
% 203.37/34.23 | Case 2:
% 203.37/34.23 | |
% 203.37/34.23 | | (14) all_58_3 = e0 & op(e2, e2) = e0
% 203.37/34.23 | |
% 203.37/34.23 | | ALPHA: (14) implies:
% 203.37/34.23 | | (15) all_58_3 = e0
% 203.37/34.23 | |
% 203.37/34.23 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (12), (15) are
% 203.37/34.23 | | inconsistent by sub-proof #105.
% 203.37/34.23 | |
% 203.37/34.23 | End of split
% 203.37/34.23 |
% 203.37/34.23 End of proof
% 203.37/34.23
% 203.37/34.23 Sub-proof #40 shows that the following formulas are inconsistent:
% 203.37/34.23 ----------------------------------------------------------------
% 203.37/34.23 (1) op(e2, e3) = all_52_1
% 203.37/34.23 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.23 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.23 (3) ~ (all_52_13 = e1)
% 203.37/34.23 (4) op(e2, e0) = all_52_13
% 203.37/34.23 (5) ~ (all_52_1 = e1)
% 203.37/34.23 (6) all_58_3 = e1
% 203.37/34.23 (7) ~ (e1 = e0)
% 203.37/34.23 (8) all_58_8 = e0
% 203.37/34.23 (9) ~ (all_52_9 = e1)
% 203.37/34.23 (10) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.23 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.23 (11) ~ (e2 = e1)
% 203.37/34.23 (12) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.37/34.23 (13) all_58_14 = e2
% 203.37/34.23 (14) op(e2, e1) = all_52_9
% 203.37/34.23
% 203.37/34.23 Begin of proof
% 203.37/34.23 |
% 203.37/34.23 | BETA: splitting (12) gives:
% 203.37/34.23 |
% 203.37/34.23 | Case 1:
% 203.37/34.23 | |
% 203.37/34.23 | | (15) all_58_8 = e1 & op(e1, e1) = e1
% 203.37/34.23 | |
% 203.37/34.23 | | ALPHA: (15) implies:
% 203.37/34.23 | | (16) all_58_8 = e1
% 203.37/34.23 | |
% 203.37/34.23 | | COMBINE_EQS: (8), (16) imply:
% 203.37/34.23 | | (17) e1 = e0
% 203.37/34.23 | |
% 203.37/34.23 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (14), (17) are
% 203.37/34.23 | | inconsistent by sub-proof #92.
% 203.37/34.23 | |
% 203.37/34.23 | Case 2:
% 203.37/34.23 | |
% 203.37/34.23 | | (18) all_58_14 = e1 & op(e0, e1) = e1
% 203.37/34.23 | |
% 203.37/34.23 | | REF_CLOSE: (11), (13), (18) are inconsistent by sub-proof #1276.
% 203.37/34.23 | |
% 203.37/34.23 | End of split
% 203.37/34.23 |
% 203.37/34.23 End of proof
% 203.37/34.23
% 203.37/34.23 Sub-proof #41 shows that the following formulas are inconsistent:
% 203.37/34.23 ----------------------------------------------------------------
% 203.37/34.23 (1) all_54_1 = all_52_4
% 203.37/34.23 (2) ~ (all_52_4 = e2)
% 203.37/34.23 (3) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.23 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.37/34.23 (4) all_54_7 = all_30_1
% 203.37/34.23 (5) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.37/34.23 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.23 (6) ~ (all_10_2 = e3)
% 203.37/34.23 (7) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.37/34.23 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.37/34.23 (8) ~ (e3 = e0)
% 203.37/34.23 (9) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 203.37/34.23 (10) ~ (all_52_4 = e3)
% 203.37/34.23 (11) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.37/34.23 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.37/34.23 (12) all_54_3 = all_52_12
% 203.37/34.23 (13) op(e0, e0) = all_10_2
% 203.37/34.23 (14) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.37/34.23 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.37/34.23 (15) op(e2, e2) = all_6_2
% 203.37/34.23 (16) op(e1, e2) = all_52_6
% 203.37/34.23 (17) all_58_13 = e3
% 203.37/34.23 (18) op(e2, e3) = all_52_1
% 203.37/34.23 (19) op(e3, e3) = e2
% 203.37/34.23 (20) ~ (e3 = e2)
% 203.37/34.23 (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.23 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.23 (22) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.23 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.37/34.23 (23) ~ (e3 = e1)
% 203.37/34.23 (24) all_56_14 = e0
% 203.37/34.23 (25) ~ (all_52_12 = e3)
% 203.37/34.23 (26) ~ (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3, e0) = all_30_0 &
% 203.37/34.23 $i(all_30_0))
% 203.37/34.23 (27) ~ (all_52_6 = e0)
% 203.37/34.23 (28) ~ (all_10_2 = e0)
% 203.37/34.23 (29) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.23 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.37/34.23 (30) ~ (all_52_13 = e1)
% 203.37/34.23 (31) ~ (all_52_4 = all_52_12)
% 203.37/34.23 (32) all_58_4 = e3
% 203.37/34.23 (33) ~ (all_14_2 = e3)
% 203.37/34.23 (34) all_58_7 = e2
% 203.37/34.23 (35) all_58_5 = e2
% 203.37/34.23 (36) op(e2, e0) = all_52_13
% 203.37/34.23 (37) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 203.37/34.23 (38) ~ (all_52_4 = e1)
% 203.37/34.23 (39) ~ (all_52_1 = e1)
% 203.37/34.23 (40) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.37/34.23 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.37/34.23 (41) all_58_3 = e1
% 203.37/34.23 (42) ~ (e1 = e0)
% 203.37/34.23 (43) ~ (all_30_1 = e2)
% 203.37/34.23 (44) all_58_8 = e0
% 203.37/34.23 (45) ~ (all_52_9 = e1)
% 203.37/34.23 (46) (all_58_15 = e0 & op(e0, e0) = e0) | (((all_58_9 = e0 & op(e3, e0) = e0)
% 203.37/34.23 | (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1, e0)
% 203.37/34.23 = e0)) & ((all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 &
% 203.37/34.23 op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1) = e0)))
% 203.37/34.23 (47) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.23 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.23 (48) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) = all_56_10
% 203.37/34.23 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 = e2) |
% 203.37/34.23 all_56_0 = e3) & ( ~ (all_56_14 = e2) | all_56_7 = e1) & ( ~
% 203.37/34.23 (all_56_15 = e2) | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.37/34.23 = e2) & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_0 = e0
% 203.37/34.23 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.37/34.23 (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.37/34.23 $i(all_56_6))) & (all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0)
% 203.37/34.23 = all_56_8 & $i(all_56_8))) & (all_56_10 = e3 | ( ~ (all_56_9 =
% 203.37/34.23 e2) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_10 = e1 |
% 203.37/34.23 ( ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.37/34.23 (all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.37/34.23 $i(all_56_3))) & (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2,
% 203.37/34.23 e1) = all_56_4 & $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.37/34.23 (all_56_5 = e2) & op(e2, e0) = all_56_5 & $i(all_56_5)))) |
% 203.37/34.23 (op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11
% 203.37/34.23 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.37/34.23 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.37/34.23 (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.37/34.23 = e1) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0
% 203.37/34.23 | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.37/34.23 (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.37/34.23 $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0)
% 203.37/34.23 = all_56_5 & $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 =
% 203.37/34.23 e1) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_11 = e2 |
% 203.37/34.23 ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 203.37/34.23 (all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.37/34.23 $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1,
% 203.37/34.23 e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.37/34.23 (all_56_8 = e1) & op(e1, e0) = all_56_8 & $i(all_56_8)))) |
% 203.37/34.23 (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 203.37/34.23 $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.37/34.23 all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.37/34.23 (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0 =
% 203.37/34.23 e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 |
% 203.37/34.23 ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.37/34.23 (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.37/34.23 $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1)
% 203.37/34.23 = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0)
% 203.37/34.23 & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.37/34.23 (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.37/34.23 (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.37/34.23 $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0,
% 203.37/34.23 e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.37/34.23 (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.37/34.23 (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.37/34.23 $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.37/34.23 all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.37/34.23 (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~ (all_56_4 =
% 203.37/34.23 e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.37/34.23 ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 203.37/34.23 (all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.37/34.23 $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0)
% 203.37/34.23 = all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 =
% 203.37/34.23 e3) & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1
% 203.37/34.23 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.37/34.23 (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.37/34.23 $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 203.37/34.23 e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.37/34.23 (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.37/34.24 (49) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.24 (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.37/34.24 (50) ~ (e2 = e1)
% 203.37/34.24 (51) ~ (all_30_1 = e1)
% 203.37/34.24 (52) op(e3, e2) = all_52_4
% 203.37/34.24 (53) op(e3, e3) = all_14_2
% 203.37/34.24 (54) op(e2, e2) = e1
% 203.37/34.24 (55) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2, e1) = e3) |
% 203.37/34.24 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) = e3)
% 203.37/34.24 (56) op(e3, e0) = all_52_12
% 203.37/34.24 (57) ~ (e2 = e0)
% 203.37/34.24 (58) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 203.37/34.24 (59) op(e2, e1) = all_52_9
% 203.37/34.24 (60) all_56_15 = e2
% 203.37/34.24 (61) ~ (all_6_2 = e2)
% 203.37/34.24 (62) op(e0, e2) = e3
% 203.37/34.24 (63) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) = e3) |
% 203.37/34.24 (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0, e0) = e3)
% 203.37/34.24 (64) ~ (all_52_12 = e2)
% 203.37/34.24
% 203.37/34.24 Begin of proof
% 203.37/34.24 |
% 203.37/34.24 | BETA: splitting (40) gives:
% 203.37/34.24 |
% 203.37/34.24 | Case 1:
% 203.37/34.24 | |
% 203.37/34.24 | | (65) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) =
% 203.37/34.24 | | e1)
% 203.37/34.24 | |
% 203.37/34.24 | | BETA: splitting (65) gives:
% 203.37/34.24 | |
% 203.37/34.24 | | Case 1:
% 203.37/34.24 | | |
% 203.37/34.24 | | | (66) all_58_4 = e1 & op(e3, e1) = e1
% 203.37/34.24 | | |
% 203.37/34.24 | | | ALPHA: (66) implies:
% 203.37/34.24 | | | (67) all_58_4 = e1
% 203.37/34.24 | | |
% 203.37/34.24 | | | COMBINE_EQS: (32), (67) imply:
% 203.37/34.24 | | | (68) e3 = e1
% 203.37/34.24 | | |
% 203.37/34.24 | | | COMBINE_EQS: (17), (68) imply:
% 203.37/34.24 | | | (69) all_58_13 = e1
% 203.37/34.24 | | |
% 203.37/34.24 | | | REF_CLOSE: (5), (8), (15), (16), (18), (20), (21), (22), (23), (27), (29),
% 203.37/34.24 | | | (30), (36), (39), (42), (45), (47), (50), (54), (57), (59),
% 203.37/34.24 | | | (61), (69) are inconsistent by sub-proof #70.
% 203.37/34.24 | | |
% 203.37/34.24 | | Case 2:
% 203.37/34.24 | | |
% 203.37/34.24 | | | (70) all_58_5 = e1 & op(e2, e1) = e1
% 203.37/34.24 | | |
% 203.37/34.24 | | | ALPHA: (70) implies:
% 203.37/34.24 | | | (71) op(e2, e1) = e1
% 203.37/34.24 | | |
% 203.37/34.24 | | | REF_CLOSE: (21), (45), (59), (71) are inconsistent by sub-proof #467.
% 203.37/34.24 | | |
% 203.37/34.24 | | End of split
% 203.37/34.24 | |
% 203.37/34.24 | Case 2:
% 203.37/34.24 | |
% 203.37/34.24 | | (72) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) =
% 203.37/34.24 | | e1)
% 203.37/34.24 | |
% 203.37/34.24 | | BETA: splitting (72) gives:
% 203.37/34.24 | |
% 203.37/34.24 | | Case 1:
% 203.37/34.24 | | |
% 203.37/34.24 | | | (73) all_58_8 = e1 & op(e1, e1) = e1
% 203.37/34.24 | | |
% 203.37/34.24 | | | ALPHA: (73) implies:
% 203.37/34.24 | | | (74) all_58_8 = e1
% 203.37/34.24 | | |
% 203.37/34.24 | | | COMBINE_EQS: (44), (74) imply:
% 203.37/34.24 | | | (75) e1 = e0
% 203.37/34.24 | | |
% 203.37/34.24 | | | REF_CLOSE: (18), (21), (30), (36), (39), (41), (42), (45), (47), (59),
% 203.37/34.24 | | | (75) are inconsistent by sub-proof #92.
% 203.37/34.24 | | |
% 203.37/34.24 | | Case 2:
% 203.37/34.24 | | |
% 203.37/34.24 | | | (76) all_58_14 = e1 & op(e0, e1) = e1
% 203.37/34.24 | | |
% 203.37/34.24 | | | ALPHA: (76) implies:
% 203.37/34.24 | | | (77) all_58_14 = e1
% 203.37/34.24 | | |
% 203.37/34.24 | | | BETA: splitting (46) gives:
% 203.37/34.24 | | |
% 203.37/34.24 | | | Case 1:
% 203.37/34.24 | | | |
% 203.37/34.24 | | | | (78) all_58_15 = e0 & op(e0, e0) = e0
% 203.37/34.24 | | | |
% 203.37/34.24 | | | | REF_CLOSE: (13), (21), (28), (78) are inconsistent by sub-proof #1924.
% 203.37/34.24 | | | |
% 203.37/34.24 | | | Case 2:
% 203.37/34.24 | | | |
% 203.37/34.24 | | | | (79) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 = e0 & op(e2,
% 203.37/34.24 | | | | e0) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)) &
% 203.37/34.24 | | | | ((all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 & op(e0,
% 203.37/34.24 | | | | e2) = e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 203.37/34.24 | | | |
% 203.37/34.24 | | | | ALPHA: (79) implies:
% 203.37/34.24 | | | | (80) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 & op(e0,
% 203.37/34.24 | | | | e2) = e0) | (all_58_14 = e0 & op(e0, e1) = e0)
% 203.37/34.24 | | | |
% 203.37/34.24 | | | | BETA: splitting (11) gives:
% 203.37/34.24 | | | |
% 203.37/34.24 | | | | Case 1:
% 203.37/34.24 | | | | |
% 203.37/34.24 | | | | | (81) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3,
% 203.37/34.24 | | | | | e2) = e1)
% 203.37/34.24 | | | | |
% 203.37/34.24 | | | | | BETA: splitting (81) gives:
% 203.37/34.24 | | | | |
% 203.37/34.24 | | | | | Case 1:
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | | (82) all_58_0 = e1 & op(e3, e3) = e1
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | | ALPHA: (82) implies:
% 203.37/34.24 | | | | | | (83) op(e3, e3) = e1
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | | REF_CLOSE: (19), (21), (50), (83) are inconsistent by sub-proof
% 203.37/34.24 | | | | | | #1609.
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | Case 2:
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | | (84) all_58_1 = e1 & op(e3, e2) = e1
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | | ALPHA: (84) implies:
% 203.37/34.24 | | | | | | (85) all_58_1 = e1
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | | REF_CLOSE: (8), (17), (20), (21), (22), (23), (29), (34), (41),
% 203.37/34.24 | | | | | | (42), (49), (50), (57), (62), (85) are inconsistent by
% 203.37/34.24 | | | | | | sub-proof #396.
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | End of split
% 203.37/34.24 | | | | |
% 203.37/34.24 | | | | Case 2:
% 203.37/34.24 | | | | |
% 203.37/34.24 | | | | | (86) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3,
% 203.37/34.24 | | | | | e0) = e1)
% 203.37/34.24 | | | | |
% 203.37/34.24 | | | | | BETA: splitting (86) gives:
% 203.37/34.24 | | | | |
% 203.37/34.24 | | | | | Case 1:
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | | (87) all_58_4 = e1 & op(e3, e1) = e1
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | | ALPHA: (87) implies:
% 203.37/34.24 | | | | | | (88) all_58_4 = e1
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | | REF_CLOSE: (8), (20), (23), (35), (44), (55), (77), (88) are
% 203.37/34.24 | | | | | | inconsistent by sub-proof #209.
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | Case 2:
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | | (89) all_58_9 = e1 & op(e3, e0) = e1
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | | ALPHA: (89) implies:
% 203.37/34.24 | | | | | | (90) all_58_9 = e1
% 203.37/34.24 | | | | | | (91) op(e3, e0) = e1
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | | BETA: splitting (29) gives:
% 203.37/34.24 | | | | | |
% 203.37/34.24 | | | | | | Case 1:
% 203.37/34.24 | | | | | | |
% 203.37/34.24 | | | | | | | (92) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 &
% 203.37/34.24 | | | | | | | op(e2, e2) = e0)
% 203.37/34.24 | | | | | | |
% 203.37/34.24 | | | | | | | BETA: splitting (92) gives:
% 203.37/34.24 | | | | | | |
% 203.37/34.24 | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | |
% 203.37/34.24 | | | | | | | | (93) all_58_1 = e0 & op(e3, e2) = e0
% 203.37/34.24 | | | | | | | |
% 203.37/34.24 | | | | | | | | ALPHA: (93) implies:
% 203.37/34.24 | | | | | | | | (94) all_58_1 = e0
% 203.37/34.24 | | | | | | | |
% 203.37/34.24 | | | | | | | | BETA: splitting (58) gives:
% 203.37/34.24 | | | | | | | |
% 203.37/34.24 | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | |
% 203.37/34.24 | | | | | | | | | (95) all_54_1 = e2
% 203.37/34.24 | | | | | | | | |
% 203.37/34.24 | | | | | | | | | REF_CLOSE: (1), (2), (95) are inconsistent by sub-proof #1779.
% 203.37/34.24 | | | | | | | | |
% 203.37/34.24 | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | |
% 203.37/34.24 | | | | | | | | | (96) all_54_1 = e1 | all_54_1 = e0
% 203.37/34.24 | | | | | | | | |
% 203.37/34.24 | | | | | | | | | BETA: splitting (80) gives:
% 203.37/34.24 | | | | | | | | |
% 203.37/34.24 | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | (97) all_58_12 = e0 & op(e0, e3) = e0
% 203.37/34.24 | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | ALPHA: (97) implies:
% 203.37/34.24 | | | | | | | | | | (98) all_58_12 = e0
% 203.37/34.24 | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | BETA: splitting (7) gives:
% 203.37/34.24 | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | (99) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 203.37/34.24 | | | | | | | | | | | & op(e2, e3) = e1)
% 203.37/34.24 | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | REF_CLOSE: (18), (19), (21), (39), (50), (99) are
% 203.37/34.24 | | | | | | | | | | | inconsistent by sub-proof #401.
% 203.37/34.24 | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | (100) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 203.37/34.24 | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 203.37/34.24 | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | BETA: splitting (100) gives:
% 203.37/34.24 | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | (101) all_58_6 = e1 & op(e1, e3) = e1
% 203.37/34.24 | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | ALPHA: (101) implies:
% 203.37/34.24 | | | | | | | | | | | | (102) all_58_6 = e1
% 203.37/34.24 | | | | | | | | | | | | (103) op(e1, e3) = e1
% 203.37/34.24 | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | BETA: splitting (14) gives:
% 203.37/34.24 | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | (104) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 203.37/34.24 | | | | | | | | | | | | | & op(e2, e3) = e3)
% 203.37/34.24 | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | BETA: splitting (104) gives:
% 203.37/34.24 | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | (105) all_58_0 = e3 & op(e3, e3) = e3
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | REF_CLOSE: (21), (33), (53), (105) are inconsistent by
% 203.37/34.24 | | | | | | | | | | | | | | sub-proof #1415.
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | (106) all_58_2 = e3 & op(e2, e3) = e3
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | ALPHA: (106) implies:
% 203.37/34.24 | | | | | | | | | | | | | | (107) all_58_2 = e3
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | BETA: splitting (63) gives:
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | (108) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 203.37/34.24 | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 203.37/34.24 | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 203.37/34.24 | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | (109) all_58_9 = e3 & op(e3, e0) = e3
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | ALPHA: (109) implies:
% 203.37/34.24 | | | | | | | | | | | | | | | | (110) all_58_9 = e3
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (90), (110) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | (111) e3 = e1
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (32), (111) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | (112) all_58_4 = e1
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (20), (23), (35), (44), (55), (77), (112) are
% 203.37/34.24 | | | | | | | | | | | | | | | | inconsistent by sub-proof #209.
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | (113) all_58_10 = e3 & op(e2, e0) = e3
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | ALPHA: (113) implies:
% 203.37/34.24 | | | | | | | | | | | | | | | | (114) all_58_10 = e3
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (35), (41), (42), (57), (107), (114) are
% 203.37/34.24 | | | | | | | | | | | | | | | | inconsistent by sub-proof #878.
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | (115) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 203.37/34.24 | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 203.37/34.24 | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | BETA: splitting (115) gives:
% 203.37/34.24 | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | (116) all_58_11 = e3 & op(e1, e0) = e3
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | ALPHA: (116) implies:
% 203.37/34.24 | | | | | | | | | | | | | | | | (117) op(e1, e0) = e3
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | (118) all_54_1 = e1
% 203.37/34.24 | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (38), (118) are inconsistent by sub-proof
% 203.37/34.24 | | | | | | | | | | | | | | | | | #1778.
% 203.37/34.24 | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | (119) all_54_1 = e0
% 203.37/34.24 | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (119) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | | (120) all_52_4 = e0
% 203.37/34.24 | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | SIMP: (120) implies:
% 203.37/34.24 | | | | | | | | | | | | | | | | | (121) all_52_4 = e0
% 203.37/34.24 | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | REDUCE: (31), (121) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | | (122) ~ (all_52_12 = e0)
% 203.37/34.24 | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | SIMP: (122) implies:
% 203.37/34.24 | | | | | | | | | | | | | | | | | (123) ~ (all_52_12 = e0)
% 203.37/34.24 | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | REDUCE: (10), (121) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | | (124) ~ (e3 = e0)
% 203.37/34.24 | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | REDUCE: (52), (121) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | | (125) op(e3, e2) = e0
% 203.37/34.24 | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 203.37/34.24 | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | (126) all_54_3 = e3
% 203.37/34.24 | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (25), (126) are inconsistent by sub-proof
% 203.37/34.24 | | | | | | | | | | | | | | | | | | #1878.
% 203.37/34.24 | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | (127) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 203.37/34.24 | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 203.37/34.24 | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | (128) all_54_7 = e3
% 203.37/34.24 | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4), (128) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | (129) all_30_1 = e3
% 203.37/34.24 | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | SIMP: (129) implies:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | (130) all_30_1 = e3
% 203.37/34.24 | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (21), (26), (56), (64), (123), (127), (130)
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #934.
% 203.37/34.24 | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | (131) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 203.37/34.24 | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | BETA: splitting (48) gives:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (132) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & op(e3, e1) = all_56_1 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))) | (op(e3, e1) = all_56_1 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_8))))
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (133) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_56_10 & $i(all_56_0) &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 =
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2) |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e1) = all_56_1 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_7 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_10 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e2) & op(e0, e3) = all_56_9 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_13 = e1 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e2) & op(e2, e0) = all_56_5 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_5)))
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (21), (60), (62), (133) are inconsistent by
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | sub-proof #418.
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (134) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_56_11 & $i(all_56_1) &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 =
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e2) = all_56_0 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)))
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (21), (24), (103), (134) are inconsistent by
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | sub-proof #143.
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (135) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 =
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | all_56_8 = e1) & (all_56_2 = e2 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_0 = e0) & op(e3, e2) = all_56_0 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_15 = e3) | all_56_9 = e0) & (all_56_3
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | $i(all_56_2))))
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (136) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_56_8 & $i(all_56_2) &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0)
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_56_0 & $i(all_56_0))) &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1)
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | = all_56_1 & $i(all_56_1))) & (all_56_5 = e3 |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_11)))
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | ALPHA: (136) implies:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (137) op(e3, e0) = all_56_2
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (138) all_56_2 = e1 | ( ~ (all_56_1 = e0) & op(e3, e1) =
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | all_56_1 & $i(all_56_1))
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (139) all_56_2 = e2 | ( ~ (all_56_0 = e0) & op(e3, e2) =
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | all_56_0 & $i(all_56_0))
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (50), (91), (125), (137), (138), (139) are
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #106.
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (140) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_56_9 & $i(all_56_3) &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3)
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0)
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5))) & (all_56_6 = e2 |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | $i(all_56_2)))
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | ALPHA: (140) implies:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (141) op(e1, e3) = all_56_6
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | (142) all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0) =
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | all_56_8 & $i(all_56_8))
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (142) gives:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | (143) all_56_6 = e0
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (143) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | (144) op(e1, e3) = e0
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | (145) all_54_7 = e2
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4), (145) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | (146) all_30_1 = e2
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (146) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | (147) $false
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (147) is inconsistent.
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | (148) all_54_7 = e1 | all_54_7 = e0
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | (149) all_54_7 = e1
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4), (149) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | (150) all_30_1 = e1
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (150) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | (151) $false
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (151) is inconsistent.
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | (152) all_54_7 = e0
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4), (152) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | (153) all_30_1 = e0
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (153) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | (154) ~ (e1 = e0)
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with e0, e1, e3, e1,
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (103), (144) gives:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | (155) e1 = e0
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (41), (155) imply:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | (156) all_58_3 = e0
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (34), (42), (49), (50), (94), (156)
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1796.
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | (157) ~ (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | $i(all_56_8)
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (117), (157) are inconsistent by sub-proof
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | | #694.
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | (158) all_58_15 = e3 & op(e0, e0) = e3
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (21), (158) are inconsistent by
% 203.37/34.24 | | | | | | | | | | | | | | | | sub-proof #1398.
% 203.37/34.24 | | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | (159) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 203.37/34.24 | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 203.37/34.24 | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | BETA: splitting (159) gives:
% 203.37/34.24 | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | (160) all_58_6 = e3 & op(e1, e3) = e3
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | ALPHA: (160) implies:
% 203.37/34.24 | | | | | | | | | | | | | | (161) all_58_6 = e3
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | COMBINE_EQS: (102), (161) imply:
% 203.37/34.24 | | | | | | | | | | | | | | (162) e3 = e1
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | SIMP: (162) implies:
% 203.37/34.24 | | | | | | | | | | | | | | (163) e3 = e1
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | COMBINE_EQS: (32), (163) imply:
% 203.37/34.24 | | | | | | | | | | | | | | (164) all_58_4 = e1
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | REF_CLOSE: (8), (20), (23), (35), (44), (55), (77), (164) are
% 203.37/34.24 | | | | | | | | | | | | | | inconsistent by sub-proof #209.
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | (165) all_58_12 = e3 & op(e0, e3) = e3
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | ALPHA: (165) implies:
% 203.37/34.24 | | | | | | | | | | | | | | (166) all_58_12 = e3
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | | REF_CLOSE: (8), (98), (166) are inconsistent by sub-proof
% 203.37/34.24 | | | | | | | | | | | | | | #1640.
% 203.37/34.24 | | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | (167) all_58_12 = e1 & op(e0, e3) = e1
% 203.37/34.24 | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | ALPHA: (167) implies:
% 203.37/34.24 | | | | | | | | | | | | (168) all_58_12 = e1
% 203.37/34.24 | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | | REF_CLOSE: (17), (23), (34), (41), (42), (49), (50), (94),
% 203.37/34.24 | | | | | | | | | | | | (98), (168) are inconsistent by sub-proof #42.
% 203.37/34.24 | | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | End of split
% 203.37/34.24 | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | (169) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 203.37/34.24 | | | | | | | | | | e0 & op(e0, e1) = e0)
% 203.37/34.24 | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | BETA: splitting (169) gives:
% 203.37/34.24 | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | Case 1:
% 203.37/34.24 | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | (170) all_58_13 = e0 & op(e0, e2) = e0
% 203.37/34.24 | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | ALPHA: (170) implies:
% 203.37/34.24 | | | | | | | | | | | (171) op(e0, e2) = e0
% 203.37/34.24 | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | | REF_CLOSE: (8), (21), (62), (171) are inconsistent by
% 203.37/34.24 | | | | | | | | | | | sub-proof #1584.
% 203.37/34.24 | | | | | | | | | | |
% 203.37/34.24 | | | | | | | | | | Case 2:
% 203.37/34.24 | | | | | | | | | | |
% 203.37/34.25 | | | | | | | | | | | (172) all_58_14 = e0 & op(e0, e1) = e0
% 203.37/34.25 | | | | | | | | | | |
% 203.37/34.25 | | | | | | | | | | | ALPHA: (172) implies:
% 203.37/34.25 | | | | | | | | | | | (173) all_58_14 = e0
% 203.37/34.25 | | | | | | | | | | |
% 203.37/34.25 | | | | | | | | | | | COMBINE_EQS: (77), (173) imply:
% 203.37/34.25 | | | | | | | | | | | (174) e1 = e0
% 203.37/34.25 | | | | | | | | | | |
% 203.37/34.25 | | | | | | | | | | | COMBINE_EQS: (41), (174) imply:
% 203.37/34.25 | | | | | | | | | | | (175) all_58_3 = e0
% 203.37/34.25 | | | | | | | | | | |
% 203.37/34.25 | | | | | | | | | | | REF_CLOSE: (17), (23), (34), (42), (49), (50), (94), (175)
% 203.37/34.25 | | | | | | | | | | | are inconsistent by sub-proof #1796.
% 203.37/34.25 | | | | | | | | | | |
% 203.37/34.25 | | | | | | | | | | End of split
% 203.37/34.25 | | | | | | | | | |
% 203.37/34.25 | | | | | | | | | End of split
% 203.37/34.25 | | | | | | | | |
% 203.37/34.25 | | | | | | | | End of split
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | Case 2:
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | (176) all_58_3 = e0 & op(e2, e2) = e0
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | ALPHA: (176) implies:
% 203.37/34.25 | | | | | | | | (177) all_58_3 = e0
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | REF_CLOSE: (18), (21), (30), (36), (39), (42), (45), (47), (59),
% 203.37/34.25 | | | | | | | | (177) are inconsistent by sub-proof #105.
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | End of split
% 203.37/34.25 | | | | | | |
% 203.37/34.25 | | | | | | Case 2:
% 203.37/34.25 | | | | | | |
% 203.37/34.25 | | | | | | | (178) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 &
% 203.37/34.25 | | | | | | | op(e0, e2) = e0)
% 203.37/34.25 | | | | | | |
% 203.37/34.25 | | | | | | | BETA: splitting (178) gives:
% 203.37/34.25 | | | | | | |
% 203.37/34.25 | | | | | | | Case 1:
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | (179) all_58_7 = e0 & op(e1, e2) = e0
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | ALPHA: (179) implies:
% 203.37/34.25 | | | | | | | | (180) op(e1, e2) = e0
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | REF_CLOSE: (16), (21), (27), (180) are inconsistent by sub-proof
% 203.37/34.25 | | | | | | | | #274.
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | Case 2:
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | (181) all_58_13 = e0 & op(e0, e2) = e0
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | ALPHA: (181) implies:
% 203.37/34.25 | | | | | | | | (182) op(e0, e2) = e0
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | REF_CLOSE: (8), (21), (62), (182) are inconsistent by sub-proof
% 203.37/34.25 | | | | | | | | #1584.
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | End of split
% 203.37/34.25 | | | | | | |
% 203.37/34.25 | | | | | | End of split
% 203.37/34.25 | | | | | |
% 203.37/34.25 | | | | | End of split
% 203.37/34.25 | | | | |
% 203.37/34.25 | | | | End of split
% 203.37/34.25 | | | |
% 203.37/34.25 | | | End of split
% 203.37/34.25 | | |
% 203.37/34.25 | | End of split
% 203.37/34.25 | |
% 203.37/34.25 | End of split
% 203.37/34.25 |
% 203.37/34.25 End of proof
% 203.37/34.25
% 203.37/34.25 Sub-proof #42 shows that the following formulas are inconsistent:
% 203.37/34.25 ----------------------------------------------------------------
% 203.37/34.25 (1) all_58_1 = e0
% 203.37/34.25 (2) all_58_12 = e0
% 203.37/34.25 (3) all_58_13 = e3
% 203.37/34.25 (4) all_58_12 = e1
% 203.37/34.25 (5) ~ (e3 = e1)
% 203.37/34.25 (6) all_58_7 = e2
% 203.37/34.25 (7) all_58_3 = e1
% 203.37/34.25 (8) ~ (e1 = e0)
% 203.37/34.25 (9) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.25 (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.37/34.25 (10) ~ (e2 = e1)
% 203.37/34.25
% 203.37/34.25 Begin of proof
% 203.37/34.25 |
% 203.37/34.25 | COMBINE_EQS: (2), (4) imply:
% 203.37/34.25 | (11) e1 = e0
% 203.37/34.25 |
% 203.37/34.25 | SIMP: (11) implies:
% 203.37/34.25 | (12) e1 = e0
% 203.37/34.25 |
% 203.37/34.25 | COMBINE_EQS: (7), (12) imply:
% 203.37/34.25 | (13) all_58_3 = e0
% 203.37/34.25 |
% 203.37/34.25 | REF_CLOSE: (1), (3), (5), (6), (8), (9), (10), (13) are inconsistent by
% 203.37/34.25 | sub-proof #1796.
% 203.37/34.25 |
% 203.37/34.25 End of proof
% 203.37/34.25
% 203.37/34.25 Sub-proof #43 shows that the following formulas are inconsistent:
% 203.37/34.25 ----------------------------------------------------------------
% 203.37/34.25 (1) op(e2, e3) = all_52_1
% 203.37/34.25 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.25 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.25 (3) all_58_14 = e3
% 203.37/34.25 (4) ~ (e3 = e1)
% 203.37/34.25 (5) ~ (all_52_13 = e1)
% 203.37/34.25 (6) op(e2, e0) = all_52_13
% 203.37/34.25 (7) ~ (all_52_1 = e1)
% 203.37/34.25 (8) all_58_3 = e1
% 203.37/34.25 (9) ~ (e1 = e0)
% 203.37/34.25 (10) all_58_8 = e0
% 203.37/34.25 (11) ~ (all_52_9 = e1)
% 203.37/34.25 (12) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.25 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.25 (13) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.37/34.25 (14) op(e2, e1) = all_52_9
% 203.37/34.25
% 203.37/34.25 Begin of proof
% 203.37/34.25 |
% 203.37/34.25 | BETA: splitting (13) gives:
% 203.37/34.25 |
% 203.37/34.25 | Case 1:
% 203.37/34.25 | |
% 203.37/34.25 | | (15) all_58_8 = e1 & op(e1, e1) = e1
% 203.37/34.25 | |
% 203.37/34.25 | | ALPHA: (15) implies:
% 203.37/34.25 | | (16) all_58_8 = e1
% 203.37/34.25 | |
% 203.37/34.25 | | COMBINE_EQS: (10), (16) imply:
% 203.37/34.25 | | (17) e1 = e0
% 203.37/34.25 | |
% 203.37/34.25 | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (9), (11), (12), (14), (17) are
% 203.37/34.25 | | inconsistent by sub-proof #92.
% 203.37/34.25 | |
% 203.37/34.25 | Case 2:
% 203.37/34.25 | |
% 203.37/34.25 | | (18) all_58_14 = e1 & op(e0, e1) = e1
% 203.37/34.25 | |
% 203.37/34.25 | | ALPHA: (18) implies:
% 203.37/34.25 | | (19) all_58_14 = e1
% 203.37/34.25 | |
% 203.37/34.25 | | REF_CLOSE: (3), (4), (19) are inconsistent by sub-proof #985.
% 203.37/34.25 | |
% 203.37/34.25 | End of split
% 203.37/34.25 |
% 203.37/34.25 End of proof
% 203.37/34.25
% 203.37/34.25 Sub-proof #44 shows that the following formulas are inconsistent:
% 203.37/34.25 ----------------------------------------------------------------
% 203.37/34.25 (1) ~ (e3 = e0)
% 203.37/34.25 (2) ~ (e3 = e2)
% 203.37/34.25 (3) all_58_4 = e1
% 203.37/34.25 (4) all_58_14 = e3
% 203.37/34.25 (5) ~ (e3 = e1)
% 203.37/34.25 (6) all_58_11 = e1
% 203.37/34.25 (7) all_58_5 = e2
% 203.37/34.25 (8) all_58_8 = e0
% 203.37/34.25 (9) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.37/34.25 (10) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2, e1) = e3) |
% 203.37/34.25 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) = e3)
% 203.37/34.25
% 203.37/34.25 Begin of proof
% 203.37/34.25 |
% 203.37/34.25 | BETA: splitting (9) gives:
% 203.37/34.25 |
% 203.37/34.25 | Case 1:
% 203.37/34.25 | |
% 203.37/34.25 | | (11) all_58_8 = e3 & op(e1, e1) = e3
% 203.37/34.25 | |
% 203.37/34.25 | | ALPHA: (11) implies:
% 203.37/34.25 | | (12) all_58_8 = e3
% 203.37/34.25 | |
% 203.37/34.25 | | REF_CLOSE: (1), (8), (12) are inconsistent by sub-proof #1630.
% 203.37/34.25 | |
% 203.37/34.25 | Case 2:
% 203.37/34.25 | |
% 203.37/34.25 | | (13) all_58_11 = e3 & op(e1, e0) = e3
% 203.37/34.25 | |
% 203.37/34.25 | | ALPHA: (13) implies:
% 203.37/34.25 | | (14) all_58_11 = e3
% 203.37/34.25 | |
% 203.37/34.25 | | COMBINE_EQS: (6), (14) imply:
% 203.37/34.25 | | (15) e3 = e1
% 203.37/34.25 | |
% 203.37/34.25 | | SIMP: (15) implies:
% 203.37/34.25 | | (16) e3 = e1
% 203.37/34.25 | |
% 203.37/34.25 | | COMBINE_EQS: (4), (16) imply:
% 203.37/34.25 | | (17) all_58_14 = e1
% 203.37/34.25 | |
% 203.37/34.25 | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (10), (17) are inconsistent by
% 203.37/34.25 | | sub-proof #209.
% 203.37/34.25 | |
% 203.37/34.25 | End of split
% 203.37/34.25 |
% 203.37/34.25 End of proof
% 203.37/34.25
% 203.37/34.25 Sub-proof #45 shows that the following formulas are inconsistent:
% 203.37/34.25 ----------------------------------------------------------------
% 203.37/34.25 (1) ~ (e3 = e0)
% 203.37/34.25 (2) all_58_7 = e3 & op(e1, e2) = e3
% 203.37/34.25 (3) ~ (e3 = e2)
% 203.37/34.25 (4) all_58_4 = e1
% 203.37/34.25 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.25 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.25 (6) all_58_14 = e3
% 203.37/34.25 (7) ~ (e3 = e1)
% 203.37/34.25 (8) ~ (all_52_9 = e0)
% 203.37/34.25 (9) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0 & op(e2, e1) = e0) |
% 203.37/34.25 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 = e0 & op(e0, e1) = e0)
% 203.37/34.25 (10) all_58_7 = e2
% 203.37/34.25 (11) all_58_5 = e2
% 203.37/34.25 (12) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.37/34.25 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.37/34.25 (13) ~ (e1 = e0)
% 203.37/34.25 (14) ~ (e2 = e1)
% 203.37/34.25 (15) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2, e1) = e3) |
% 203.37/34.25 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) = e3)
% 203.37/34.25 (16) ~ (e2 = e0)
% 203.37/34.25 (17) op(e2, e1) = all_52_9
% 203.37/34.25
% 203.37/34.25 Begin of proof
% 203.37/34.25 |
% 203.37/34.25 | ALPHA: (2) implies:
% 203.37/34.25 | (18) all_58_7 = e3
% 203.37/34.25 |
% 203.37/34.25 | COMBINE_EQS: (10), (18) imply:
% 203.37/34.25 | (19) e3 = e2
% 203.37/34.25 |
% 203.37/34.25 | SIMP: (19) implies:
% 203.37/34.25 | (20) e3 = e2
% 203.37/34.25 |
% 203.37/34.25 | COMBINE_EQS: (6), (20) imply:
% 203.37/34.25 | (21) all_58_14 = e2
% 203.37/34.25 |
% 203.37/34.25 | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (11), (12), (13), (14), (15),
% 203.37/34.25 | (16), (17), (21) are inconsistent by sub-proof #154.
% 203.37/34.25 |
% 203.37/34.25 End of proof
% 203.37/34.25
% 203.37/34.25 Sub-proof #46 shows that the following formulas are inconsistent:
% 203.37/34.25 ----------------------------------------------------------------
% 203.37/34.25 (1) all_58_9 = e1
% 203.37/34.25 (2) ~ (e3 = e0)
% 203.37/34.25 (3) op(e2, e3) = all_52_1
% 203.37/34.25 (4) op(e3, e3) = e2
% 203.37/34.25 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.25 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.25 (6) ~ (all_52_8 = e0)
% 203.37/34.25 (7) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.37/34.25 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.37/34.25 (8) ~ (all_52_13 = e1)
% 203.37/34.25 (9) op(e3, e1) = all_52_8
% 203.37/34.25 (10) op(e2, e0) = all_52_13
% 203.37/34.25 (11) ~ (all_52_1 = e1)
% 203.37/34.25 (12) all_58_3 = e1
% 203.37/34.25 (13) ~ (e1 = e0)
% 203.37/34.25 (14) all_58_1 = e3
% 203.37/34.25 (15) ~ (all_52_9 = e1)
% 203.37/34.25 (16) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.25 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.25 (17) ~ (e2 = e0)
% 203.37/34.25 (18) op(e2, e1) = all_52_9
% 203.37/34.25
% 203.37/34.25 Begin of proof
% 203.37/34.25 |
% 203.37/34.25 | BETA: splitting (7) gives:
% 203.37/34.25 |
% 203.37/34.25 | Case 1:
% 203.37/34.25 | |
% 203.37/34.25 | | (19) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) =
% 203.37/34.25 | | e0)
% 203.37/34.25 | |
% 203.37/34.25 | | REF_CLOSE: (2), (4), (5), (14), (17), (19) are inconsistent by sub-proof
% 203.37/34.25 | | #1259.
% 203.37/34.25 | |
% 203.37/34.25 | Case 2:
% 203.37/34.25 | |
% 203.37/34.25 | | (20) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) =
% 203.37/34.25 | | e0)
% 203.37/34.25 | |
% 203.37/34.25 | | BETA: splitting (20) gives:
% 203.37/34.25 | |
% 203.37/34.25 | | Case 1:
% 203.37/34.25 | | |
% 203.37/34.25 | | | (21) all_58_4 = e0 & op(e3, e1) = e0
% 203.37/34.25 | | |
% 203.37/34.25 | | | REF_CLOSE: (5), (6), (9), (21) are inconsistent by sub-proof #700.
% 203.37/34.25 | | |
% 203.37/34.25 | | Case 2:
% 203.37/34.25 | | |
% 203.37/34.25 | | | (22) all_58_9 = e0 & op(e3, e0) = e0
% 203.37/34.25 | | |
% 203.37/34.25 | | | ALPHA: (22) implies:
% 203.37/34.25 | | | (23) all_58_9 = e0
% 203.37/34.25 | | |
% 203.37/34.25 | | | REF_CLOSE: (1), (3), (5), (8), (10), (11), (12), (13), (15), (16), (18),
% 203.37/34.25 | | | (23) are inconsistent by sub-proof #101.
% 203.37/34.25 | | |
% 203.37/34.25 | | End of split
% 203.37/34.25 | |
% 203.37/34.25 | End of split
% 203.37/34.25 |
% 203.37/34.25 End of proof
% 203.37/34.25
% 203.37/34.25 Sub-proof #47 shows that the following formulas are inconsistent:
% 203.37/34.25 ----------------------------------------------------------------
% 203.37/34.25 (1) ~ (e3 = e0)
% 203.37/34.25 (2) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.37/34.25 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.37/34.25 (3) op(e3, e3) = e2
% 203.37/34.25 (4) ~ (e3 = e2)
% 203.37/34.25 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.25 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.25 (6) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.25 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.37/34.25 (7) ~ (e3 = e1)
% 203.37/34.25 (8) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.37/34.25 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.37/34.25 (9) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.25 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.37/34.25 (10) all_58_4 = e3
% 203.37/34.25 (11) ~ (all_14_2 = e3)
% 203.37/34.25 (12) all_58_7 = e2
% 203.37/34.25 (13) all_58_1 = e1
% 203.37/34.25 (14) all_58_3 = e1
% 203.37/34.25 (15) ~ (e1 = e0)
% 203.37/34.25 (16) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.25 (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.37/34.25 (17) ~ (e2 = e1)
% 203.37/34.25 (18) op(e3, e3) = all_14_2
% 203.37/34.25 (19) op(e2, e2) = e1
% 203.37/34.25 (20) ~ (e2 = e0)
% 203.37/34.25
% 203.37/34.25 Begin of proof
% 203.37/34.25 |
% 203.37/34.25 | BETA: splitting (6) gives:
% 203.37/34.25 |
% 203.37/34.25 | Case 1:
% 203.37/34.25 | |
% 203.37/34.25 | | (21) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) =
% 203.37/34.25 | | e3)
% 203.37/34.25 | |
% 203.37/34.25 | | REF_CLOSE: (5), (7), (13), (19), (21) are inconsistent by sub-proof #457.
% 203.37/34.25 | |
% 203.37/34.25 | Case 2:
% 203.37/34.25 | |
% 203.37/34.25 | | (22) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) =
% 203.37/34.25 | | e3)
% 203.37/34.25 | |
% 203.37/34.25 | | BETA: splitting (22) gives:
% 203.37/34.25 | |
% 203.37/34.25 | | Case 1:
% 203.37/34.25 | | |
% 203.37/34.25 | | | (23) all_58_7 = e3 & op(e1, e2) = e3
% 203.37/34.25 | | |
% 203.37/34.25 | | | ALPHA: (23) implies:
% 203.37/34.25 | | | (24) all_58_7 = e3
% 203.37/34.25 | | |
% 203.37/34.25 | | | COMBINE_EQS: (12), (24) imply:
% 203.37/34.25 | | | (25) e3 = e2
% 203.37/34.25 | | |
% 203.37/34.25 | | | SIMP: (25) implies:
% 203.37/34.25 | | | (26) e3 = e2
% 203.37/34.25 | | |
% 203.37/34.25 | | | COMBINE_EQS: (10), (26) imply:
% 203.37/34.25 | | | (27) all_58_4 = e2
% 203.37/34.25 | | |
% 203.37/34.25 | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (11), (12), (13), (14),
% 203.37/34.25 | | | (15), (16), (17), (18), (20), (27) are inconsistent by
% 203.37/34.25 | | | sub-proof #80.
% 203.37/34.25 | | |
% 203.37/34.25 | | Case 2:
% 203.37/34.25 | | |
% 203.37/34.25 | | | (28) all_58_13 = e3 & op(e0, e2) = e3
% 203.37/34.25 | | |
% 203.37/34.25 | | | ALPHA: (28) implies:
% 203.37/34.25 | | | (29) all_58_13 = e3
% 203.37/34.25 | | | (30) op(e0, e2) = e3
% 203.37/34.25 | | |
% 203.37/34.25 | | | REF_CLOSE: (1), (4), (5), (6), (7), (9), (12), (13), (14), (15), (16),
% 203.37/34.25 | | | (17), (20), (29), (30) are inconsistent by sub-proof #396.
% 203.37/34.25 | | |
% 203.37/34.25 | | End of split
% 203.37/34.25 | |
% 203.37/34.25 | End of split
% 203.37/34.25 |
% 203.37/34.25 End of proof
% 203.37/34.25
% 203.37/34.25 Sub-proof #48 shows that the following formulas are inconsistent:
% 203.37/34.25 ----------------------------------------------------------------
% 203.37/34.25 (1) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.37/34.25 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.25 (2) ~ (all_10_2 = e3)
% 203.37/34.25 (3) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.37/34.25 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.37/34.25 (4) ~ (e3 = e0)
% 203.37/34.25 (5) op(e0, e0) = all_10_2
% 203.37/34.25 (6) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.37/34.25 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.37/34.25 (7) op(e2, e2) = all_6_2
% 203.37/34.25 (8) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2 & op(e1, e2) = e2) |
% 203.37/34.25 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 = e2 & op(e1, e0) = e2)
% 203.37/34.25 (9) op(e1, e2) = all_52_6
% 203.37/34.25 (10) op(e2, e3) = all_52_1
% 203.37/34.25 (11) op(e3, e3) = e2
% 203.37/34.25 (12) ~ (e3 = e2)
% 203.37/34.25 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.25 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.25 (14) ~ (all_52_14 = e2)
% 203.37/34.25 (15) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.37/34.25 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.37/34.25 (16) ~ (e3 = e1)
% 203.37/34.25 (17) ~ (all_52_6 = e0)
% 203.37/34.25 (18) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.37/34.25 | (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 = e3 & op(e0, e0) =
% 203.37/34.25 e3)
% 203.37/34.25 (19) ~ (all_10_2 = e0)
% 203.37/34.25 (20) op(e1, e0) = all_52_14
% 203.37/34.25 (21) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.37/34.25 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.37/34.25 (22) ~ (all_52_13 = e1)
% 203.37/34.25 (23) all_58_13 = e2
% 203.37/34.25 (24) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.37/34.25 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.37/34.25 (25) ~ (all_14_2 = e3)
% 203.37/34.25 (26) op(e2, e0) = all_52_13
% 203.37/34.25 (27) ~ (all_52_2 = e2)
% 203.37/34.25 (28) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.37/34.25 | (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 & op(e0, e0) =
% 203.37/34.25 e1)
% 203.37/34.25 (29) ~ (all_52_1 = e1)
% 203.37/34.25 (30) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.37/34.25 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.37/34.25 (31) all_58_3 = e1
% 203.37/34.25 (32) ~ (e1 = e0)
% 203.37/34.25 (33) all_58_8 = e0
% 203.37/34.25 (34) ~ (all_52_9 = e1)
% 203.37/34.25 (35) (all_58_15 = e0 & op(e0, e0) = e0) | (((all_58_9 = e0 & op(e3, e0) = e0)
% 203.37/34.25 | (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1, e0)
% 203.37/34.25 = e0)) & ((all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 &
% 203.37/34.25 op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1) = e0)))
% 203.37/34.25 (36) op(e0, e0) = e2
% 203.37/34.25 (37) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.25 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.25 (38) ~ (e2 = e1)
% 203.37/34.25 (39) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.37/34.25 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.37/34.25 (40) op(e3, e3) = all_14_2
% 203.37/34.25 (41) op(e2, e2) = e1
% 203.37/34.25 (42) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2) |
% 203.37/34.25 (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) = e2)
% 203.37/34.25 (43) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2, e1) = e3) |
% 203.37/34.25 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) = e3)
% 203.37/34.25 (44) ~ (e2 = e0)
% 203.37/34.25 (45) op(e2, e1) = all_52_9
% 203.37/34.25 (46) ~ (all_6_2 = e2)
% 203.37/34.25 (47) op(e1, e3) = all_52_2
% 203.37/34.25
% 203.37/34.25 Begin of proof
% 203.37/34.25 |
% 203.37/34.25 | BETA: splitting (35) gives:
% 203.37/34.25 |
% 203.37/34.25 | Case 1:
% 203.37/34.25 | |
% 203.37/34.25 | | (48) all_58_15 = e0 & op(e0, e0) = e0
% 203.37/34.25 | |
% 203.37/34.25 | | REF_CLOSE: (5), (13), (19), (48) are inconsistent by sub-proof #1924.
% 203.37/34.25 | |
% 203.37/34.25 | Case 2:
% 203.37/34.25 | |
% 203.37/34.25 | | (49) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 = e0 & op(e2, e0) =
% 203.37/34.25 | | e0) | (all_58_11 = e0 & op(e1, e0) = e0)) & ((all_58_12 = e0 &
% 203.37/34.25 | | op(e0, e3) = e0) | (all_58_13 = e0 & op(e0, e2) = e0) |
% 203.37/34.25 | | (all_58_14 = e0 & op(e0, e1) = e0))
% 203.37/34.25 | |
% 203.37/34.25 | | ALPHA: (49) implies:
% 203.37/34.25 | | (50) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 203.37/34.25 | | e0) | (all_58_14 = e0 & op(e0, e1) = e0)
% 203.37/34.25 | |
% 203.37/34.25 | | BETA: splitting (50) gives:
% 203.37/34.25 | |
% 203.37/34.25 | | Case 1:
% 203.37/34.25 | | |
% 203.37/34.25 | | | (51) all_58_12 = e0 & op(e0, e3) = e0
% 203.37/34.25 | | |
% 203.37/34.25 | | | ALPHA: (51) implies:
% 203.37/34.25 | | | (52) all_58_12 = e0
% 203.37/34.25 | | |
% 203.37/34.25 | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 203.37/34.25 | | | (15), (16), (17), (18), (21), (22), (23), (25), (26), (28),
% 203.37/34.25 | | | (29), (31), (32), (34), (36), (37), (38), (39), (40), (41),
% 203.37/34.25 | | | (42), (44), (45), (46), (52) are inconsistent by sub-proof #51.
% 203.37/34.25 | | |
% 203.37/34.25 | | Case 2:
% 203.37/34.25 | | |
% 203.37/34.25 | | | (53) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1)
% 203.37/34.25 | | | = e0)
% 203.37/34.25 | | |
% 203.37/34.25 | | | BETA: splitting (53) gives:
% 203.37/34.25 | | |
% 203.37/34.25 | | | Case 1:
% 203.37/34.25 | | | |
% 203.37/34.25 | | | | (54) all_58_13 = e0 & op(e0, e2) = e0
% 203.37/34.25 | | | |
% 203.37/34.25 | | | | REF_CLOSE: (23), (44), (54) are inconsistent by sub-proof #1547.
% 203.37/34.25 | | | |
% 203.37/34.25 | | | Case 2:
% 203.37/34.25 | | | |
% 203.37/34.25 | | | | (55) all_58_14 = e0 & op(e0, e1) = e0
% 203.37/34.25 | | | |
% 203.37/34.25 | | | | ALPHA: (55) implies:
% 203.37/34.25 | | | | (56) all_58_14 = e0
% 203.37/34.25 | | | |
% 203.37/34.25 | | | | BETA: splitting (24) gives:
% 203.37/34.25 | | | |
% 203.37/34.25 | | | | Case 1:
% 203.37/34.25 | | | | |
% 203.37/34.25 | | | | | (57) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2,
% 203.37/34.25 | | | | | e1) = e2)
% 203.37/34.25 | | | | |
% 203.37/34.25 | | | | | BETA: splitting (57) gives:
% 203.37/34.25 | | | | |
% 203.37/34.25 | | | | | Case 1:
% 203.37/34.25 | | | | | |
% 203.37/34.25 | | | | | | (58) all_58_4 = e2 & op(e3, e1) = e2
% 203.37/34.25 | | | | | |
% 203.37/34.25 | | | | | | ALPHA: (58) implies:
% 203.37/34.25 | | | | | | (59) all_58_4 = e2
% 203.37/34.25 | | | | | |
% 203.37/34.25 | | | | | | BETA: splitting (30) gives:
% 203.37/34.25 | | | | | |
% 203.37/34.25 | | | | | | Case 1:
% 203.37/34.25 | | | | | | |
% 203.37/34.25 | | | | | | | (60) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 &
% 203.37/34.25 | | | | | | | op(e2, e1) = e1)
% 203.37/34.25 | | | | | | |
% 203.37/34.25 | | | | | | | REF_CLOSE: (1), (4), (7), (9), (10), (12), (13), (15), (16), (17),
% 203.37/34.25 | | | | | | | (21), (22), (23), (26), (29), (32), (34), (37), (38),
% 203.37/34.25 | | | | | | | (41), (44), (45), (46), (59), (60) are inconsistent by
% 203.37/34.25 | | | | | | | sub-proof #69.
% 203.37/34.25 | | | | | | |
% 203.37/34.25 | | | | | | Case 2:
% 203.37/34.25 | | | | | | |
% 203.37/34.25 | | | | | | | (61) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 &
% 203.37/34.25 | | | | | | | op(e0, e1) = e1)
% 203.37/34.25 | | | | | | |
% 203.37/34.25 | | | | | | | BETA: splitting (61) gives:
% 203.37/34.25 | | | | | | |
% 203.37/34.25 | | | | | | | Case 1:
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | (62) all_58_8 = e1 & op(e1, e1) = e1
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | ALPHA: (62) implies:
% 203.37/34.25 | | | | | | | | (63) all_58_8 = e1
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | COMBINE_EQS: (33), (63) imply:
% 203.37/34.25 | | | | | | | | (64) e1 = e0
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | REF_CLOSE: (10), (13), (22), (26), (29), (31), (32), (34), (37),
% 203.37/34.25 | | | | | | | | (45), (64) are inconsistent by sub-proof #92.
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | Case 2:
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | (65) all_58_14 = e1 & op(e0, e1) = e1
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | ALPHA: (65) implies:
% 203.37/34.25 | | | | | | | | (66) all_58_14 = e1
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | | REF_CLOSE: (10), (13), (22), (26), (29), (31), (32), (34), (37),
% 203.37/34.25 | | | | | | | | (45), (56), (66) are inconsistent by sub-proof #50.
% 203.37/34.25 | | | | | | | |
% 203.37/34.25 | | | | | | | End of split
% 203.37/34.25 | | | | | | |
% 203.37/34.25 | | | | | | End of split
% 203.37/34.25 | | | | | |
% 203.37/34.25 | | | | | Case 2:
% 203.37/34.25 | | | | | |
% 203.37/34.25 | | | | | | (67) all_58_5 = e2 & op(e2, e1) = e2
% 203.37/34.25 | | | | | |
% 203.37/34.25 | | | | | | ALPHA: (67) implies:
% 203.37/34.25 | | | | | | (68) all_58_5 = e2
% 203.37/34.25 | | | | | |
% 203.37/34.25 | | | | | | BETA: splitting (21) gives:
% 203.37/34.25 | | | | | |
% 203.37/34.25 | | | | | | Case 1:
% 203.37/34.25 | | | | | | |
% 203.37/34.25 | | | | | | | (69) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 &
% 203.37/34.25 | | | | | | | op(e2, e2) = e0)
% 203.37/34.26 | | | | | | |
% 203.37/34.26 | | | | | | | BETA: splitting (69) gives:
% 203.37/34.26 | | | | | | |
% 203.37/34.26 | | | | | | | Case 1:
% 203.37/34.26 | | | | | | | |
% 203.37/34.26 | | | | | | | | (70) all_58_1 = e0 & op(e3, e2) = e0
% 203.37/34.26 | | | | | | | |
% 203.37/34.26 | | | | | | | | ALPHA: (70) implies:
% 203.37/34.26 | | | | | | | | (71) all_58_1 = e0
% 203.37/34.26 | | | | | | | |
% 203.37/34.26 | | | | | | | | BETA: splitting (18) gives:
% 203.37/34.26 | | | | | | | |
% 203.37/34.26 | | | | | | | | Case 1:
% 203.37/34.26 | | | | | | | | |
% 203.37/34.26 | | | | | | | | | (72) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 = e3 &
% 203.37/34.26 | | | | | | | | | op(e0, e2) = e3)
% 203.37/34.26 | | | | | | | | |
% 203.37/34.26 | | | | | | | | | BETA: splitting (72) gives:
% 203.37/34.26 | | | | | | | | |
% 203.37/34.26 | | | | | | | | | Case 1:
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | (73) all_58_12 = e3 & op(e0, e3) = e3
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | ALPHA: (73) implies:
% 203.37/34.26 | | | | | | | | | | (74) all_58_12 = e3
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | BETA: splitting (8) gives:
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | Case 1:
% 203.37/34.26 | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | (75) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 203.37/34.26 | | | | | | | | | | | & op(e1, e2) = e2)
% 203.37/34.26 | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | BETA: splitting (75) gives:
% 203.37/34.26 | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | Case 1:
% 203.37/34.26 | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | (76) all_58_6 = e2 & op(e1, e3) = e2
% 203.37/34.26 | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | ALPHA: (76) implies:
% 203.37/34.26 | | | | | | | | | | | | (77) op(e1, e3) = e2
% 203.37/34.26 | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | REF_CLOSE: (13), (27), (47), (77) are inconsistent by
% 203.37/34.26 | | | | | | | | | | | | sub-proof #1271.
% 203.37/34.26 | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | Case 2:
% 203.37/34.26 | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | (78) all_58_7 = e2 & op(e1, e2) = e2
% 203.37/34.26 | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | ALPHA: (78) implies:
% 203.37/34.26 | | | | | | | | | | | | (79) all_58_7 = e2
% 203.37/34.26 | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | BETA: splitting (15) gives:
% 203.37/34.26 | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | Case 1:
% 203.37/34.26 | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | (80) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 203.37/34.26 | | | | | | | | | | | | | & op(e2, e2) = e3)
% 203.37/34.26 | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | BETA: splitting (80) gives:
% 203.37/34.26 | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | Case 1:
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | (81) all_58_1 = e3 & op(e3, e2) = e3
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | ALPHA: (81) implies:
% 203.37/34.26 | | | | | | | | | | | | | | (82) all_58_1 = e3
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | COMBINE_EQS: (71), (82) imply:
% 203.37/34.26 | | | | | | | | | | | | | | (83) e3 = e0
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | SIMP: (83) implies:
% 203.37/34.26 | | | | | | | | | | | | | | (84) e3 = e0
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | COMBINE_EQS: (74), (84) imply:
% 203.37/34.26 | | | | | | | | | | | | | | (85) all_58_12 = e0
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10),
% 203.37/34.26 | | | | | | | | | | | | | | (11), (12), (13), (15), (16), (17), (18), (21),
% 203.37/34.26 | | | | | | | | | | | | | | (22), (23), (25), (26), (28), (29), (31), (32),
% 203.37/34.26 | | | | | | | | | | | | | | (34), (36), (37), (38), (39), (40), (41), (42),
% 203.37/34.26 | | | | | | | | | | | | | | (44), (45), (46), (85) are inconsistent by
% 203.37/34.26 | | | | | | | | | | | | | | sub-proof #51.
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | Case 2:
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | (86) all_58_3 = e3 & op(e2, e2) = e3
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | ALPHA: (86) implies:
% 203.37/34.26 | | | | | | | | | | | | | | (87) op(e2, e2) = e3
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | REF_CLOSE: (13), (16), (41), (87) are inconsistent by
% 203.37/34.26 | | | | | | | | | | | | | | sub-proof #1029.
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | End of split
% 203.37/34.26 | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | Case 2:
% 203.37/34.26 | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | (88) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 203.37/34.26 | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 203.37/34.26 | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | BETA: splitting (88) gives:
% 203.37/34.26 | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | Case 1:
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | (89) all_58_7 = e3 & op(e1, e2) = e3
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | ALPHA: (89) implies:
% 203.37/34.26 | | | | | | | | | | | | | | (90) all_58_7 = e3
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | COMBINE_EQS: (79), (90) imply:
% 203.37/34.26 | | | | | | | | | | | | | | (91) e3 = e2
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (10), (11), (12), (13), (16), (25),
% 203.37/34.26 | | | | | | | | | | | | | | (29), (32), (38), (39), (40), (44), (74), (91) are
% 203.37/34.26 | | | | | | | | | | | | | | inconsistent by sub-proof #49.
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | Case 2:
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | (92) all_58_13 = e3 & op(e0, e2) = e3
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | ALPHA: (92) implies:
% 203.37/34.26 | | | | | | | | | | | | | | (93) all_58_13 = e3
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | COMBINE_EQS: (23), (93) imply:
% 203.37/34.26 | | | | | | | | | | | | | | (94) e3 = e2
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | SIMP: (94) implies:
% 203.37/34.26 | | | | | | | | | | | | | | (95) e3 = e2
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (10), (11), (12), (13), (16), (25),
% 203.37/34.26 | | | | | | | | | | | | | | (29), (32), (38), (39), (40), (44), (74), (95) are
% 203.37/34.26 | | | | | | | | | | | | | | inconsistent by sub-proof #49.
% 203.37/34.26 | | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | | End of split
% 203.37/34.26 | | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | | End of split
% 203.37/34.26 | | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | End of split
% 203.37/34.26 | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | Case 2:
% 203.37/34.26 | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | (96) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 203.37/34.26 | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 203.37/34.26 | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | | REF_CLOSE: (4), (12), (13), (14), (16), (20), (30), (32),
% 203.37/34.26 | | | | | | | | | | | (38), (43), (56), (68), (96) are inconsistent by
% 203.37/34.26 | | | | | | | | | | | sub-proof #135.
% 203.37/34.26 | | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | End of split
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | Case 2:
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | (97) all_58_13 = e3 & op(e0, e2) = e3
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | REF_CLOSE: (12), (23), (97) are inconsistent by sub-proof
% 203.37/34.26 | | | | | | | | | | #1838.
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | End of split
% 203.37/34.26 | | | | | | | | |
% 203.37/34.26 | | | | | | | | Case 2:
% 203.37/34.26 | | | | | | | | |
% 203.37/34.26 | | | | | | | | | (98) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 = e3 &
% 203.37/34.26 | | | | | | | | | op(e0, e0) = e3)
% 203.37/34.26 | | | | | | | | |
% 203.37/34.26 | | | | | | | | | BETA: splitting (98) gives:
% 203.37/34.26 | | | | | | | | |
% 203.37/34.26 | | | | | | | | | Case 1:
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | (99) all_58_14 = e3 & op(e0, e1) = e3
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | ALPHA: (99) implies:
% 203.37/34.26 | | | | | | | | | | (100) all_58_14 = e3
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | REF_CLOSE: (4), (56), (100) are inconsistent by sub-proof
% 203.37/34.26 | | | | | | | | | | #1004.
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | Case 2:
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | (101) all_58_15 = e3 & op(e0, e0) = e3
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | | REF_CLOSE: (2), (5), (13), (101) are inconsistent by
% 203.37/34.26 | | | | | | | | | | sub-proof #1398.
% 203.37/34.26 | | | | | | | | | |
% 203.37/34.26 | | | | | | | | | End of split
% 203.37/34.26 | | | | | | | | |
% 203.37/34.26 | | | | | | | | End of split
% 203.37/34.26 | | | | | | | |
% 203.37/34.26 | | | | | | | Case 2:
% 203.37/34.26 | | | | | | | |
% 203.37/34.26 | | | | | | | | (102) all_58_3 = e0 & op(e2, e2) = e0
% 203.37/34.26 | | | | | | | |
% 203.37/34.26 | | | | | | | | ALPHA: (102) implies:
% 203.37/34.26 | | | | | | | | (103) all_58_3 = e0
% 203.37/34.26 | | | | | | | |
% 203.37/34.26 | | | | | | | | REF_CLOSE: (10), (13), (22), (26), (29), (32), (34), (37), (45),
% 203.37/34.26 | | | | | | | | (103) are inconsistent by sub-proof #105.
% 203.37/34.26 | | | | | | | |
% 203.37/34.26 | | | | | | | End of split
% 203.37/34.26 | | | | | | |
% 203.37/34.26 | | | | | | Case 2:
% 203.37/34.26 | | | | | | |
% 203.37/34.26 | | | | | | | (104) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 &
% 203.37/34.26 | | | | | | | op(e0, e2) = e0)
% 203.37/34.26 | | | | | | |
% 203.37/34.26 | | | | | | | REF_CLOSE: (9), (13), (17), (23), (44), (104) are inconsistent by
% 203.37/34.26 | | | | | | | sub-proof #211.
% 203.37/34.26 | | | | | | |
% 203.37/34.26 | | | | | | End of split
% 203.37/34.26 | | | | | |
% 203.37/34.26 | | | | | End of split
% 203.37/34.26 | | | | |
% 203.37/34.26 | | | | Case 2:
% 203.37/34.26 | | | | |
% 203.37/34.26 | | | | | (105) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0,
% 203.37/34.26 | | | | | e1) = e2)
% 203.37/34.26 | | | | |
% 203.37/34.26 | | | | | REF_CLOSE: (2), (4), (5), (12), (13), (16), (18), (19), (23), (28),
% 203.37/34.26 | | | | | (32), (33), (35), (36), (38), (44), (105) are inconsistent
% 203.37/34.26 | | | | | by sub-proof #165.
% 203.37/34.26 | | | | |
% 203.37/34.26 | | | | End of split
% 203.37/34.26 | | | |
% 203.37/34.26 | | | End of split
% 203.37/34.26 | | |
% 203.37/34.26 | | End of split
% 203.37/34.26 | |
% 203.37/34.26 | End of split
% 203.37/34.26 |
% 203.37/34.26 End of proof
% 203.37/34.26
% 203.37/34.26 Sub-proof #49 shows that the following formulas are inconsistent:
% 203.37/34.26 ----------------------------------------------------------------
% 203.37/34.26 (1) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.37/34.26 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.37/34.26 (2) ~ (e3 = e0)
% 203.37/34.26 (3) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.37/34.26 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.37/34.26 (4) op(e2, e3) = all_52_1
% 203.37/34.26 (5) op(e3, e3) = e2
% 203.37/34.26 (6) ~ (e3 = e2)
% 203.37/34.26 (7) e3 = e2
% 203.37/34.26 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.26 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.26 (9) ~ (e3 = e1)
% 203.37/34.26 (10) all_58_12 = e3
% 203.37/34.26 (11) ~ (all_14_2 = e3)
% 203.37/34.26 (12) ~ (all_52_1 = e1)
% 203.37/34.26 (13) ~ (e1 = e0)
% 203.37/34.26 (14) ~ (e2 = e1)
% 203.37/34.26 (15) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.37/34.26 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.37/34.26 (16) op(e3, e3) = all_14_2
% 203.37/34.26 (17) ~ (e2 = e0)
% 203.37/34.26
% 203.37/34.26 Begin of proof
% 203.37/34.26 |
% 203.37/34.26 | COMBINE_EQS: (7), (10) imply:
% 203.37/34.26 | (18) all_58_12 = e2
% 203.37/34.26 |
% 203.37/34.26 | BETA: splitting (1) gives:
% 203.37/34.26 |
% 203.37/34.26 | Case 1:
% 203.37/34.26 | |
% 203.37/34.26 | | (19) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) =
% 203.37/34.26 | | e1)
% 203.37/34.26 | |
% 203.37/34.26 | | REF_CLOSE: (4), (5), (8), (12), (14), (19) are inconsistent by sub-proof
% 203.37/34.26 | | #401.
% 203.37/34.26 | |
% 203.37/34.26 | Case 2:
% 203.37/34.26 | |
% 203.37/34.26 | | (20) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) =
% 203.37/34.26 | | e1)
% 203.37/34.26 | |
% 203.37/34.26 | | BETA: splitting (20) gives:
% 203.37/34.26 | |
% 203.37/34.26 | | Case 1:
% 203.37/34.26 | | |
% 203.37/34.26 | | | (21) all_58_6 = e1 & op(e1, e3) = e1
% 203.37/34.26 | | |
% 203.37/34.26 | | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (11), (13), (14), (15),
% 203.37/34.26 | | | (16), (17), (18), (21) are inconsistent by sub-proof #152.
% 203.37/34.26 | | |
% 203.37/34.26 | | Case 2:
% 203.37/34.26 | | |
% 203.37/34.26 | | | (22) all_58_12 = e1 & op(e0, e3) = e1
% 203.37/34.26 | | |
% 203.37/34.26 | | | ALPHA: (22) implies:
% 203.37/34.26 | | | (23) all_58_12 = e1
% 203.37/34.26 | | |
% 203.37/34.26 | | | REF_CLOSE: (14), (18), (23) are inconsistent by sub-proof #1856.
% 203.37/34.26 | | |
% 203.37/34.26 | | End of split
% 203.37/34.26 | |
% 203.37/34.26 | End of split
% 203.37/34.26 |
% 203.37/34.26 End of proof
% 203.37/34.26
% 203.37/34.26 Sub-proof #50 shows that the following formulas are inconsistent:
% 203.37/34.26 ----------------------------------------------------------------
% 203.37/34.26 (1) op(e2, e3) = all_52_1
% 203.37/34.26 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.37/34.26 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.37/34.26 (3) ~ (all_52_13 = e1)
% 203.37/34.26 (4) op(e2, e0) = all_52_13
% 203.37/34.26 (5) ~ (all_52_1 = e1)
% 203.37/34.26 (6) all_58_3 = e1
% 203.37/34.26 (7) ~ (e1 = e0)
% 203.37/34.26 (8) ~ (all_52_9 = e1)
% 203.37/34.26 (9) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.37/34.26 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.37/34.26 (10) all_58_14 = e1
% 203.37/34.26 (11) op(e2, e1) = all_52_9
% 203.37/34.26 (12) all_58_14 = e0
% 203.37/34.26
% 203.37/34.26 Begin of proof
% 203.37/34.26 |
% 203.37/34.26 | COMBINE_EQS: (10), (12) imply:
% 203.37/34.26 | (13) e1 = e0
% 203.37/34.26 |
% 203.37/34.26 | COMBINE_EQS: (6), (13) imply:
% 203.37/34.26 | (14) all_58_3 = e0
% 203.37/34.26 |
% 203.37/34.26 | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (11), (14) are inconsistent
% 203.37/34.26 | by sub-proof #105.
% 203.37/34.26 |
% 203.37/34.26 End of proof
% 203.37/34.26
% 203.37/34.26 Sub-proof #51 shows that the following formulas are inconsistent:
% 203.37/34.26 ----------------------------------------------------------------
% 203.37/34.26 (1) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.37/34.26 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.37/34.26 (2) ~ (all_10_2 = e3)
% 203.76/34.26 (3) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.76/34.26 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.76/34.26 (4) ~ (e3 = e0)
% 203.76/34.26 (5) op(e0, e0) = all_10_2
% 203.76/34.26 (6) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.76/34.26 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.76/34.26 (7) op(e2, e2) = all_6_2
% 203.76/34.26 (8) all_58_12 = e0
% 203.76/34.26 (9) op(e1, e2) = all_52_6
% 203.76/34.26 (10) op(e2, e3) = all_52_1
% 203.76/34.26 (11) op(e3, e3) = e2
% 203.76/34.26 (12) ~ (e3 = e2)
% 203.76/34.26 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.26 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.26 (14) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.76/34.26 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.76/34.26 (15) ~ (e3 = e1)
% 203.76/34.26 (16) ~ (all_52_6 = e0)
% 203.76/34.26 (17) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.76/34.26 | (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 = e3 & op(e0, e0) =
% 203.76/34.26 e3)
% 203.76/34.26 (18) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.76/34.26 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.76/34.26 (19) ~ (all_52_13 = e1)
% 203.76/34.26 (20) all_58_13 = e2
% 203.76/34.26 (21) ~ (all_14_2 = e3)
% 203.76/34.26 (22) op(e2, e0) = all_52_13
% 203.76/34.26 (23) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.76/34.26 | (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 & op(e0, e0) =
% 203.76/34.26 e1)
% 203.76/34.26 (24) ~ (all_52_1 = e1)
% 203.76/34.26 (25) all_58_3 = e1
% 203.76/34.26 (26) ~ (e1 = e0)
% 203.76/34.26 (27) ~ (all_52_9 = e1)
% 203.76/34.26 (28) op(e0, e0) = e2
% 203.76/34.26 (29) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.76/34.26 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.76/34.26 (30) ~ (e2 = e1)
% 203.76/34.26 (31) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.76/34.26 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.76/34.26 (32) op(e3, e3) = all_14_2
% 203.76/34.26 (33) op(e2, e2) = e1
% 203.76/34.26 (34) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2) |
% 203.76/34.26 (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) = e2)
% 203.76/34.26 (35) ~ (e2 = e0)
% 203.76/34.26 (36) op(e2, e1) = all_52_9
% 203.76/34.26 (37) ~ (all_6_2 = e2)
% 203.76/34.26
% 203.76/34.26 Begin of proof
% 203.76/34.26 |
% 203.76/34.26 | BETA: splitting (3) gives:
% 203.76/34.26 |
% 203.76/34.26 | Case 1:
% 203.76/34.26 | |
% 203.76/34.26 | | (38) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) =
% 203.76/34.26 | | e1)
% 203.76/34.26 | |
% 203.76/34.26 | | REF_CLOSE: (10), (11), (13), (24), (30), (38) are inconsistent by sub-proof
% 203.76/34.26 | | #401.
% 203.76/34.26 | |
% 203.76/34.26 | Case 2:
% 203.76/34.26 | |
% 203.76/34.26 | | (39) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) =
% 203.76/34.26 | | e1)
% 203.76/34.26 | |
% 203.76/34.26 | | BETA: splitting (39) gives:
% 203.76/34.26 | |
% 203.76/34.26 | | Case 1:
% 203.76/34.26 | | |
% 203.76/34.26 | | | (40) all_58_6 = e1 & op(e1, e3) = e1
% 203.76/34.26 | | |
% 203.76/34.26 | | | ALPHA: (40) implies:
% 203.76/34.26 | | | (41) all_58_6 = e1
% 203.76/34.26 | | |
% 203.76/34.26 | | | BETA: splitting (6) gives:
% 203.76/34.26 | | |
% 203.76/34.26 | | | Case 1:
% 203.76/34.26 | | | |
% 203.76/34.26 | | | | (42) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3)
% 203.76/34.26 | | | | = e3)
% 203.76/34.26 | | | |
% 203.76/34.26 | | | | BETA: splitting (42) gives:
% 203.76/34.26 | | | |
% 203.76/34.26 | | | | Case 1:
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | | (43) all_58_0 = e3 & op(e3, e3) = e3
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | | REF_CLOSE: (13), (21), (32), (43) are inconsistent by sub-proof #1415.
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | Case 2:
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | | (44) all_58_2 = e3 & op(e2, e3) = e3
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | | ALPHA: (44) implies:
% 203.76/34.26 | | | | | (45) all_58_2 = e3
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | | BETA: splitting (18) gives:
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | | Case 1:
% 203.76/34.26 | | | | | |
% 203.76/34.26 | | | | | | (46) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2,
% 203.76/34.26 | | | | | | e2) = e0)
% 203.76/34.26 | | | | | |
% 203.76/34.26 | | | | | | BETA: splitting (46) gives:
% 203.76/34.26 | | | | | |
% 203.76/34.26 | | | | | | Case 1:
% 203.76/34.26 | | | | | | |
% 203.76/34.26 | | | | | | | (47) all_58_1 = e0 & op(e3, e2) = e0
% 203.76/34.26 | | | | | | |
% 203.76/34.26 | | | | | | | ALPHA: (47) implies:
% 203.76/34.26 | | | | | | | (48) all_58_1 = e0
% 203.76/34.26 | | | | | | |
% 203.76/34.26 | | | | | | | BETA: splitting (23) gives:
% 203.76/34.26 | | | | | | |
% 203.76/34.26 | | | | | | | Case 1:
% 203.76/34.26 | | | | | | | |
% 203.76/34.26 | | | | | | | | (49) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 &
% 203.76/34.26 | | | | | | | | op(e0, e2) = e1)
% 203.76/34.26 | | | | | | | |
% 203.76/34.26 | | | | | | | | BETA: splitting (49) gives:
% 203.76/34.26 | | | | | | | |
% 203.76/34.26 | | | | | | | | Case 1:
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | | (50) all_58_12 = e1 & op(e0, e3) = e1
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | | ALPHA: (50) implies:
% 203.76/34.26 | | | | | | | | | (51) all_58_12 = e1
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | | REF_CLOSE: (4), (10), (12), (13), (19), (22), (24), (25),
% 203.76/34.26 | | | | | | | | | (26), (27), (29), (30), (31), (34), (35), (36),
% 203.76/34.26 | | | | | | | | | (41), (45), (51) are inconsistent by sub-proof #61.
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | Case 2:
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | | (52) all_58_13 = e1 & op(e0, e2) = e1
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | | ALPHA: (52) implies:
% 203.76/34.26 | | | | | | | | | (53) all_58_13 = e1
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | | REF_CLOSE: (1), (4), (7), (12), (13), (14), (15), (30), (33),
% 203.76/34.26 | | | | | | | | | (35), (37), (48), (53) are inconsistent by
% 203.76/34.26 | | | | | | | | | sub-proof #139.
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | End of split
% 203.76/34.26 | | | | | | | |
% 203.76/34.26 | | | | | | | Case 2:
% 203.76/34.26 | | | | | | | |
% 203.76/34.26 | | | | | | | | (54) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 &
% 203.76/34.26 | | | | | | | | op(e0, e0) = e1)
% 203.76/34.26 | | | | | | | |
% 203.76/34.26 | | | | | | | | BETA: splitting (54) gives:
% 203.76/34.26 | | | | | | | |
% 203.76/34.26 | | | | | | | | Case 1:
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | | (55) all_58_14 = e1 & op(e0, e1) = e1
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | | ALPHA: (55) implies:
% 203.76/34.26 | | | | | | | | | (56) all_58_14 = e1
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | | REF_CLOSE: (2), (4), (5), (8), (12), (13), (15), (17), (20),
% 203.76/34.26 | | | | | | | | | (56) are inconsistent by sub-proof #257.
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | Case 2:
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | | (57) all_58_15 = e1 & op(e0, e0) = e1
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | | ALPHA: (57) implies:
% 203.76/34.26 | | | | | | | | | (58) op(e0, e0) = e1
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | | REF_CLOSE: (13), (28), (30), (58) are inconsistent by
% 203.76/34.26 | | | | | | | | | sub-proof #1869.
% 203.76/34.26 | | | | | | | | |
% 203.76/34.26 | | | | | | | | End of split
% 203.76/34.26 | | | | | | | |
% 203.76/34.26 | | | | | | | End of split
% 203.76/34.26 | | | | | | |
% 203.76/34.26 | | | | | | Case 2:
% 203.76/34.26 | | | | | | |
% 203.76/34.26 | | | | | | | (59) all_58_3 = e0 & op(e2, e2) = e0
% 203.76/34.26 | | | | | | |
% 203.76/34.26 | | | | | | | ALPHA: (59) implies:
% 203.76/34.26 | | | | | | | (60) all_58_3 = e0
% 203.76/34.26 | | | | | | |
% 203.76/34.26 | | | | | | | REF_CLOSE: (10), (13), (19), (22), (24), (26), (27), (29), (36),
% 203.76/34.26 | | | | | | | (60) are inconsistent by sub-proof #105.
% 203.76/34.26 | | | | | | |
% 203.76/34.26 | | | | | | End of split
% 203.76/34.26 | | | | | |
% 203.76/34.26 | | | | | Case 2:
% 203.76/34.26 | | | | | |
% 203.76/34.26 | | | | | | (61) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0,
% 203.76/34.26 | | | | | | e2) = e0)
% 203.76/34.26 | | | | | |
% 203.76/34.26 | | | | | | REF_CLOSE: (9), (13), (16), (20), (35), (61) are inconsistent by
% 203.76/34.26 | | | | | | sub-proof #211.
% 203.76/34.26 | | | | | |
% 203.76/34.26 | | | | | End of split
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | End of split
% 203.76/34.26 | | | |
% 203.76/34.26 | | | Case 2:
% 203.76/34.26 | | | |
% 203.76/34.26 | | | | (62) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3)
% 203.76/34.26 | | | | = e3)
% 203.76/34.26 | | | |
% 203.76/34.26 | | | | BETA: splitting (62) gives:
% 203.76/34.26 | | | |
% 203.76/34.26 | | | | Case 1:
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | | (63) all_58_6 = e3 & op(e1, e3) = e3
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | | ALPHA: (63) implies:
% 203.76/34.26 | | | | | (64) all_58_6 = e3
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | | REF_CLOSE: (15), (41), (64) are inconsistent by sub-proof #1238.
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | Case 2:
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | | (65) all_58_12 = e3 & op(e0, e3) = e3
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | | REF_CLOSE: (4), (8), (65) are inconsistent by sub-proof #1096.
% 203.76/34.26 | | | | |
% 203.76/34.26 | | | | End of split
% 203.76/34.26 | | | |
% 203.76/34.26 | | | End of split
% 203.76/34.26 | | |
% 203.76/34.26 | | Case 2:
% 203.76/34.26 | | |
% 203.76/34.26 | | | (66) all_58_12 = e1 & op(e0, e3) = e1
% 203.76/34.26 | | |
% 203.76/34.26 | | | ALPHA: (66) implies:
% 203.76/34.26 | | | (67) all_58_12 = e1
% 203.76/34.26 | | |
% 203.76/34.26 | | | COMBINE_EQS: (8), (67) imply:
% 203.76/34.26 | | | (68) e1 = e0
% 203.76/34.26 | | |
% 203.76/34.26 | | | COMBINE_EQS: (25), (68) imply:
% 203.76/34.26 | | | (69) all_58_3 = e0
% 203.76/34.26 | | |
% 203.76/34.26 | | | REF_CLOSE: (10), (13), (19), (22), (24), (26), (27), (29), (36), (69) are
% 203.76/34.26 | | | inconsistent by sub-proof #105.
% 203.76/34.26 | | |
% 203.76/34.26 | | End of split
% 203.76/34.26 | |
% 203.76/34.26 | End of split
% 203.76/34.26 |
% 203.76/34.26 End of proof
% 203.76/34.26
% 203.76/34.26 Sub-proof #52 shows that the following formulas are inconsistent:
% 203.76/34.26 ----------------------------------------------------------------
% 203.76/34.26 (1) all_58_11 = e1
% 203.76/34.26 (2) all_58_8 = e0
% 203.76/34.26 (3) ~ (e2 = e1)
% 203.76/34.26 (4) ~ (e2 = e0)
% 203.76/34.26 (5) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 = e2 & op(e1, e0) = e2)
% 203.76/34.26
% 203.76/34.26 Begin of proof
% 203.76/34.26 |
% 203.76/34.26 | BETA: splitting (5) gives:
% 203.76/34.26 |
% 203.76/34.26 | Case 1:
% 203.76/34.26 | |
% 203.76/34.26 | | (6) all_58_8 = e2 & op(e1, e1) = e2
% 203.76/34.26 | |
% 203.76/34.26 | | ALPHA: (6) implies:
% 203.76/34.26 | | (7) all_58_8 = e2
% 203.76/34.26 | |
% 203.76/34.26 | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #984.
% 203.76/34.26 | |
% 203.76/34.26 | Case 2:
% 203.76/34.26 | |
% 203.76/34.26 | | (8) all_58_11 = e2 & op(e1, e0) = e2
% 203.76/34.26 | |
% 203.76/34.26 | | ALPHA: (8) implies:
% 203.76/34.26 | | (9) all_58_11 = e2
% 203.76/34.26 | |
% 203.76/34.26 | | REF_CLOSE: (1), (3), (9) are inconsistent by sub-proof #1559.
% 203.76/34.26 | |
% 203.76/34.26 | End of split
% 203.76/34.26 |
% 203.76/34.26 End of proof
% 203.76/34.26
% 203.76/34.26 Sub-proof #53 shows that the following formulas are inconsistent:
% 203.76/34.26 ----------------------------------------------------------------
% 203.76/34.26 (1) all_56_12 = e2
% 203.76/34.26 (2) ~ (all_52_9 = all_4_1)
% 203.76/34.26 (3) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.76/34.26 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.76/34.26 (4) all_58_2 = e0
% 203.76/34.26 (5) all_58_5 = e3
% 203.76/34.26 (6) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.76/34.26 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.76/34.26 (7) ~ (e3 = e0)
% 203.76/34.26 (8) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.76/34.26 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.76/34.26 (9) op(e2, e2) = all_6_2
% 203.76/34.26 (10) op(e2, e3) = all_52_1
% 203.76/34.26 (11) op(e3, e3) = e2
% 203.76/34.26 (12) op(e0, e2) = all_52_7
% 203.76/34.26 (13) all_58_4 = e1
% 203.76/34.26 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.26 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.26 (15) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.76/34.26 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.76/34.26 (16) ~ (e3 = e1)
% 203.76/34.26 (17) all_56_14 = e0
% 203.76/34.26 (18) all_58_13 = e0
% 203.76/34.26 (19) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 203.76/34.26 (20) ~ (all_52_13 = e1)
% 203.76/34.26 (21) all_54_14 = all_4_1
% 203.76/34.26 (22) ~ (all_4_1 = e0)
% 203.76/34.26 (23) ~ (all_52_9 = e0)
% 203.76/34.26 (24) op(e0, e2) = e0
% 203.76/34.26 (25) op(e2, e1) = e3
% 203.76/34.26 (26) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.76/34.26 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.76/34.26 (27) ~ (all_14_2 = e3)
% 203.76/34.26 (28) op(e2, e0) = all_52_13
% 203.76/34.26 (29) ~ (all_52_1 = e1)
% 203.76/34.26 (30) all_58_6 = e1
% 203.76/34.26 (31) all_58_3 = e1
% 203.76/34.26 (32) ~ (e1 = e0)
% 203.76/34.26 (33) all_58_8 = e0
% 203.76/34.26 (34) all_56_15 = e1
% 203.76/34.26 (35) ~ (all_52_9 = e1)
% 203.76/34.26 (36) op(e1, e3) = e1
% 203.76/34.26 (37) op(e0, e0) = e1
% 203.76/34.26 (38) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.76/34.26 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.76/34.27 (39) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) = all_56_10
% 203.76/34.27 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 = e2) |
% 203.76/34.27 all_56_0 = e3) & ( ~ (all_56_14 = e2) | all_56_7 = e1) & ( ~
% 203.76/34.27 (all_56_15 = e2) | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.76/34.27 = e2) & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_0 = e0
% 203.76/34.27 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.76/34.27 (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.76/34.27 $i(all_56_6))) & (all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0)
% 203.76/34.27 = all_56_8 & $i(all_56_8))) & (all_56_10 = e3 | ( ~ (all_56_9 =
% 203.76/34.27 e2) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_10 = e1 |
% 203.76/34.27 ( ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.76/34.27 (all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.76/34.27 $i(all_56_3))) & (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2,
% 203.76/34.27 e1) = all_56_4 & $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.76/34.27 (all_56_5 = e2) & op(e2, e0) = all_56_5 & $i(all_56_5)))) |
% 203.76/34.27 (op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11
% 203.76/34.27 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.76/34.27 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.76/34.27 (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.76/34.27 = e1) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0
% 203.76/34.27 | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.76/34.27 (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.76/34.27 $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0)
% 203.76/34.27 = all_56_5 & $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 =
% 203.76/34.27 e1) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_11 = e2 |
% 203.76/34.27 ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 203.76/34.27 (all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.76/34.27 $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1,
% 203.76/34.27 e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.76/34.27 (all_56_8 = e1) & op(e1, e0) = all_56_8 & $i(all_56_8)))) |
% 203.76/34.27 (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 203.76/34.27 $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.76/34.27 all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.76/34.27 (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0 =
% 203.76/34.27 e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 |
% 203.76/34.27 ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.76/34.27 (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.76/34.27 $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1)
% 203.76/34.27 = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0)
% 203.76/34.27 & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.76/34.27 (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.76/34.27 (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.76/34.27 $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0,
% 203.76/34.27 e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.76/34.27 (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.76/34.27 (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.76/34.27 $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.76/34.27 all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.76/34.27 (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~ (all_56_4 =
% 203.76/34.27 e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.76/34.27 ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 203.76/34.27 (all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.76/34.27 $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0)
% 203.76/34.27 = all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 =
% 203.76/34.27 e3) & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1
% 203.76/34.27 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.76/34.27 (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.76/34.27 $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 203.76/34.27 e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.76/34.27 (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.76/34.27 (40) ~ (e2 = e1)
% 203.76/34.27 (41) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.76/34.27 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.76/34.27 (42) op(e3, e3) = all_14_2
% 203.76/34.27 (43) ~ (all_4_1 = e1)
% 203.76/34.27 (44) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2) |
% 203.76/34.27 (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) = e2)
% 203.76/34.27 (45) ~ (e2 = e0)
% 203.76/34.27 (46) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.76/34.27 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.76/34.27 e2)
% 203.76/34.27 (47) ~ (all_52_7 = e3)
% 203.76/34.27 (48) op(e2, e1) = all_52_9
% 203.76/34.27 (49) op(e0, e1) = all_4_1
% 203.76/34.27 (50) ~ (all_6_2 = e2)
% 203.76/34.27 (51) ~ (all_4_1 = e3)
% 203.76/34.27
% 203.76/34.27 Begin of proof
% 203.76/34.27 |
% 203.76/34.27 | BETA: splitting (46) gives:
% 203.76/34.27 |
% 203.76/34.27 | Case 1:
% 203.76/34.27 | |
% 203.76/34.27 | | (52) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) =
% 203.76/34.27 | | e2)
% 203.76/34.27 | |
% 203.76/34.27 | | BETA: splitting (52) gives:
% 203.76/34.27 | |
% 203.76/34.27 | | Case 1:
% 203.76/34.27 | | |
% 203.76/34.27 | | | (53) all_58_12 = e2 & op(e0, e3) = e2
% 203.76/34.27 | | |
% 203.76/34.27 | | | ALPHA: (53) implies:
% 203.76/34.27 | | | (54) all_58_12 = e2
% 203.76/34.27 | | | (55) op(e0, e3) = e2
% 203.76/34.27 | | |
% 203.76/34.27 | | | BETA: splitting (19) gives:
% 203.76/34.27 | | |
% 203.76/34.27 | | | Case 1:
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | (56) all_54_14 = e2
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | COMBINE_EQS: (21), (56) imply:
% 203.76/34.27 | | | | (57) all_4_1 = e2
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | SIMP: (57) implies:
% 203.76/34.27 | | | | (58) all_4_1 = e2
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | REDUCE: (2), (58) imply:
% 203.76/34.27 | | | | (59) ~ (all_52_9 = e2)
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | REDUCE: (51), (58) imply:
% 203.76/34.27 | | | | (60) ~ (e3 = e2)
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | SIMP: (60) implies:
% 203.76/34.27 | | | | (61) ~ (e3 = e2)
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | BETA: splitting (39) gives:
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | Case 1:
% 203.76/34.27 | | | | |
% 203.76/34.27 | | | | | (62) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) =
% 203.76/34.27 | | | | | all_56_10 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & (
% 203.76/34.27 | | | | | ~ (all_56_12 = e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 203.76/34.27 | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) | all_56_10 = e0)
% 203.76/34.27 | | | | | & (all_56_0 = e1 | ( ~ (all_56_1 = e2) & op(e3, e1) =
% 203.76/34.27 | | | | | all_56_1 & $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 203.76/34.27 | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2)))
% 203.76/34.27 | | | | | & (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) =
% 203.76/34.27 | | | | | all_56_6 & $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 203.76/34.27 | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 & $i(all_56_8)))
% 203.76/34.27 | | | | | & (all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3) =
% 203.76/34.27 | | | | | all_56_9 & $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 203.76/34.27 | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.76/34.27 | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~ (all_56_3 = e2)
% 203.76/34.27 | | | | | & op(e2, e3) = all_56_3 & $i(all_56_3))) & (all_56_13 =
% 203.76/34.27 | | | | | e1 | ( ~ (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 203.76/34.27 | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~ (all_56_5 = e2) &
% 203.76/34.27 | | | | | op(e2, e0) = all_56_5 & $i(all_56_5)))) | (op(e3, e1) =
% 203.76/34.27 | | | | | all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 203.76/34.27 | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12
% 203.76/34.27 | | | | | = e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4
% 203.76/34.27 | | | | | = e2) & ( ~ (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 203.76/34.27 | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) = all_56_0 &
% 203.76/34.27 | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~ (all_56_2 = e1) &
% 203.76/34.27 | | | | | op(e3, e0) = all_56_2 & $i(all_56_2))) & (all_56_4 = e3
% 203.76/34.27 | | | | | | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.76/34.27 | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) &
% 203.76/34.27 | | | | | op(e2, e0) = all_56_5 & $i(all_56_5))) & (all_56_11 = e3
% 203.76/34.27 | | | | | | ( ~ (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 203.76/34.27 | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~ (all_56_10 = e1)
% 203.76/34.27 | | | | | & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_14
% 203.76/34.27 | | | | | = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.76/34.27 | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) &
% 203.76/34.27 | | | | | op(e1, e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0
% 203.76/34.27 | | | | | | ( ~ (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 203.76/34.27 | | | | | $i(all_56_8))))
% 203.76/34.27 | | | | |
% 203.76/34.27 | | | | | BETA: splitting (62) gives:
% 203.76/34.27 | | | | |
% 203.76/34.27 | | | | | Case 1:
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | (63) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) =
% 203.76/34.27 | | | | | | all_56_10 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & (
% 203.76/34.27 | | | | | | ~ (all_56_12 = e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 203.76/34.27 | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) | all_56_10 = e0)
% 203.76/34.27 | | | | | | & (all_56_0 = e1 | ( ~ (all_56_1 = e2) & op(e3, e1) =
% 203.76/34.27 | | | | | | all_56_1 & $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 203.76/34.27 | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2)))
% 203.76/34.27 | | | | | | & (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) =
% 203.76/34.27 | | | | | | all_56_6 & $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 203.76/34.27 | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 & $i(all_56_8)))
% 203.76/34.27 | | | | | | & (all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3) =
% 203.76/34.27 | | | | | | all_56_9 & $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 203.76/34.27 | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.76/34.27 | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~ (all_56_3 = e2)
% 203.76/34.27 | | | | | | & op(e2, e3) = all_56_3 & $i(all_56_3))) & (all_56_13 =
% 203.76/34.27 | | | | | | e1 | ( ~ (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 203.76/34.27 | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~ (all_56_5 = e2) &
% 203.76/34.27 | | | | | | op(e2, e0) = all_56_5 & $i(all_56_5)))
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | ALPHA: (63) implies:
% 203.76/34.27 | | | | | | (64) op(e0, e2) = all_56_10
% 203.76/34.27 | | | | | | (65) all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3) = all_56_9
% 203.76/34.27 | | | | | | & $i(all_56_9))
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | REF_CLOSE: (12), (14), (47), (55), (64), (65) are inconsistent by
% 203.76/34.27 | | | | | | sub-proof #664.
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | Case 2:
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | (66) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) =
% 203.76/34.27 | | | | | | all_56_11 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & (
% 203.76/34.27 | | | | | | ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1)
% 203.76/34.27 | | | | | | | all_56_4 = e2) & ( ~ (all_56_15 = e1) | all_56_11 = e0)
% 203.76/34.27 | | | | | | & (all_56_1 = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) =
% 203.76/34.27 | | | | | | all_56_0 & $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 203.76/34.27 | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2)))
% 203.76/34.27 | | | | | | & (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) =
% 203.76/34.27 | | | | | | all_56_3 & $i(all_56_3))) & (all_56_4 = e0 | ( ~
% 203.76/34.27 | | | | | | (all_56_5 = e1) & op(e2, e0) = all_56_5 & $i(all_56_5)))
% 203.76/34.27 | | | | | | & (all_56_11 = e3 | ( ~ (all_56_9 = e1) & op(e0, e3) =
% 203.76/34.27 | | | | | | all_56_9 & $i(all_56_9))) & (all_56_11 = e2 | ( ~
% 203.76/34.27 | | | | | | (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 203.76/34.27 | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~ (all_56_6 = e1)
% 203.76/34.27 | | | | | | & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_14 =
% 203.76/34.27 | | | | | | e2 | ( ~ (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 203.76/34.27 | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~ (all_56_8 = e1) &
% 203.76/34.27 | | | | | | op(e1, e0) = all_56_8 & $i(all_56_8)))
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | REF_CLOSE: (7), (14), (17), (36), (66) are inconsistent by sub-proof
% 203.76/34.27 | | | | | | #143.
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | End of split
% 203.76/34.27 | | | | |
% 203.76/34.27 | | | | Case 2:
% 203.76/34.27 | | | | |
% 203.76/34.27 | | | | | (67) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) =
% 203.76/34.27 | | | | | all_56_8 & $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~
% 203.76/34.27 | | | | | (all_56_12 = e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 203.76/34.27 | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8 = e1) &
% 203.76/34.27 | | | | | (all_56_2 = e2 | ( ~ (all_56_0 = e0) & op(e3, e2) = all_56_0
% 203.76/34.27 | | | | | & $i(all_56_0))) & (all_56_2 = e1 | ( ~ (all_56_1 = e0)
% 203.76/34.27 | | | | | & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_5 =
% 203.76/34.27 | | | | | e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.76/34.27 | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) &
% 203.76/34.27 | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_8 = e3
% 203.76/34.27 | | | | | | ( ~ (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 203.76/34.27 | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~ (all_56_7 = e0) &
% 203.76/34.27 | | | | | op(e1, e2) = all_56_7 & $i(all_56_7))) & (all_56_15 = e3
% 203.76/34.27 | | | | | | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.76/34.27 | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0)
% 203.76/34.27 | | | | | & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_15
% 203.76/34.27 | | | | | = e1 | ( ~ (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 203.76/34.27 | | | | | $i(all_56_11)))) | (op(e2, e3) = all_56_3 & op(e1, e3) =
% 203.76/34.27 | | | | | all_56_6 & op(e0, e3) = all_56_9 & $i(all_56_3) &
% 203.76/34.27 | | | | | $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.76/34.27 | | | | | all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & (
% 203.76/34.27 | | | | | ~ (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~
% 203.76/34.27 | | | | | (all_56_4 = e3) & op(e2, e1) = all_56_4 & $i(all_56_4)))
% 203.76/34.27 | | | | | & (all_56_3 = e0 | ( ~ (all_56_5 = e3) & op(e2, e0) =
% 203.76/34.27 | | | | | all_56_5 & $i(all_56_5))) & (all_56_6 = e2 | ( ~
% 203.76/34.27 | | | | | (all_56_7 = e3) & op(e1, e2) = all_56_7 & $i(all_56_7)))
% 203.76/34.27 | | | | | & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0) =
% 203.76/34.27 | | | | | all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~
% 203.76/34.27 | | | | | (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 203.76/34.27 | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~ (all_56_11 = e3)
% 203.76/34.27 | | | | | & op(e0, e1) = all_56_11 & $i(all_56_11))) & (all_56_12
% 203.76/34.27 | | | | | = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.76/34.27 | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) &
% 203.76/34.27 | | | | | op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0
% 203.76/34.27 | | | | | | ( ~ (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 203.76/34.27 | | | | | $i(all_56_2))))
% 203.76/34.27 | | | | |
% 203.76/34.27 | | | | | BETA: splitting (67) gives:
% 203.76/34.27 | | | | |
% 203.76/34.27 | | | | | Case 1:
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | (68) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) =
% 203.76/34.27 | | | | | | all_56_8 & $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~
% 203.76/34.27 | | | | | | (all_56_12 = e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0) |
% 203.76/34.27 | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8 = e1) &
% 203.76/34.27 | | | | | | (all_56_2 = e2 | ( ~ (all_56_0 = e0) & op(e3, e2) = all_56_0
% 203.76/34.27 | | | | | | & $i(all_56_0))) & (all_56_2 = e1 | ( ~ (all_56_1 = e0)
% 203.76/34.27 | | | | | | & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_5 =
% 203.76/34.27 | | | | | | e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.76/34.27 | | | | | | $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) &
% 203.76/34.27 | | | | | | op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_8 = e3
% 203.76/34.27 | | | | | | | ( ~ (all_56_6 = e0) & op(e1, e3) = all_56_6 &
% 203.76/34.27 | | | | | | $i(all_56_6))) & (all_56_8 = e2 | ( ~ (all_56_7 = e0) &
% 203.76/34.27 | | | | | | op(e1, e2) = all_56_7 & $i(all_56_7))) & (all_56_15 = e3
% 203.76/34.27 | | | | | | | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.76/34.27 | | | | | | $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0)
% 203.76/34.27 | | | | | | & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_15
% 203.76/34.27 | | | | | | = e1 | ( ~ (all_56_11 = e0) & op(e0, e1) = all_56_11 &
% 203.76/34.27 | | | | | | $i(all_56_11)))
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | ALPHA: (68) implies:
% 203.76/34.27 | | | | | | (69) all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0, e2) =
% 203.76/34.27 | | | | | | all_56_10 & $i(all_56_10))
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | BETA: splitting (26) gives:
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | Case 1:
% 203.76/34.27 | | | | | | |
% 203.76/34.27 | | | | | | | (70) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 &
% 203.76/34.27 | | | | | | | op(e2, e1) = e2)
% 203.76/34.27 | | | | | | |
% 203.76/34.27 | | | | | | | REF_CLOSE: (7), (8), (10), (13), (14), (16), (20), (27), (28),
% 203.76/34.27 | | | | | | | (29), (30), (31), (32), (35), (38), (40), (41), (42),
% 203.76/34.27 | | | | | | | (44), (45), (48), (54), (59), (61), (70) are
% 203.76/34.27 | | | | | | | inconsistent by sub-proof #57.
% 203.76/34.27 | | | | | | |
% 203.76/34.27 | | | | | | Case 2:
% 203.76/34.27 | | | | | | |
% 203.76/34.27 | | | | | | | (71) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 &
% 203.76/34.27 | | | | | | | op(e0, e1) = e2)
% 203.76/34.27 | | | | | | |
% 203.76/34.27 | | | | | | | BETA: splitting (71) gives:
% 203.76/34.27 | | | | | | |
% 203.76/34.27 | | | | | | | Case 1:
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | | (72) all_58_8 = e2 & op(e1, e1) = e2
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | | REF_CLOSE: (33), (45), (72) are inconsistent by sub-proof #219.
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | Case 2:
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | | (73) all_58_14 = e2 & op(e0, e1) = e2
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | | ALPHA: (73) implies:
% 203.76/34.27 | | | | | | | | (74) all_58_14 = e2
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (10), (11), (14), (15),
% 203.76/34.27 | | | | | | | | (16), (18), (20), (23), (24), (27), (28), (29), (30),
% 203.76/34.27 | | | | | | | | (32), (34), (35), (37), (38), (40), (41), (42), (45),
% 203.76/34.27 | | | | | | | | (46), (48), (50), (61), (69), (74) are inconsistent
% 203.76/34.27 | | | | | | | | by sub-proof #55.
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | End of split
% 203.76/34.27 | | | | | | |
% 203.76/34.27 | | | | | | End of split
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | Case 2:
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | (75) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) =
% 203.76/34.27 | | | | | | all_56_9 & $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 203.76/34.27 | | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~ (all_56_14 = e3) |
% 203.76/34.27 | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9 = e0) &
% 203.76/34.27 | | | | | | (all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) = all_56_4
% 203.76/34.27 | | | | | | & $i(all_56_4))) & (all_56_3 = e0 | ( ~ (all_56_5 = e3)
% 203.76/34.27 | | | | | | & op(e2, e0) = all_56_5 & $i(all_56_5))) & (all_56_6 =
% 203.76/34.27 | | | | | | e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.76/34.27 | | | | | | $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) &
% 203.76/34.27 | | | | | | op(e1, e0) = all_56_8 & $i(all_56_8))) & (all_56_9 = e2
% 203.76/34.27 | | | | | | | ( ~ (all_56_10 = e3) & op(e0, e2) = all_56_10 &
% 203.76/34.27 | | | | | | $i(all_56_10))) & (all_56_9 = e1 | ( ~ (all_56_11 = e3)
% 203.76/34.27 | | | | | | & op(e0, e1) = all_56_11 & $i(all_56_11))) & (all_56_12
% 203.76/34.27 | | | | | | = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.76/34.27 | | | | | | $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) &
% 203.76/34.27 | | | | | | op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0
% 203.76/34.27 | | | | | | | ( ~ (all_56_2 = e3) & op(e3, e0) = all_56_2 &
% 203.76/34.27 | | | | | | $i(all_56_2)))
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | ALPHA: (75) implies:
% 203.76/34.27 | | | | | | (76) op(e2, e3) = all_56_3
% 203.76/34.27 | | | | | | (77) all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) = all_56_4
% 203.76/34.27 | | | | | | & $i(all_56_4))
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | REF_CLOSE: (10), (14), (25), (29), (76), (77) are inconsistent by
% 203.76/34.27 | | | | | | sub-proof #291.
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | End of split
% 203.76/34.27 | | | | |
% 203.76/34.27 | | | | End of split
% 203.76/34.27 | | | |
% 203.76/34.27 | | | Case 2:
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | (78) all_54_14 = e1 | all_54_14 = e0
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | REF_CLOSE: (21), (22), (43), (78) are inconsistent by sub-proof #232.
% 203.76/34.27 | | | |
% 203.76/34.27 | | | End of split
% 203.76/34.27 | | |
% 203.76/34.27 | | Case 2:
% 203.76/34.27 | | |
% 203.76/34.27 | | | (79) all_58_13 = e2 & op(e0, e2) = e2
% 203.76/34.27 | | |
% 203.76/34.27 | | | ALPHA: (79) implies:
% 203.76/34.27 | | | (80) all_58_13 = e2
% 203.76/34.27 | | |
% 203.76/34.27 | | | REF_CLOSE: (18), (45), (80) are inconsistent by sub-proof #1372.
% 203.76/34.27 | | |
% 203.76/34.27 | | End of split
% 203.76/34.27 | |
% 203.76/34.27 | Case 2:
% 203.76/34.27 | |
% 203.76/34.27 | | (81) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.76/34.27 | | e2)
% 203.76/34.27 | |
% 203.76/34.27 | | BETA: splitting (81) gives:
% 203.76/34.27 | |
% 203.76/34.27 | | Case 1:
% 203.76/34.27 | | |
% 203.76/34.27 | | | (82) all_58_14 = e2 & op(e0, e1) = e2
% 203.76/34.27 | | |
% 203.76/34.27 | | | ALPHA: (82) implies:
% 203.76/34.27 | | | (83) all_58_14 = e2
% 203.76/34.27 | | |
% 203.76/34.27 | | | BETA: splitting (19) gives:
% 203.76/34.27 | | |
% 203.76/34.27 | | | Case 1:
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | (84) all_54_14 = e2
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | COMBINE_EQS: (21), (84) imply:
% 203.76/34.27 | | | | (85) all_4_1 = e2
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | SIMP: (85) implies:
% 203.76/34.27 | | | | (86) all_4_1 = e2
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | REDUCE: (2), (86) imply:
% 203.76/34.27 | | | | (87) ~ (all_52_9 = e2)
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | REDUCE: (51), (86) imply:
% 203.76/34.27 | | | | (88) ~ (e3 = e2)
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | SIMP: (88) implies:
% 203.76/34.27 | | | | (89) ~ (e3 = e2)
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | REDUCE: (49), (86) imply:
% 203.76/34.27 | | | | (90) op(e0, e1) = e2
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | BETA: splitting (39) gives:
% 203.76/34.27 | | | |
% 203.76/34.27 | | | | Case 1:
% 203.76/34.27 | | | | |
% 203.76/34.27 | | | | | (91) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) =
% 203.76/34.27 | | | | | all_56_10 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & (
% 203.76/34.27 | | | | | ~ (all_56_12 = e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 203.76/34.27 | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) | all_56_10 = e0)
% 203.76/34.27 | | | | | & (all_56_0 = e1 | ( ~ (all_56_1 = e2) & op(e3, e1) =
% 203.76/34.27 | | | | | all_56_1 & $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 203.76/34.27 | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2)))
% 203.76/34.27 | | | | | & (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) =
% 203.76/34.27 | | | | | all_56_6 & $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 203.76/34.27 | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 & $i(all_56_8)))
% 203.76/34.27 | | | | | & (all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3) =
% 203.76/34.27 | | | | | all_56_9 & $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 203.76/34.27 | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.76/34.27 | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~ (all_56_3 = e2)
% 203.76/34.27 | | | | | & op(e2, e3) = all_56_3 & $i(all_56_3))) & (all_56_13 =
% 203.76/34.27 | | | | | e1 | ( ~ (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 203.76/34.27 | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~ (all_56_5 = e2) &
% 203.76/34.27 | | | | | op(e2, e0) = all_56_5 & $i(all_56_5)))) | (op(e3, e1) =
% 203.76/34.27 | | | | | all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 203.76/34.27 | | | | | $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12
% 203.76/34.27 | | | | | = e1) | all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4
% 203.76/34.27 | | | | | = e2) & ( ~ (all_56_15 = e1) | all_56_11 = e0) & (all_56_1
% 203.76/34.27 | | | | | = e2 | ( ~ (all_56_0 = e1) & op(e3, e2) = all_56_0 &
% 203.76/34.27 | | | | | $i(all_56_0))) & (all_56_1 = e0 | ( ~ (all_56_2 = e1) &
% 203.76/34.27 | | | | | op(e3, e0) = all_56_2 & $i(all_56_2))) & (all_56_4 = e3
% 203.76/34.27 | | | | | | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.76/34.27 | | | | | $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) &
% 203.76/34.27 | | | | | op(e2, e0) = all_56_5 & $i(all_56_5))) & (all_56_11 = e3
% 203.76/34.27 | | | | | | ( ~ (all_56_9 = e1) & op(e0, e3) = all_56_9 &
% 203.76/34.27 | | | | | $i(all_56_9))) & (all_56_11 = e2 | ( ~ (all_56_10 = e1)
% 203.76/34.27 | | | | | & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_14
% 203.76/34.27 | | | | | = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.76/34.27 | | | | | $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) &
% 203.76/34.27 | | | | | op(e1, e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0
% 203.76/34.27 | | | | | | ( ~ (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 203.76/34.27 | | | | | $i(all_56_8))))
% 203.76/34.27 | | | | |
% 203.76/34.27 | | | | | BETA: splitting (91) gives:
% 203.76/34.27 | | | | |
% 203.76/34.27 | | | | | Case 1:
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | (92) op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) =
% 203.76/34.27 | | | | | | all_56_10 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & (
% 203.76/34.27 | | | | | | ~ (all_56_12 = e2) | all_56_0 = e3) & ( ~ (all_56_14 = e2)
% 203.76/34.27 | | | | | | | all_56_7 = e1) & ( ~ (all_56_15 = e2) | all_56_10 = e0)
% 203.76/34.27 | | | | | | & (all_56_0 = e1 | ( ~ (all_56_1 = e2) & op(e3, e1) =
% 203.76/34.27 | | | | | | all_56_1 & $i(all_56_1))) & (all_56_0 = e0 | ( ~
% 203.76/34.27 | | | | | | (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2)))
% 203.76/34.27 | | | | | | & (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) =
% 203.76/34.27 | | | | | | all_56_6 & $i(all_56_6))) & (all_56_7 = e0 | ( ~
% 203.76/34.27 | | | | | | (all_56_8 = e2) & op(e1, e0) = all_56_8 & $i(all_56_8)))
% 203.76/34.27 | | | | | | & (all_56_10 = e3 | ( ~ (all_56_9 = e2) & op(e0, e3) =
% 203.76/34.27 | | | | | | all_56_9 & $i(all_56_9))) & (all_56_10 = e1 | ( ~
% 203.76/34.27 | | | | | | (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.76/34.27 | | | | | | $i(all_56_11))) & (all_56_13 = e3 | ( ~ (all_56_3 = e2)
% 203.76/34.27 | | | | | | & op(e2, e3) = all_56_3 & $i(all_56_3))) & (all_56_13 =
% 203.76/34.27 | | | | | | e1 | ( ~ (all_56_4 = e2) & op(e2, e1) = all_56_4 &
% 203.76/34.27 | | | | | | $i(all_56_4))) & (all_56_13 = e0 | ( ~ (all_56_5 = e2) &
% 203.76/34.27 | | | | | | op(e2, e0) = all_56_5 & $i(all_56_5)))
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | ALPHA: (92) implies:
% 203.76/34.27 | | | | | | (93) op(e0, e2) = all_56_10
% 203.76/34.27 | | | | | | (94) all_56_10 = e1 | ( ~ (all_56_11 = e2) & op(e0, e1) =
% 203.76/34.27 | | | | | | all_56_11 & $i(all_56_11))
% 203.76/34.27 | | | | | | (95) all_56_0 = e0 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2
% 203.76/34.27 | | | | | | & $i(all_56_2))
% 203.76/34.27 | | | | | | (96) ~ (all_56_12 = e2) | all_56_0 = e3
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | BETA: splitting (8) gives:
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | Case 1:
% 203.76/34.27 | | | | | | |
% 203.76/34.27 | | | | | | | (97) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 &
% 203.76/34.27 | | | | | | | op(e2, e3) = e3)
% 203.76/34.27 | | | | | | |
% 203.76/34.27 | | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (10), (11), (14), (15),
% 203.76/34.27 | | | | | | | (16), (20), (23), (27), (28), (29), (32), (35), (38),
% 203.76/34.27 | | | | | | | (40), (41), (42), (45), (48), (50), (89), (97) are
% 203.76/34.27 | | | | | | | inconsistent by sub-proof #56.
% 203.76/34.27 | | | | | | |
% 203.76/34.27 | | | | | | Case 2:
% 203.76/34.27 | | | | | | |
% 203.76/34.27 | | | | | | | (98) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 &
% 203.76/34.27 | | | | | | | op(e0, e3) = e3)
% 203.76/34.27 | | | | | | |
% 203.76/34.27 | | | | | | | BETA: splitting (98) gives:
% 203.76/34.27 | | | | | | |
% 203.76/34.27 | | | | | | | Case 1:
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | | (99) all_58_6 = e3 & op(e1, e3) = e3
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | | REF_CLOSE: (16), (30), (99) are inconsistent by sub-proof #968.
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | Case 2:
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | | (100) all_58_12 = e3 & op(e0, e3) = e3
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | | ALPHA: (100) implies:
% 203.76/34.27 | | | | | | | | (101) all_58_12 = e3
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | | BETA: splitting (15) gives:
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | | Case 1:
% 203.76/34.27 | | | | | | | | |
% 203.76/34.27 | | | | | | | | | (102) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 &
% 203.76/34.27 | | | | | | | | | op(e2, e2) = e2)
% 203.76/34.27 | | | | | | | | |
% 203.76/34.27 | | | | | | | | | BETA: splitting (102) gives:
% 203.76/34.27 | | | | | | | | |
% 203.76/34.27 | | | | | | | | | Case 1:
% 203.76/34.27 | | | | | | | | | |
% 203.76/34.27 | | | | | | | | | | (103) all_58_2 = e2 & op(e2, e3) = e2
% 203.76/34.27 | | | | | | | | | |
% 203.76/34.27 | | | | | | | | | | ALPHA: (103) implies:
% 203.76/34.27 | | | | | | | | | | (104) all_58_2 = e2
% 203.76/34.27 | | | | | | | | | |
% 203.76/34.27 | | | | | | | | | | REF_CLOSE: (6), (7), (11), (14), (16), (32), (40), (41),
% 203.76/34.27 | | | | | | | | | | (45), (101), (104) are inconsistent by sub-proof
% 203.76/34.27 | | | | | | | | | | #1235.
% 203.76/34.27 | | | | | | | | | |
% 203.76/34.27 | | | | | | | | | Case 2:
% 203.76/34.27 | | | | | | | | | |
% 203.76/34.27 | | | | | | | | | | (105) all_58_3 = e2 & op(e2, e2) = e2
% 203.76/34.27 | | | | | | | | | |
% 203.76/34.27 | | | | | | | | | | REF_CLOSE: (9), (14), (50), (105) are inconsistent by
% 203.76/34.27 | | | | | | | | | | sub-proof #624.
% 203.76/34.27 | | | | | | | | | |
% 203.76/34.27 | | | | | | | | | End of split
% 203.76/34.27 | | | | | | | | |
% 203.76/34.27 | | | | | | | | Case 2:
% 203.76/34.27 | | | | | | | | |
% 203.76/34.27 | | | | | | | | | (106) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 &
% 203.76/34.27 | | | | | | | | | op(e2, e0) = e2)
% 203.76/34.27 | | | | | | | | |
% 203.76/34.27 | | | | | | | | | BETA: splitting (106) gives:
% 203.76/34.27 | | | | | | | | |
% 203.76/34.27 | | | | | | | | | Case 1:
% 203.76/34.27 | | | | | | | | | |
% 203.76/34.27 | | | | | | | | | | (107) all_58_5 = e2 & op(e2, e1) = e2
% 203.76/34.27 | | | | | | | | | |
% 203.76/34.27 | | | | | | | | | | ALPHA: (107) implies:
% 203.76/34.27 | | | | | | | | | | (108) op(e2, e1) = e2
% 203.76/34.27 | | | | | | | | | |
% 203.76/34.27 | | | | | | | | | | REF_CLOSE: (14), (48), (87), (108) are inconsistent by
% 203.76/34.27 | | | | | | | | | | sub-proof #254.
% 203.76/34.27 | | | | | | | | | |
% 203.76/34.27 | | | | | | | | | Case 2:
% 203.76/34.27 | | | | | | | | | |
% 203.76/34.27 | | | | | | | | | | (109) all_58_10 = e2 & op(e2, e0) = e2
% 203.76/34.27 | | | | | | | | | |
% 203.76/34.27 | | | | | | | | | | REF_CLOSE: (1), (4), (5), (7), (14), (16), (24), (31), (32),
% 203.76/34.27 | | | | | | | | | | (38), (40), (90), (93), (94), (95), (96), (109)
% 203.76/34.27 | | | | | | | | | | are inconsistent by sub-proof #54.
% 203.76/34.27 | | | | | | | | | |
% 203.76/34.27 | | | | | | | | | End of split
% 203.76/34.27 | | | | | | | | |
% 203.76/34.27 | | | | | | | | End of split
% 203.76/34.27 | | | | | | | |
% 203.76/34.27 | | | | | | | End of split
% 203.76/34.27 | | | | | | |
% 203.76/34.27 | | | | | | End of split
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | Case 2:
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | (110) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1)
% 203.76/34.27 | | | | | | = all_56_11 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) &
% 203.76/34.27 | | | | | | ( ~ (all_56_12 = e1) | all_56_1 = e3) & ( ~ (all_56_13 =
% 203.76/34.27 | | | | | | e1) | all_56_4 = e2) & ( ~ (all_56_15 = e1) | all_56_11
% 203.76/34.27 | | | | | | = e0) & (all_56_1 = e2 | ( ~ (all_56_0 = e1) & op(e3, e2)
% 203.76/34.27 | | | | | | = all_56_0 & $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 203.76/34.27 | | | | | | (all_56_2 = e1) & op(e3, e0) = all_56_2 &
% 203.76/34.27 | | | | | | $i(all_56_2))) & (all_56_4 = e3 | ( ~ (all_56_3 = e1) &
% 203.76/34.27 | | | | | | op(e2, e3) = all_56_3 & $i(all_56_3))) & (all_56_4 = e0
% 203.76/34.27 | | | | | | | ( ~ (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 203.76/34.27 | | | | | | $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 = e1)
% 203.76/34.27 | | | | | | & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_11 =
% 203.76/34.27 | | | | | | e2 | ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 &
% 203.76/34.27 | | | | | | $i(all_56_10))) & (all_56_14 = e3 | ( ~ (all_56_6 = e1)
% 203.76/34.27 | | | | | | & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_14 =
% 203.76/34.27 | | | | | | e2 | ( ~ (all_56_7 = e1) & op(e1, e2) = all_56_7 &
% 203.76/34.27 | | | | | | $i(all_56_7))) & (all_56_14 = e0 | ( ~ (all_56_8 = e1)
% 203.76/34.27 | | | | | | & op(e1, e0) = all_56_8 & $i(all_56_8)))
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | | REF_CLOSE: (7), (14), (17), (36), (110) are inconsistent by
% 203.76/34.27 | | | | | | sub-proof #143.
% 203.76/34.27 | | | | | |
% 203.76/34.27 | | | | | End of split
% 203.76/34.27 | | | | |
% 203.76/34.27 | | | | Case 2:
% 203.76/34.27 | | | | |
% 203.76/34.27 | | | | | (111) (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) =
% 203.76/34.27 | | | | | all_56_8 & $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~
% 203.76/34.27 | | | | | (all_56_12 = e0) | all_56_2 = e3) & ( ~ (all_56_13 = e0)
% 203.76/34.27 | | | | | | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8 = e1)
% 203.76/34.27 | | | | | & (all_56_2 = e2 | ( ~ (all_56_0 = e0) & op(e3, e2) =
% 203.76/34.27 | | | | | all_56_0 & $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 203.76/34.27 | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 203.76/34.27 | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~ (all_56_3 = e0) &
% 203.76/34.27 | | | | | op(e2, e3) = all_56_3 & $i(all_56_3))) & (all_56_5 = e1
% 203.76/34.27 | | | | | | ( ~ (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 203.76/34.27 | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0) &
% 203.76/34.27 | | | | | op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2
% 203.76/34.27 | | | | | | ( ~ (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 203.76/34.27 | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~ (all_56_9 = e0)
% 203.76/34.27 | | | | | & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_15 =
% 203.76/34.27 | | | | | e2 | ( ~ (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 203.76/34.27 | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~ (all_56_11 =
% 203.76/34.27 | | | | | e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.76/34.27 | | | | | (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) =
% 203.76/34.27 | | | | | all_56_9 & $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~
% 203.76/34.27 | | | | | (all_56_13 = e3) | all_56_3 = e2) & ( ~ (all_56_14 = e3)
% 203.76/34.27 | | | | | | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9 = e0)
% 203.76/34.27 | | | | | & (all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) =
% 203.76/34.27 | | | | | all_56_4 & $i(all_56_4))) & (all_56_3 = e0 | ( ~
% 203.76/34.27 | | | | | (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 203.76/34.27 | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~ (all_56_7 = e3) &
% 203.76/34.27 | | | | | op(e1, e2) = all_56_7 & $i(all_56_7))) & (all_56_6 = e0
% 203.76/34.27 | | | | | | ( ~ (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 203.76/34.27 | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 = e3)
% 203.76/34.27 | | | | | & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9
% 203.76/34.27 | | | | | = e1 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 203.76/34.27 | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~ (all_56_0 = e3)
% 203.76/34.27 | | | | | & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_12 =
% 203.76/34.27 | | | | | e1 | ( ~ (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 203.76/34.27 | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~ (all_56_2 = e3)
% 203.76/34.27 | | | | | & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.76/34.27 | | | | |
% 203.76/34.28 | | | | | BETA: splitting (111) gives:
% 203.76/34.28 | | | | |
% 203.76/34.28 | | | | | Case 1:
% 203.76/34.28 | | | | | |
% 203.76/34.28 | | | | | | (112) op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0)
% 203.76/34.28 | | | | | | = all_56_8 & $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & (
% 203.76/34.28 | | | | | | ~ (all_56_12 = e0) | all_56_2 = e3) & ( ~ (all_56_13 =
% 203.76/34.28 | | | | | | e0) | all_56_5 = e2) & ( ~ (all_56_14 = e0) | all_56_8
% 203.76/34.28 | | | | | | = e1) & (all_56_2 = e2 | ( ~ (all_56_0 = e0) & op(e3, e2)
% 203.76/34.28 | | | | | | = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 | ( ~
% 203.76/34.28 | | | | | | (all_56_1 = e0) & op(e3, e1) = all_56_1 &
% 203.76/34.28 | | | | | | $i(all_56_1))) & (all_56_5 = e3 | ( ~ (all_56_3 = e0) &
% 203.76/34.28 | | | | | | op(e2, e3) = all_56_3 & $i(all_56_3))) & (all_56_5 = e1
% 203.76/34.28 | | | | | | | ( ~ (all_56_4 = e0) & op(e2, e1) = all_56_4 &
% 203.76/34.28 | | | | | | $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0) &
% 203.76/34.28 | | | | | | op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2
% 203.76/34.28 | | | | | | | ( ~ (all_56_7 = e0) & op(e1, e2) = all_56_7 &
% 203.76/34.28 | | | | | | $i(all_56_7))) & (all_56_15 = e3 | ( ~ (all_56_9 = e0)
% 203.76/34.28 | | | | | | & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_15 =
% 203.76/34.28 | | | | | | e2 | ( ~ (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 203.76/34.28 | | | | | | $i(all_56_10))) & (all_56_15 = e1 | ( ~ (all_56_11 =
% 203.76/34.28 | | | | | | e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))
% 203.76/34.28 | | | | | |
% 203.76/34.28 | | | | | | ALPHA: (112) implies:
% 203.76/34.28 | | | | | | (113) all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0, e2) =
% 203.76/34.28 | | | | | | all_56_10 & $i(all_56_10))
% 203.76/34.28 | | | | | |
% 203.76/34.28 | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (10), (11), (14), (15),
% 203.76/34.28 | | | | | | (16), (18), (20), (23), (24), (27), (28), (29), (30),
% 203.76/34.28 | | | | | | (32), (34), (35), (37), (38), (40), (41), (42), (45),
% 203.76/34.28 | | | | | | (46), (48), (50), (83), (89), (113) are inconsistent by
% 203.76/34.28 | | | | | | sub-proof #55.
% 203.76/34.28 | | | | | |
% 203.76/34.28 | | | | | Case 2:
% 203.76/34.28 | | | | | |
% 203.76/34.28 | | | | | | (114) op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3)
% 203.76/34.28 | | | | | | = all_56_9 & $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & (
% 203.76/34.28 | | | | | | ~ (all_56_13 = e3) | all_56_3 = e2) & ( ~ (all_56_14 =
% 203.76/34.28 | | | | | | e3) | all_56_6 = e1) & ( ~ (all_56_15 = e3) | all_56_9
% 203.76/34.28 | | | | | | = e0) & (all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1)
% 203.76/34.28 | | | | | | = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 | ( ~
% 203.76/34.28 | | | | | | (all_56_5 = e3) & op(e2, e0) = all_56_5 &
% 203.76/34.28 | | | | | | $i(all_56_5))) & (all_56_6 = e2 | ( ~ (all_56_7 = e3) &
% 203.76/34.28 | | | | | | op(e1, e2) = all_56_7 & $i(all_56_7))) & (all_56_6 = e0
% 203.76/34.28 | | | | | | | ( ~ (all_56_8 = e3) & op(e1, e0) = all_56_8 &
% 203.76/34.28 | | | | | | $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 = e3)
% 203.76/34.28 | | | | | | & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9
% 203.76/34.28 | | | | | | = e1 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 &
% 203.76/34.28 | | | | | | $i(all_56_11))) & (all_56_12 = e2 | ( ~ (all_56_0 = e3)
% 203.76/34.28 | | | | | | & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_12 =
% 203.76/34.28 | | | | | | e1 | ( ~ (all_56_1 = e3) & op(e3, e1) = all_56_1 &
% 203.76/34.28 | | | | | | $i(all_56_1))) & (all_56_12 = e0 | ( ~ (all_56_2 = e3)
% 203.76/34.28 | | | | | | & op(e3, e0) = all_56_2 & $i(all_56_2)))
% 203.76/34.28 | | | | | |
% 203.76/34.28 | | | | | | ALPHA: (114) implies:
% 203.76/34.28 | | | | | | (115) op(e2, e3) = all_56_3
% 203.76/34.28 | | | | | | (116) all_56_3 = e1 | ( ~ (all_56_4 = e3) & op(e2, e1) = all_56_4
% 203.76/34.28 | | | | | | & $i(all_56_4))
% 203.76/34.28 | | | | | |
% 203.76/34.28 | | | | | | REF_CLOSE: (10), (14), (25), (29), (115), (116) are inconsistent by
% 203.76/34.28 | | | | | | sub-proof #291.
% 203.76/34.28 | | | | | |
% 203.76/34.28 | | | | | End of split
% 203.76/34.28 | | | | |
% 203.76/34.28 | | | | End of split
% 203.76/34.28 | | | |
% 203.76/34.28 | | | Case 2:
% 203.76/34.28 | | | |
% 203.76/34.28 | | | | (117) all_54_14 = e1 | all_54_14 = e0
% 203.76/34.28 | | | |
% 203.76/34.28 | | | | REF_CLOSE: (21), (22), (43), (117) are inconsistent by sub-proof #232.
% 203.76/34.28 | | | |
% 203.76/34.28 | | | End of split
% 203.76/34.28 | | |
% 203.76/34.28 | | Case 2:
% 203.76/34.28 | | |
% 203.76/34.28 | | | (118) all_58_15 = e2 & op(e0, e0) = e2
% 203.76/34.28 | | |
% 203.76/34.28 | | | ALPHA: (118) implies:
% 203.76/34.28 | | | (119) op(e0, e0) = e2
% 203.76/34.28 | | |
% 203.76/34.28 | | | REF_CLOSE: (14), (37), (40), (119) are inconsistent by sub-proof #1869.
% 203.76/34.28 | | |
% 203.76/34.28 | | End of split
% 203.76/34.28 | |
% 203.76/34.28 | End of split
% 203.76/34.28 |
% 203.76/34.28 End of proof
% 203.76/34.28
% 203.76/34.28 Sub-proof #54 shows that the following formulas are inconsistent:
% 203.76/34.28 ----------------------------------------------------------------
% 203.76/34.28 (1) all_56_12 = e2
% 203.76/34.28 (2) all_58_2 = e0
% 203.76/34.28 (3) all_58_5 = e3
% 203.76/34.28 (4) ~ (e3 = e0)
% 203.76/34.28 (5) all_56_0 = e0 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 &
% 203.76/34.28 $i(all_56_2))
% 203.76/34.28 (6) op(e0, e2) = all_56_10
% 203.76/34.28 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.28 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.28 (8) ~ (e3 = e1)
% 203.76/34.28 (9) op(e0, e2) = e0
% 203.76/34.28 (10) all_58_10 = e2 & op(e2, e0) = e2
% 203.76/34.28 (11) all_58_3 = e1
% 203.76/34.28 (12) ~ (e1 = e0)
% 203.76/34.28 (13) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.76/34.28 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.76/34.28 (14) ~ (e2 = e1)
% 203.76/34.28 (15) all_56_10 = e1 | ( ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 &
% 203.76/34.28 $i(all_56_11))
% 203.76/34.28 (16) ~ (all_56_12 = e2) | all_56_0 = e3
% 203.76/34.28 (17) op(e0, e1) = e2
% 203.76/34.28
% 203.76/34.28 Begin of proof
% 203.76/34.28 |
% 203.76/34.28 | ALPHA: (10) implies:
% 203.76/34.28 | (18) op(e2, e0) = e2
% 203.76/34.28 |
% 203.76/34.28 | BETA: splitting (15) gives:
% 203.76/34.28 |
% 203.76/34.28 | Case 1:
% 203.76/34.28 | |
% 203.76/34.28 | | (19) all_56_10 = e1
% 203.76/34.28 | |
% 203.76/34.28 | | REDUCE: (6), (19) imply:
% 203.76/34.28 | | (20) op(e0, e2) = e1
% 203.76/34.28 | |
% 203.76/34.28 | | BETA: splitting (16) gives:
% 203.76/34.28 | |
% 203.76/34.28 | | Case 1:
% 203.76/34.28 | | |
% 203.76/34.28 | | | (21) ~ (all_56_12 = e2)
% 203.76/34.28 | | |
% 203.76/34.28 | | | REDUCE: (1), (21) imply:
% 203.76/34.28 | | | (22) $false
% 203.76/34.28 | | |
% 203.76/34.28 | | | CLOSE: (22) is inconsistent.
% 203.76/34.28 | | |
% 203.76/34.28 | | Case 2:
% 203.76/34.28 | | |
% 203.76/34.28 | | | (23) all_56_0 = e3
% 203.76/34.28 | | |
% 203.76/34.28 | | | BETA: splitting (5) gives:
% 203.76/34.28 | | |
% 203.76/34.28 | | | Case 1:
% 203.76/34.28 | | | |
% 203.76/34.28 | | | | (24) all_56_0 = e0
% 203.76/34.28 | | | |
% 203.76/34.28 | | | | COMBINE_EQS: (23), (24) imply:
% 203.76/34.28 | | | | (25) e3 = e0
% 203.76/34.28 | | | |
% 203.76/34.28 | | | | REDUCE: (4), (25) imply:
% 203.76/34.28 | | | | (26) $false
% 203.76/34.28 | | | |
% 203.76/34.28 | | | | CLOSE: (26) is inconsistent.
% 203.76/34.28 | | | |
% 203.76/34.28 | | | Case 2:
% 203.76/34.28 | | | |
% 203.76/34.28 | | | |
% 203.76/34.28 | | | | GROUND_INST: instantiating (7) with e0, e1, e2, e0, simplifying with
% 203.76/34.28 | | | | (9), (20) gives:
% 203.76/34.28 | | | | (27) e1 = e0
% 203.76/34.28 | | | |
% 203.76/34.28 | | | | COMBINE_EQS: (11), (27) imply:
% 203.76/34.28 | | | | (28) all_58_3 = e0
% 203.76/34.28 | | | |
% 203.76/34.28 | | | | REF_CLOSE: (2), (3), (7), (8), (12), (13), (14), (18), (28) are
% 203.76/34.28 | | | | inconsistent by sub-proof #758.
% 203.76/34.28 | | | |
% 203.76/34.28 | | | End of split
% 203.76/34.28 | | |
% 203.76/34.28 | | End of split
% 203.76/34.28 | |
% 203.76/34.28 | Case 2:
% 203.76/34.28 | |
% 203.76/34.28 | | (29) ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11)
% 203.76/34.28 | |
% 203.76/34.28 | | REF_CLOSE: (7), (17), (29) are inconsistent by sub-proof #118.
% 203.76/34.28 | |
% 203.76/34.28 | End of split
% 203.76/34.28 |
% 203.76/34.28 End of proof
% 203.76/34.28
% 203.76/34.28 Sub-proof #55 shows that the following formulas are inconsistent:
% 203.76/34.28 ----------------------------------------------------------------
% 203.76/34.28 (1) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.76/34.28 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.76/34.28 (2) all_58_5 = e3
% 203.76/34.28 (3) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.76/34.28 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.76/34.28 (4) ~ (e3 = e0)
% 203.76/34.28 (5) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.76/34.28 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.76/34.28 (6) op(e2, e2) = all_6_2
% 203.76/34.28 (7) op(e2, e3) = all_52_1
% 203.76/34.28 (8) op(e3, e3) = e2
% 203.76/34.28 (9) ~ (e3 = e2)
% 203.76/34.28 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.28 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.28 (11) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.76/34.28 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.76/34.28 (12) ~ (e3 = e1)
% 203.76/34.28 (13) all_58_13 = e0
% 203.76/34.28 (14) ~ (all_52_13 = e1)
% 203.76/34.28 (15) ~ (all_52_9 = e0)
% 203.76/34.28 (16) op(e0, e2) = e0
% 203.76/34.28 (17) ~ (all_14_2 = e3)
% 203.76/34.28 (18) all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0, e2) = all_56_10 &
% 203.76/34.28 $i(all_56_10))
% 203.76/34.28 (19) op(e2, e0) = all_52_13
% 203.76/34.28 (20) ~ (all_52_1 = e1)
% 203.76/34.28 (21) all_58_6 = e1
% 203.76/34.28 (22) ~ (e1 = e0)
% 203.76/34.28 (23) all_56_15 = e1
% 203.76/34.28 (24) ~ (all_52_9 = e1)
% 203.76/34.28 (25) op(e0, e0) = e1
% 203.76/34.28 (26) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.76/34.28 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.76/34.28 (27) ~ (e2 = e1)
% 203.76/34.28 (28) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.76/34.28 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.76/34.28 (29) op(e3, e3) = all_14_2
% 203.76/34.28 (30) ~ (e2 = e0)
% 203.76/34.28 (31) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.76/34.28 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.76/34.28 e2)
% 203.76/34.28 (32) all_58_14 = e2
% 203.76/34.28 (33) op(e2, e1) = all_52_9
% 203.76/34.28 (34) ~ (all_6_2 = e2)
% 203.76/34.28
% 203.76/34.28 Begin of proof
% 203.76/34.28 |
% 203.76/34.28 | BETA: splitting (5) gives:
% 203.76/34.28 |
% 203.76/34.28 | Case 1:
% 203.76/34.28 | |
% 203.76/34.28 | | (35) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) =
% 203.76/34.28 | | e3)
% 203.76/34.28 | |
% 203.76/34.28 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 203.76/34.28 | | (14), (15), (17), (19), (20), (22), (24), (26), (27), (28), (29),
% 203.76/34.28 | | (30), (33), (34), (35) are inconsistent by sub-proof #56.
% 203.76/34.28 | |
% 203.76/34.28 | Case 2:
% 203.76/34.28 | |
% 203.76/34.28 | | (36) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) =
% 203.76/34.28 | | e3)
% 203.76/34.28 | |
% 203.76/34.28 | | BETA: splitting (36) gives:
% 203.76/34.28 | |
% 203.76/34.28 | | Case 1:
% 203.76/34.28 | | |
% 203.76/34.28 | | | (37) all_58_6 = e3 & op(e1, e3) = e3
% 203.76/34.28 | | |
% 203.76/34.28 | | | REF_CLOSE: (12), (21), (37) are inconsistent by sub-proof #968.
% 203.76/34.28 | | |
% 203.76/34.28 | | Case 2:
% 203.76/34.28 | | |
% 203.76/34.28 | | | (38) all_58_12 = e3 & op(e0, e3) = e3
% 203.76/34.28 | | |
% 203.76/34.28 | | | ALPHA: (38) implies:
% 203.76/34.28 | | | (39) all_58_12 = e3
% 203.76/34.28 | | |
% 203.76/34.28 | | | REF_CLOSE: (9), (10), (13), (16), (18), (23), (25), (27), (30), (31),
% 203.76/34.28 | | | (32), (39) are inconsistent by sub-proof #1332.
% 203.76/34.28 | | |
% 203.76/34.28 | | End of split
% 203.76/34.28 | |
% 203.76/34.28 | End of split
% 203.76/34.28 |
% 203.76/34.28 End of proof
% 203.76/34.28
% 203.76/34.28 Sub-proof #56 shows that the following formulas are inconsistent:
% 203.76/34.28 ----------------------------------------------------------------
% 203.76/34.28 (1) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.76/34.28 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.76/34.28 (2) all_58_5 = e3
% 203.76/34.28 (3) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.76/34.28 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.76/34.28 (4) ~ (e3 = e0)
% 203.76/34.28 (5) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.76/34.28 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.76/34.28 (6) op(e2, e2) = all_6_2
% 203.76/34.28 (7) op(e2, e3) = all_52_1
% 203.76/34.28 (8) op(e3, e3) = e2
% 203.76/34.28 (9) ~ (e3 = e2)
% 203.76/34.28 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.28 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.28 (11) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.76/34.28 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.76/34.28 (12) ~ (e3 = e1)
% 203.76/34.28 (13) ~ (all_52_13 = e1)
% 203.76/34.28 (14) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3)
% 203.76/34.28 (15) ~ (all_52_9 = e0)
% 203.76/34.28 (16) ~ (all_14_2 = e3)
% 203.76/34.28 (17) op(e2, e0) = all_52_13
% 203.76/34.28 (18) ~ (all_52_1 = e1)
% 203.76/34.28 (19) ~ (e1 = e0)
% 203.76/34.28 (20) ~ (all_52_9 = e1)
% 203.76/34.28 (21) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.76/34.28 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.76/34.28 (22) ~ (e2 = e1)
% 203.76/34.28 (23) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.76/34.28 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.76/34.28 (24) op(e3, e3) = all_14_2
% 203.76/34.28 (25) ~ (e2 = e0)
% 203.76/34.28 (26) op(e2, e1) = all_52_9
% 203.76/34.28 (27) ~ (all_6_2 = e2)
% 203.76/34.28
% 203.76/34.28 Begin of proof
% 203.76/34.28 |
% 203.76/34.28 | BETA: splitting (14) gives:
% 203.76/34.28 |
% 203.76/34.28 | Case 1:
% 203.76/34.28 | |
% 203.76/34.28 | | (28) all_58_0 = e3 & op(e3, e3) = e3
% 203.76/34.28 | |
% 203.76/34.28 | | REF_CLOSE: (10), (16), (24), (28) are inconsistent by sub-proof #1415.
% 203.76/34.28 | |
% 203.76/34.28 | Case 2:
% 203.76/34.28 | |
% 203.76/34.28 | | (29) all_58_2 = e3 & op(e2, e3) = e3
% 203.76/34.28 | |
% 203.76/34.28 | | ALPHA: (29) implies:
% 203.76/34.28 | | (30) all_58_2 = e3
% 203.76/34.28 | |
% 203.76/34.28 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 203.76/34.28 | | (13), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 203.76/34.28 | | (25), (26), (27), (30) are inconsistent by sub-proof #64.
% 203.76/34.28 | |
% 203.76/34.28 | End of split
% 203.76/34.28 |
% 203.76/34.28 End of proof
% 203.76/34.28
% 203.76/34.28 Sub-proof #57 shows that the following formulas are inconsistent:
% 203.76/34.28 ----------------------------------------------------------------
% 203.76/34.28 (1) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2)
% 203.76/34.28 (2) ~ (e3 = e0)
% 203.76/34.28 (3) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.76/34.28 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.76/34.28 (4) op(e2, e3) = all_52_1
% 203.76/34.28 (5) ~ (e3 = e2)
% 203.76/34.28 (6) all_58_4 = e1
% 203.76/34.28 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.28 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.28 (8) ~ (e3 = e1)
% 203.76/34.28 (9) ~ (all_52_13 = e1)
% 203.76/34.28 (10) all_58_12 = e2
% 203.76/34.28 (11) ~ (all_14_2 = e3)
% 203.76/34.28 (12) op(e2, e0) = all_52_13
% 203.76/34.28 (13) ~ (all_52_1 = e1)
% 203.76/34.28 (14) all_58_6 = e1
% 203.76/34.28 (15) all_58_3 = e1
% 203.76/34.28 (16) ~ (e1 = e0)
% 203.76/34.28 (17) ~ (all_52_9 = e1)
% 203.76/34.28 (18) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.76/34.28 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.76/34.28 (19) ~ (e2 = e1)
% 203.76/34.28 (20) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.76/34.28 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.76/34.28 (21) op(e3, e3) = all_14_2
% 203.76/34.28 (22) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2) |
% 203.76/34.28 (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) = e2)
% 203.76/34.28 (23) ~ (e2 = e0)
% 203.76/34.28 (24) op(e2, e1) = all_52_9
% 203.76/34.28 (25) ~ (all_52_9 = e2)
% 203.76/34.28
% 203.76/34.28 Begin of proof
% 203.76/34.28 |
% 203.76/34.28 | BETA: splitting (1) gives:
% 203.76/34.28 |
% 203.76/34.28 | Case 1:
% 203.76/34.28 | |
% 203.76/34.28 | | (26) all_58_4 = e2 & op(e3, e1) = e2
% 203.76/34.28 | |
% 203.76/34.28 | | ALPHA: (26) implies:
% 203.76/34.28 | | (27) all_58_4 = e2
% 203.76/34.28 | |
% 203.76/34.28 | | COMBINE_EQS: (6), (27) imply:
% 203.76/34.28 | | (28) e2 = e1
% 203.76/34.28 | |
% 203.76/34.28 | | SIMP: (28) implies:
% 203.76/34.28 | | (29) e2 = e1
% 203.76/34.28 | |
% 203.76/34.28 | | COMBINE_EQS: (10), (29) imply:
% 203.76/34.28 | | (30) all_58_12 = e1
% 203.76/34.28 | |
% 203.76/34.28 | | BETA: splitting (3) gives:
% 203.76/34.28 | |
% 203.76/34.28 | | Case 1:
% 203.76/34.28 | | |
% 203.76/34.28 | | | (31) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) =
% 203.76/34.28 | | | e3)
% 203.76/34.28 | | |
% 203.76/34.28 | | | BETA: splitting (31) gives:
% 203.76/34.28 | | |
% 203.76/34.28 | | | Case 1:
% 203.76/34.28 | | | |
% 203.76/34.28 | | | | (32) all_58_0 = e3 & op(e3, e3) = e3
% 203.76/34.28 | | | |
% 203.76/34.28 | | | | REF_CLOSE: (7), (11), (21), (32) are inconsistent by sub-proof #1415.
% 203.76/34.28 | | | |
% 203.76/34.28 | | | Case 2:
% 203.76/34.28 | | | |
% 203.76/34.28 | | | | (33) all_58_2 = e3 & op(e2, e3) = e3
% 203.76/34.28 | | | |
% 203.76/34.28 | | | | ALPHA: (33) implies:
% 203.76/34.28 | | | | (34) all_58_2 = e3
% 203.76/34.28 | | | |
% 203.76/34.28 | | | | REF_CLOSE: (2), (4), (5), (7), (9), (12), (13), (14), (15), (16), (17),
% 203.76/34.28 | | | | (18), (19), (20), (22), (23), (24), (30), (34) are
% 203.76/34.28 | | | | inconsistent by sub-proof #61.
% 203.76/34.28 | | | |
% 203.76/34.28 | | | End of split
% 203.76/34.28 | | |
% 203.76/34.28 | | Case 2:
% 203.76/34.28 | | |
% 203.76/34.28 | | | (35) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) =
% 203.76/34.28 | | | e3)
% 203.76/34.28 | | |
% 203.76/34.28 | | | REF_CLOSE: (8), (14), (30), (35) are inconsistent by sub-proof #313.
% 203.76/34.28 | | |
% 203.76/34.28 | | End of split
% 203.76/34.28 | |
% 203.76/34.28 | Case 2:
% 203.76/34.28 | |
% 203.76/34.28 | | (36) all_58_5 = e2 & op(e2, e1) = e2
% 203.76/34.28 | |
% 203.76/34.28 | | ALPHA: (36) implies:
% 203.76/34.28 | | (37) op(e2, e1) = e2
% 203.76/34.28 | |
% 203.76/34.28 | | REF_CLOSE: (7), (24), (25), (37) are inconsistent by sub-proof #254.
% 203.76/34.28 | |
% 203.76/34.28 | End of split
% 203.76/34.28 |
% 203.76/34.28 End of proof
% 203.76/34.28
% 203.76/34.28 Sub-proof #58 shows that the following formulas are inconsistent:
% 203.76/34.28 ----------------------------------------------------------------
% 203.76/34.28 (1) ~ (all_52_3 = e3)
% 203.76/34.28 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.28 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.28 (3) ~ (e3 = e1)
% 203.76/34.28 (4) op(e0, e3) = all_52_3
% 203.76/34.28 (5) all_58_6 = e1
% 203.76/34.28 (6) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.76/34.28
% 203.76/34.28 Begin of proof
% 203.76/34.28 |
% 203.76/34.28 | BETA: splitting (6) gives:
% 203.76/34.28 |
% 203.76/34.28 | Case 1:
% 203.76/34.28 | |
% 203.76/34.28 | | (7) all_58_6 = e3 & op(e1, e3) = e3
% 203.76/34.28 | |
% 203.76/34.28 | | ALPHA: (7) implies:
% 203.76/34.28 | | (8) all_58_6 = e3
% 203.76/34.28 | |
% 203.76/34.28 | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #1238.
% 203.76/34.28 | |
% 203.76/34.28 | Case 2:
% 203.76/34.28 | |
% 203.76/34.28 | | (9) all_58_12 = e3 & op(e0, e3) = e3
% 203.76/34.28 | |
% 203.76/34.28 | | ALPHA: (9) implies:
% 203.76/34.28 | | (10) op(e0, e3) = e3
% 203.76/34.28 | |
% 203.76/34.28 | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1070.
% 203.76/34.28 | |
% 203.76/34.28 | End of split
% 203.76/34.28 |
% 203.76/34.28 End of proof
% 203.76/34.28
% 203.76/34.28 Sub-proof #59 shows that the following formulas are inconsistent:
% 203.76/34.28 ----------------------------------------------------------------
% 203.76/34.28 (1) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.76/34.28 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.76/34.28 (2) all_58_11 = e3
% 203.76/34.28 (3) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.76/34.28 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.76/34.28 (4) ~ (e3 = e0)
% 203.76/34.28 (5) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.76/34.28 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.76/34.28 (6) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.76/34.28 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.76/34.28 (7) op(e2, e3) = all_52_1
% 203.76/34.28 (8) op(e3, e3) = e2
% 203.76/34.28 (9) ~ (e3 = e2)
% 203.76/34.28 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.28 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.28 (11) ~ (e3 = e1)
% 203.76/34.28 (12) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.76/34.28 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.76/34.28 (13) ~ (all_52_13 = e1)
% 203.76/34.28 (14) ~ (all_52_9 = e0)
% 203.76/34.28 (15) ~ (all_14_2 = e3)
% 203.76/34.28 (16) op(e2, e0) = all_52_13
% 203.76/34.28 (17) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 = e2 & op(e2, e0) = e2) |
% 203.76/34.28 (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 = e2 & op(e0, e0) = e2)
% 203.76/34.28 (18) ~ (all_52_1 = e1)
% 203.76/34.28 (19) ~ (e1 = e0)
% 203.76/34.28 (20) all_58_1 = e3
% 203.76/34.28 (21) ~ (all_52_9 = e1)
% 203.76/34.28 (22) op(e0, e0) = e1
% 203.76/34.28 (23) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.76/34.28 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.76/34.28 (24) ~ (e2 = e1)
% 203.76/34.28 (25) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.76/34.28 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.76/34.28 (26) op(e3, e3) = all_14_2
% 203.76/34.28 (27) ~ (e2 = e0)
% 203.76/34.28 (28) op(e2, e1) = all_52_9
% 203.76/34.28 (29) all_58_2 = e3
% 203.76/34.28
% 203.76/34.28 Begin of proof
% 203.76/34.28 |
% 203.76/34.28 | BETA: splitting (17) gives:
% 203.76/34.28 |
% 203.76/34.28 | Case 1:
% 203.76/34.28 | |
% 203.76/34.28 | | (30) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 = e2 & op(e2, e0) =
% 203.76/34.28 | | e2)
% 203.76/34.28 | |
% 203.76/34.28 | | BETA: splitting (30) gives:
% 203.76/34.28 | |
% 203.76/34.28 | | Case 1:
% 203.76/34.28 | | |
% 203.76/34.28 | | | (31) all_58_9 = e2 & op(e3, e0) = e2
% 203.76/34.28 | | |
% 203.76/34.28 | | | ALPHA: (31) implies:
% 203.76/34.28 | | | (32) all_58_9 = e2
% 203.76/34.28 | | |
% 203.76/34.28 | | | REF_CLOSE: (4), (5), (8), (10), (11), (12), (19), (20), (24), (27), (32)
% 203.76/34.28 | | | are inconsistent by sub-proof #1256.
% 203.76/34.28 | | |
% 203.76/34.28 | | Case 2:
% 203.76/34.28 | | |
% 203.76/34.28 | | | (33) all_58_10 = e2 & op(e2, e0) = e2
% 203.76/34.28 | | |
% 203.76/34.28 | | | REF_CLOSE: (1), (4), (7), (10), (13), (14), (16), (18), (19), (21), (23),
% 203.76/34.28 | | | (27), (28), (29), (33) are inconsistent by sub-proof #60.
% 203.76/34.28 | | |
% 203.76/34.28 | | End of split
% 203.76/34.28 | |
% 203.76/34.28 | Case 2:
% 203.76/34.28 | |
% 203.76/34.28 | | (34) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.76/34.28 | | e2)
% 203.76/34.28 | |
% 203.76/34.28 | | BETA: splitting (34) gives:
% 203.76/34.28 | |
% 203.76/34.28 | | Case 1:
% 203.76/34.28 | | |
% 203.76/34.28 | | | (35) all_58_11 = e2 & op(e1, e0) = e2
% 203.76/34.28 | | |
% 203.76/34.28 | | | ALPHA: (35) implies:
% 203.76/34.28 | | | (36) all_58_11 = e2
% 203.76/34.28 | | |
% 203.76/34.28 | | | COMBINE_EQS: (2), (36) imply:
% 203.76/34.28 | | | (37) e3 = e2
% 203.76/34.28 | | |
% 203.76/34.28 | | | COMBINE_EQS: (29), (37) imply:
% 203.76/34.28 | | | (38) all_58_2 = e2
% 203.76/34.28 | | |
% 203.76/34.28 | | | REF_CLOSE: (3), (4), (6), (8), (9), (10), (11), (15), (19), (24), (25),
% 203.76/34.28 | | | (26), (27), (38) are inconsistent by sub-proof #1234.
% 203.76/34.28 | | |
% 203.76/34.28 | | Case 2:
% 203.76/34.28 | | |
% 203.76/34.28 | | | (39) all_58_15 = e2 & op(e0, e0) = e2
% 203.76/34.28 | | |
% 203.76/34.28 | | | ALPHA: (39) implies:
% 203.76/34.28 | | | (40) op(e0, e0) = e2
% 203.76/34.28 | | |
% 203.76/34.28 | | | REF_CLOSE: (10), (22), (24), (40) are inconsistent by sub-proof #1869.
% 203.76/34.28 | | |
% 203.76/34.28 | | End of split
% 203.76/34.28 | |
% 203.76/34.28 | End of split
% 203.76/34.28 |
% 203.76/34.28 End of proof
% 203.76/34.28
% 203.76/34.28 Sub-proof #60 shows that the following formulas are inconsistent:
% 203.76/34.28 ----------------------------------------------------------------
% 203.76/34.28 (1) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.76/34.28 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.76/34.28 (2) ~ (e3 = e0)
% 203.76/34.28 (3) op(e2, e3) = all_52_1
% 203.76/34.28 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.28 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.28 (5) ~ (all_52_13 = e1)
% 203.76/34.28 (6) ~ (all_52_9 = e0)
% 203.76/34.28 (7) all_58_10 = e2 & op(e2, e0) = e2
% 203.76/34.28 (8) op(e2, e0) = all_52_13
% 203.76/34.28 (9) ~ (all_52_1 = e1)
% 203.76/34.28 (10) ~ (e1 = e0)
% 203.76/34.28 (11) ~ (all_52_9 = e1)
% 203.76/34.29 (12) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.76/34.29 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.76/34.29 (13) ~ (e2 = e0)
% 203.76/34.29 (14) op(e2, e1) = all_52_9
% 203.76/34.29 (15) all_58_2 = e3
% 203.76/34.29
% 203.76/34.29 Begin of proof
% 203.76/34.29 |
% 203.76/34.29 | ALPHA: (7) implies:
% 203.76/34.29 | (16) all_58_10 = e2
% 203.76/34.29 |
% 203.76/34.29 | BETA: splitting (1) gives:
% 203.76/34.29 |
% 203.76/34.29 | Case 1:
% 203.76/34.29 | |
% 203.76/34.29 | | (17) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) =
% 203.76/34.29 | | e0)
% 203.76/34.29 | |
% 203.76/34.29 | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (10), (11), (12), (14), (15), (17)
% 203.76/34.29 | | are inconsistent by sub-proof #66.
% 203.76/34.29 | |
% 203.76/34.29 | Case 2:
% 203.76/34.29 | |
% 203.76/34.29 | | (18) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) =
% 203.76/34.29 | | e0)
% 203.76/34.29 | |
% 203.76/34.29 | | BETA: splitting (18) gives:
% 203.76/34.29 | |
% 203.76/34.29 | | Case 1:
% 203.76/34.29 | | |
% 203.76/34.29 | | | (19) all_58_5 = e0 & op(e2, e1) = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | ALPHA: (19) implies:
% 203.76/34.29 | | | (20) op(e2, e1) = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | REF_CLOSE: (4), (6), (14), (20) are inconsistent by sub-proof #1904.
% 203.76/34.29 | | |
% 203.76/34.29 | | Case 2:
% 203.76/34.29 | | |
% 203.76/34.29 | | | (21) all_58_10 = e0 & op(e2, e0) = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | ALPHA: (21) implies:
% 203.76/34.29 | | | (22) all_58_10 = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | REF_CLOSE: (13), (16), (22) are inconsistent by sub-proof #1886.
% 203.76/34.29 | | |
% 203.76/34.29 | | End of split
% 203.76/34.29 | |
% 203.76/34.29 | End of split
% 203.76/34.29 |
% 203.76/34.29 End of proof
% 203.76/34.29
% 203.76/34.29 Sub-proof #61 shows that the following formulas are inconsistent:
% 203.76/34.29 ----------------------------------------------------------------
% 203.76/34.29 (1) ~ (e3 = e0)
% 203.76/34.29 (2) op(e2, e3) = all_52_1
% 203.76/34.29 (3) ~ (e3 = e2)
% 203.76/34.29 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.29 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.29 (5) all_58_12 = e1
% 203.76/34.29 (6) ~ (all_52_13 = e1)
% 203.76/34.29 (7) op(e2, e0) = all_52_13
% 203.76/34.29 (8) ~ (all_52_1 = e1)
% 203.76/34.29 (9) all_58_6 = e1
% 203.76/34.29 (10) all_58_3 = e1
% 203.76/34.29 (11) ~ (e1 = e0)
% 203.76/34.29 (12) ~ (all_52_9 = e1)
% 203.76/34.29 (13) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.76/34.29 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.76/34.29 (14) ~ (e2 = e1)
% 203.76/34.29 (15) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.76/34.29 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.76/34.29 (16) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2) |
% 203.76/34.29 (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) = e2)
% 203.76/34.29 (17) ~ (e2 = e0)
% 203.76/34.29 (18) op(e2, e1) = all_52_9
% 203.76/34.29 (19) all_58_2 = e3
% 203.76/34.29
% 203.76/34.29 Begin of proof
% 203.76/34.29 |
% 203.76/34.29 | BETA: splitting (15) gives:
% 203.76/34.29 |
% 203.76/34.29 | Case 1:
% 203.76/34.29 | |
% 203.76/34.29 | | (20) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) =
% 203.76/34.29 | | e0)
% 203.76/34.29 | |
% 203.76/34.29 | | BETA: splitting (20) gives:
% 203.76/34.29 | |
% 203.76/34.29 | | Case 1:
% 203.76/34.29 | | |
% 203.76/34.29 | | | (21) all_58_0 = e0 & op(e3, e3) = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | ALPHA: (21) implies:
% 203.76/34.29 | | | (22) op(e3, e3) = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | REF_CLOSE: (3), (4), (5), (9), (14), (16), (17), (19), (22) are
% 203.76/34.29 | | | inconsistent by sub-proof #431.
% 203.76/34.29 | | |
% 203.76/34.29 | | Case 2:
% 203.76/34.29 | | |
% 203.76/34.29 | | | (23) all_58_2 = e0 & op(e2, e3) = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | REF_CLOSE: (1), (19), (23) are inconsistent by sub-proof #1387.
% 203.76/34.29 | | |
% 203.76/34.29 | | End of split
% 203.76/34.29 | |
% 203.76/34.29 | Case 2:
% 203.76/34.29 | |
% 203.76/34.29 | | (24) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) =
% 203.76/34.29 | | e0)
% 203.76/34.29 | |
% 203.76/34.29 | | BETA: splitting (24) gives:
% 203.76/34.29 | |
% 203.76/34.29 | | Case 1:
% 203.76/34.29 | | |
% 203.76/34.29 | | | (25) all_58_6 = e0 & op(e1, e3) = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | ALPHA: (25) implies:
% 203.76/34.29 | | | (26) all_58_6 = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | COMBINE_EQS: (9), (26) imply:
% 203.76/34.29 | | | (27) e1 = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | REF_CLOSE: (2), (4), (6), (7), (8), (10), (11), (12), (13), (18), (27) are
% 203.76/34.29 | | | inconsistent by sub-proof #92.
% 203.76/34.29 | | |
% 203.76/34.29 | | Case 2:
% 203.76/34.29 | | |
% 203.76/34.29 | | | (28) all_58_12 = e0 & op(e0, e3) = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | ALPHA: (28) implies:
% 203.76/34.29 | | | (29) all_58_12 = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | COMBINE_EQS: (5), (29) imply:
% 203.76/34.29 | | | (30) e1 = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | REF_CLOSE: (2), (4), (6), (7), (8), (10), (11), (12), (13), (18), (30) are
% 203.76/34.29 | | | inconsistent by sub-proof #92.
% 203.76/34.29 | | |
% 203.76/34.29 | | End of split
% 203.76/34.29 | |
% 203.76/34.29 | End of split
% 203.76/34.29 |
% 203.76/34.29 End of proof
% 203.76/34.29
% 203.76/34.29 Sub-proof #62 shows that the following formulas are inconsistent:
% 203.76/34.29 ----------------------------------------------------------------
% 203.76/34.29 (1) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.76/34.29 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.76/34.29 (2) ~ (e3 = e0)
% 203.76/34.29 (3) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) = e2)
% 203.76/34.29 (4) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.76/34.29 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.76/34.29 (5) op(e3, e3) = e2
% 203.76/34.29 (6) ~ (e3 = e2)
% 203.76/34.29 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.29 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.29 (8) all_58_14 = e3
% 203.76/34.29 (9) ~ (e3 = e1)
% 203.76/34.29 (10) ~ (all_14_2 = e3)
% 203.76/34.29 (11) ~ (e1 = e0)
% 203.76/34.29 (12) op(e0, e0) = e1
% 203.76/34.29 (13) ~ (e2 = e1)
% 203.76/34.29 (14) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.76/34.29 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.76/34.29 (15) op(e3, e3) = all_14_2
% 203.76/34.29 (16) ~ (e2 = e0)
% 203.76/34.29 (17) all_58_2 = e3
% 203.76/34.29
% 203.76/34.29 Begin of proof
% 203.76/34.29 |
% 203.76/34.29 | BETA: splitting (3) gives:
% 203.76/34.29 |
% 203.76/34.29 | Case 1:
% 203.76/34.29 | |
% 203.76/34.29 | | (18) all_58_14 = e2 & op(e0, e1) = e2
% 203.76/34.29 | |
% 203.76/34.29 | | ALPHA: (18) implies:
% 203.76/34.29 | | (19) all_58_14 = e2
% 203.76/34.29 | |
% 203.76/34.29 | | COMBINE_EQS: (8), (19) imply:
% 203.76/34.29 | | (20) e3 = e2
% 203.76/34.29 | |
% 203.76/34.29 | | COMBINE_EQS: (17), (20) imply:
% 203.76/34.29 | | (21) all_58_2 = e2
% 203.76/34.29 | |
% 203.76/34.29 | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (10), (11), (13), (14), (15),
% 203.76/34.29 | | (16), (21) are inconsistent by sub-proof #1234.
% 203.76/34.29 | |
% 203.76/34.29 | Case 2:
% 203.76/34.29 | |
% 203.76/34.29 | | (22) all_58_15 = e2 & op(e0, e0) = e2
% 203.76/34.29 | |
% 203.76/34.29 | | ALPHA: (22) implies:
% 203.76/34.29 | | (23) op(e0, e0) = e2
% 203.76/34.29 | |
% 203.76/34.29 | | REF_CLOSE: (7), (12), (13), (23) are inconsistent by sub-proof #1869.
% 203.76/34.29 | |
% 203.76/34.29 | End of split
% 203.76/34.29 |
% 203.76/34.29 End of proof
% 203.76/34.29
% 203.76/34.29 Sub-proof #63 shows that the following formulas are inconsistent:
% 203.76/34.29 ----------------------------------------------------------------
% 203.76/34.29 (1) op(e1, e2) = all_52_6
% 203.76/34.29 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.29 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.29 (3) ~ (all_52_6 = e0)
% 203.76/34.29 (4) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.76/34.29 (5) all_58_13 = e2
% 203.76/34.29 (6) ~ (e2 = e0)
% 203.76/34.29
% 203.76/34.29 Begin of proof
% 203.76/34.29 |
% 203.76/34.29 | BETA: splitting (4) gives:
% 203.76/34.29 |
% 203.76/34.29 | Case 1:
% 203.76/34.29 | |
% 203.76/34.29 | | (7) all_58_7 = e0 & op(e1, e2) = e0
% 203.76/34.29 | |
% 203.76/34.29 | | ALPHA: (7) implies:
% 203.76/34.29 | | (8) op(e1, e2) = e0
% 203.76/34.29 | |
% 203.76/34.29 | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #274.
% 203.76/34.29 | |
% 203.76/34.29 | Case 2:
% 203.76/34.29 | |
% 203.76/34.29 | | (9) all_58_13 = e0 & op(e0, e2) = e0
% 203.76/34.29 | |
% 203.76/34.29 | | REF_CLOSE: (5), (6), (9) are inconsistent by sub-proof #1547.
% 203.76/34.29 | |
% 203.76/34.29 | End of split
% 203.76/34.29 |
% 203.76/34.29 End of proof
% 203.76/34.29
% 203.76/34.29 Sub-proof #64 shows that the following formulas are inconsistent:
% 203.76/34.29 ----------------------------------------------------------------
% 203.76/34.29 (1) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.76/34.29 (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) = e0)
% 203.76/34.29 (2) all_58_5 = e3
% 203.76/34.29 (3) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.76/34.29 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.76/34.29 (4) ~ (e3 = e0)
% 203.76/34.29 (5) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.76/34.29 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.76/34.29 (6) op(e2, e2) = all_6_2
% 203.76/34.29 (7) op(e2, e3) = all_52_1
% 203.76/34.29 (8) op(e3, e3) = e2
% 203.76/34.29 (9) ~ (e3 = e2)
% 203.76/34.29 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.29 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.29 (11) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.76/34.29 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.76/34.29 (12) ~ (e3 = e1)
% 203.76/34.29 (13) ~ (all_52_13 = e1)
% 203.76/34.29 (14) ~ (all_52_9 = e0)
% 203.76/34.29 (15) ~ (all_14_2 = e3)
% 203.76/34.29 (16) op(e2, e0) = all_52_13
% 203.76/34.29 (17) ~ (all_52_1 = e1)
% 203.76/34.29 (18) ~ (e1 = e0)
% 203.76/34.29 (19) ~ (all_52_9 = e1)
% 203.76/34.29 (20) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.76/34.29 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.76/34.29 (21) ~ (e2 = e1)
% 203.76/34.29 (22) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.76/34.29 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.76/34.29 (23) op(e3, e3) = all_14_2
% 203.76/34.29 (24) ~ (e2 = e0)
% 203.76/34.29 (25) op(e2, e1) = all_52_9
% 203.76/34.29 (26) all_58_2 = e3
% 203.76/34.29 (27) ~ (all_6_2 = e2)
% 203.76/34.29
% 203.76/34.29 Begin of proof
% 203.76/34.29 |
% 203.76/34.29 | BETA: splitting (1) gives:
% 203.76/34.29 |
% 203.76/34.29 | Case 1:
% 203.76/34.29 | |
% 203.76/34.29 | | (28) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) =
% 203.76/34.29 | | e0)
% 203.76/34.29 | |
% 203.76/34.29 | | REF_CLOSE: (4), (7), (10), (13), (16), (17), (18), (19), (20), (25), (26),
% 203.76/34.29 | | (28) are inconsistent by sub-proof #66.
% 203.76/34.29 | |
% 203.76/34.29 | Case 2:
% 203.76/34.29 | |
% 203.76/34.29 | | (29) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) =
% 203.76/34.29 | | e0)
% 203.76/34.29 | |
% 203.76/34.29 | | BETA: splitting (29) gives:
% 203.76/34.29 | |
% 203.76/34.29 | | Case 1:
% 203.76/34.29 | | |
% 203.76/34.29 | | | (30) all_58_5 = e0 & op(e2, e1) = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | ALPHA: (30) implies:
% 203.76/34.29 | | | (31) op(e2, e1) = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | REF_CLOSE: (10), (14), (25), (31) are inconsistent by sub-proof #1904.
% 203.76/34.29 | | |
% 203.76/34.29 | | Case 2:
% 203.76/34.29 | | |
% 203.76/34.29 | | | (32) all_58_10 = e0 & op(e2, e0) = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | ALPHA: (32) implies:
% 203.76/34.29 | | | (33) all_58_10 = e0
% 203.76/34.29 | | |
% 203.76/34.29 | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (15),
% 203.76/34.29 | | | (18), (21), (22), (23), (24), (27), (33) are inconsistent by
% 203.76/34.29 | | | sub-proof #65.
% 203.76/34.29 | | |
% 203.76/34.29 | | End of split
% 203.76/34.29 | |
% 203.76/34.29 | End of split
% 203.76/34.29 |
% 203.76/34.29 End of proof
% 203.76/34.29
% 203.76/34.29 Sub-proof #65 shows that the following formulas are inconsistent:
% 203.76/34.29 ----------------------------------------------------------------
% 203.76/34.29 (1) all_58_5 = e3
% 203.76/34.29 (2) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.76/34.29 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.76/34.29 (3) ~ (e3 = e0)
% 203.76/34.29 (4) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.76/34.29 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.76/34.29 (5) op(e2, e2) = all_6_2
% 203.76/34.29 (6) op(e3, e3) = e2
% 203.76/34.29 (7) ~ (e3 = e2)
% 203.76/34.29 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.29 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.29 (9) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.76/34.29 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.76/34.29 (10) ~ (e3 = e1)
% 203.76/34.29 (11) all_58_10 = e0
% 203.76/34.29 (12) ~ (all_14_2 = e3)
% 203.76/34.29 (13) ~ (e1 = e0)
% 203.76/34.29 (14) ~ (e2 = e1)
% 203.76/34.29 (15) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.76/34.29 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.76/34.29 (16) op(e3, e3) = all_14_2
% 203.76/34.29 (17) ~ (e2 = e0)
% 203.76/34.29 (18) ~ (all_6_2 = e2)
% 203.76/34.29
% 203.76/34.29 Begin of proof
% 203.76/34.29 |
% 203.76/34.29 | BETA: splitting (9) gives:
% 203.76/34.29 |
% 203.76/34.29 | Case 1:
% 203.76/34.29 | |
% 203.76/34.29 | | (19) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) =
% 203.76/34.29 | | e2)
% 203.76/34.29 | |
% 203.76/34.29 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (12), (13), (14), (15),
% 203.76/34.29 | | (16), (17), (18), (19) are inconsistent by sub-proof #623.
% 203.76/34.29 | |
% 203.76/34.29 | Case 2:
% 203.76/34.29 | |
% 203.76/34.29 | | (20) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) =
% 203.76/34.29 | | e2)
% 203.76/34.29 | |
% 203.76/34.29 | | BETA: splitting (20) gives:
% 203.76/34.29 | |
% 203.76/34.29 | | Case 1:
% 203.76/34.29 | | |
% 203.76/34.29 | | | (21) all_58_5 = e2 & op(e2, e1) = e2
% 203.76/34.29 | | |
% 203.76/34.29 | | | REF_CLOSE: (1), (7), (21) are inconsistent by sub-proof #936.
% 203.76/34.29 | | |
% 203.76/34.29 | | Case 2:
% 203.76/34.29 | | |
% 203.76/34.29 | | | (22) all_58_10 = e2 & op(e2, e0) = e2
% 203.76/34.29 | | |
% 203.76/34.29 | | | REF_CLOSE: (11), (17), (22) are inconsistent by sub-proof #1521.
% 203.76/34.29 | | |
% 203.76/34.29 | | End of split
% 203.76/34.29 | |
% 203.76/34.29 | End of split
% 203.76/34.29 |
% 203.76/34.29 End of proof
% 203.76/34.29
% 203.76/34.29 Sub-proof #66 shows that the following formulas are inconsistent:
% 203.76/34.29 ----------------------------------------------------------------
% 203.76/34.29 (1) ~ (e3 = e0)
% 203.76/34.29 (2) op(e2, e3) = all_52_1
% 203.76/34.29 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.76/34.29 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.76/34.29 (4) ~ (all_52_13 = e1)
% 203.76/34.29 (5) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0)
% 203.76/34.29 (6) op(e2, e0) = all_52_13
% 203.76/34.29 (7) ~ (all_52_1 = e1)
% 203.76/34.29 (8) ~ (e1 = e0)
% 203.76/34.29 (9) ~ (all_52_9 = e1)
% 203.76/34.29 (10) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.76/34.29 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.76/34.29 (11) op(e2, e1) = all_52_9
% 203.76/34.29 (12) all_58_2 = e3
% 203.76/34.29
% 203.76/34.29 Begin of proof
% 203.76/34.29 |
% 203.76/34.29 | BETA: splitting (5) gives:
% 203.76/34.29 |
% 203.76/34.29 | Case 1:
% 203.76/34.29 | |
% 203.76/34.29 | | (13) all_58_2 = e0 & op(e2, e3) = e0
% 203.76/34.29 | |
% 203.76/34.29 | | ALPHA: (13) implies:
% 203.76/34.29 | | (14) all_58_2 = e0
% 203.76/34.29 | |
% 203.76/34.29 | | REF_CLOSE: (1), (12), (14) are inconsistent by sub-proof #1925.
% 203.76/34.29 | |
% 203.76/34.29 | Case 2:
% 203.76/34.29 | |
% 203.76/34.29 | | (15) all_58_3 = e0 & op(e2, e2) = e0
% 203.76/34.29 | |
% 203.76/34.29 | | ALPHA: (15) implies:
% 203.76/34.29 | | (16) all_58_3 = e0
% 203.76/34.29 | |
% 203.76/34.29 | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (16) are
% 203.76/34.29 | | inconsistent by sub-proof #105.
% 203.76/34.29 | |
% 203.76/34.29 | End of split
% 203.76/34.29 |
% 203.76/34.29 End of proof
% 203.76/34.29
% 203.76/34.29 Sub-proof #67 shows that the following formulas are inconsistent:
% 203.76/34.29 ----------------------------------------------------------------
% 203.76/34.29 (1) ~ (e3 = e0)
% 203.76/34.29 (2) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.76/34.29 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.76/34.29 (3) ~ (e3 = e2)
% 203.88/34.29 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.29 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.29 (5) ~ (e3 = e1)
% 203.88/34.29 (6) all_58_12 = e3
% 203.88/34.29 (7) all_58_11 = e1
% 203.88/34.29 (8) all_58_11 = e3 & op(e1, e0) = e3
% 203.88/34.29 (9) op(e3, e3) = e1
% 203.88/34.29 (10) all_58_6 = e0
% 203.88/34.29 (11) ~ (e2 = e1)
% 203.88/34.29 (12) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2) |
% 203.88/34.29 (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) = e2)
% 203.88/34.29 (13) ~ (e2 = e0)
% 203.88/34.29
% 203.88/34.29 Begin of proof
% 203.88/34.29 |
% 203.88/34.29 | ALPHA: (8) implies:
% 203.88/34.29 | (14) all_58_11 = e3
% 203.88/34.29 |
% 203.88/34.29 | COMBINE_EQS: (7), (14) imply:
% 203.88/34.29 | (15) e3 = e1
% 203.88/34.29 |
% 203.88/34.29 | SIMP: (15) implies:
% 203.88/34.29 | (16) e3 = e1
% 203.88/34.29 |
% 203.88/34.29 | COMBINE_EQS: (6), (16) imply:
% 203.88/34.29 | (17) all_58_12 = e1
% 203.88/34.29 |
% 203.88/34.29 | REF_CLOSE: (1), (2), (3), (4), (5), (9), (10), (11), (12), (13), (17) are
% 203.88/34.29 | inconsistent by sub-proof #123.
% 203.88/34.29 |
% 203.88/34.29 End of proof
% 203.88/34.29
% 203.88/34.29 Sub-proof #68 shows that the following formulas are inconsistent:
% 203.88/34.29 ----------------------------------------------------------------
% 203.88/34.29 (1) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.88/34.29 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.88/34.29 (2) ~ (all_10_2 = e3)
% 203.88/34.29 (3) ~ (e3 = e0)
% 203.88/34.29 (4) op(e0, e0) = all_10_2
% 203.88/34.29 (5) op(e2, e2) = all_6_2
% 203.88/34.29 (6) all_58_12 = e0
% 203.88/34.29 (7) op(e1, e2) = all_52_6
% 203.88/34.29 (8) op(e2, e3) = all_52_1
% 203.88/34.29 (9) ~ (e3 = e2)
% 203.88/34.29 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.29 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.29 (11) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.88/34.29 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.88/34.29 (12) ~ (e3 = e1)
% 203.88/34.29 (13) ~ (all_52_6 = e0)
% 203.88/34.29 (14) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.88/34.29 | (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 = e3 & op(e0, e0) =
% 203.88/34.29 e3)
% 203.88/34.29 (15) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.88/34.29 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.88/34.29 (16) ~ (all_52_13 = e1)
% 203.88/34.29 (17) all_58_13 = e2
% 203.88/34.29 (18) op(e2, e0) = all_52_13
% 203.88/34.29 (19) ~ (all_52_1 = e1)
% 203.88/34.29 (20) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.88/34.29 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.88/34.29 (21) all_58_3 = e1
% 203.88/34.29 (22) ~ (e1 = e0)
% 203.88/34.29 (23) all_58_8 = e0
% 203.88/34.29 (24) ~ (all_52_9 = e1)
% 203.88/34.29 (25) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.88/34.29 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.88/34.29 (26) all_58_4 = e2
% 203.88/34.29 (27) ~ (e2 = e1)
% 203.88/34.29 (28) op(e2, e2) = e1
% 203.88/34.29 (29) ~ (e2 = e0)
% 203.88/34.29 (30) op(e2, e1) = all_52_9
% 203.88/34.29 (31) ~ (all_6_2 = e2)
% 203.88/34.29
% 203.88/34.29 Begin of proof
% 203.88/34.29 |
% 203.88/34.29 | BETA: splitting (20) gives:
% 203.88/34.29 |
% 203.88/34.29 | Case 1:
% 203.88/34.29 | |
% 203.88/34.29 | | (32) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) =
% 203.88/34.29 | | e1)
% 203.88/34.29 | |
% 203.88/34.29 | | REF_CLOSE: (1), (3), (5), (7), (8), (9), (10), (11), (12), (13), (15), (16),
% 203.88/34.29 | | (17), (18), (19), (22), (24), (25), (26), (27), (28), (29), (30),
% 203.88/34.29 | | (31), (32) are inconsistent by sub-proof #69.
% 203.88/34.29 | |
% 203.88/34.29 | Case 2:
% 203.88/34.29 | |
% 203.88/34.29 | | (33) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) =
% 203.88/34.29 | | e1)
% 203.88/34.29 | |
% 203.88/34.29 | | BETA: splitting (33) gives:
% 203.88/34.29 | |
% 203.88/34.29 | | Case 1:
% 203.88/34.29 | | |
% 203.88/34.29 | | | (34) all_58_8 = e1 & op(e1, e1) = e1
% 203.88/34.29 | | |
% 203.88/34.29 | | | ALPHA: (34) implies:
% 203.88/34.29 | | | (35) all_58_8 = e1
% 203.88/34.29 | | |
% 203.88/34.29 | | | COMBINE_EQS: (23), (35) imply:
% 203.88/34.29 | | | (36) e1 = e0
% 203.88/34.29 | | |
% 203.88/34.29 | | | REF_CLOSE: (8), (10), (16), (18), (19), (21), (22), (24), (25), (30), (36)
% 203.88/34.29 | | | are inconsistent by sub-proof #92.
% 203.88/34.29 | | |
% 203.88/34.29 | | Case 2:
% 203.88/34.29 | | |
% 203.88/34.29 | | | (37) all_58_14 = e1 & op(e0, e1) = e1
% 203.88/34.29 | | |
% 203.88/34.29 | | | ALPHA: (37) implies:
% 203.88/34.29 | | | (38) all_58_14 = e1
% 203.88/34.29 | | |
% 203.88/34.29 | | | REF_CLOSE: (2), (3), (4), (6), (9), (10), (12), (14), (17), (38) are
% 203.88/34.29 | | | inconsistent by sub-proof #257.
% 203.88/34.29 | | |
% 203.88/34.29 | | End of split
% 203.88/34.29 | |
% 203.88/34.29 | End of split
% 203.88/34.29 |
% 203.88/34.29 End of proof
% 203.88/34.29
% 203.88/34.29 Sub-proof #69 shows that the following formulas are inconsistent:
% 203.88/34.29 ----------------------------------------------------------------
% 203.88/34.29 (1) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.88/34.29 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.88/34.29 (2) ~ (e3 = e0)
% 203.88/34.29 (3) op(e2, e2) = all_6_2
% 203.88/34.29 (4) op(e1, e2) = all_52_6
% 203.88/34.29 (5) op(e2, e3) = all_52_1
% 203.88/34.29 (6) ~ (e3 = e2)
% 203.88/34.29 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.29 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.29 (8) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.88/34.29 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.88/34.29 (9) ~ (e3 = e1)
% 203.88/34.29 (10) ~ (all_52_6 = e0)
% 203.88/34.29 (11) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.88/34.29 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.88/34.29 (12) ~ (all_52_13 = e1)
% 203.88/34.29 (13) all_58_13 = e2
% 203.88/34.29 (14) op(e2, e0) = all_52_13
% 203.88/34.29 (15) ~ (all_52_1 = e1)
% 203.88/34.29 (16) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1)
% 203.88/34.29 (17) ~ (e1 = e0)
% 203.88/34.29 (18) ~ (all_52_9 = e1)
% 203.88/34.30 (19) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.88/34.30 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.88/34.30 (20) all_58_4 = e2
% 203.88/34.30 (21) ~ (e2 = e1)
% 203.88/34.30 (22) op(e2, e2) = e1
% 203.88/34.30 (23) ~ (e2 = e0)
% 203.88/34.30 (24) op(e2, e1) = all_52_9
% 203.88/34.30 (25) ~ (all_6_2 = e2)
% 203.88/34.30
% 203.88/34.30 Begin of proof
% 203.88/34.30 |
% 203.88/34.30 | BETA: splitting (16) gives:
% 203.88/34.30 |
% 203.88/34.30 | Case 1:
% 203.88/34.30 | |
% 203.88/34.30 | | (26) all_58_4 = e1 & op(e3, e1) = e1
% 203.88/34.30 | |
% 203.88/34.30 | | ALPHA: (26) implies:
% 203.88/34.30 | | (27) all_58_4 = e1
% 203.88/34.30 | |
% 203.88/34.30 | | COMBINE_EQS: (20), (27) imply:
% 203.88/34.30 | | (28) e2 = e1
% 203.88/34.30 | |
% 203.88/34.30 | | SIMP: (28) implies:
% 203.88/34.30 | | (29) e2 = e1
% 203.88/34.30 | |
% 203.88/34.30 | | COMBINE_EQS: (13), (29) imply:
% 203.88/34.30 | | (30) all_58_13 = e1
% 203.88/34.30 | |
% 203.88/34.30 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 203.88/34.30 | | (14), (15), (17), (18), (19), (21), (22), (23), (24), (25), (30)
% 203.88/34.30 | | are inconsistent by sub-proof #70.
% 203.88/34.30 | |
% 203.88/34.30 | Case 2:
% 203.88/34.30 | |
% 203.88/34.30 | | (31) all_58_5 = e1 & op(e2, e1) = e1
% 203.88/34.30 | |
% 203.88/34.30 | | ALPHA: (31) implies:
% 203.88/34.30 | | (32) op(e2, e1) = e1
% 203.88/34.30 | |
% 203.88/34.30 | | REF_CLOSE: (7), (18), (24), (32) are inconsistent by sub-proof #467.
% 203.88/34.30 | |
% 203.88/34.30 | End of split
% 203.88/34.30 |
% 203.88/34.30 End of proof
% 203.88/34.30
% 203.88/34.30 Sub-proof #70 shows that the following formulas are inconsistent:
% 203.88/34.30 ----------------------------------------------------------------
% 203.88/34.30 (1) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.88/34.30 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.88/34.30 (2) ~ (e3 = e0)
% 203.88/34.30 (3) op(e2, e2) = all_6_2
% 203.88/34.30 (4) op(e1, e2) = all_52_6
% 203.88/34.30 (5) op(e2, e3) = all_52_1
% 203.88/34.30 (6) ~ (e3 = e2)
% 203.88/34.30 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.30 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.30 (8) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.88/34.30 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.88/34.30 (9) ~ (e3 = e1)
% 203.88/34.30 (10) ~ (all_52_6 = e0)
% 203.88/34.30 (11) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.88/34.30 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.88/34.30 (12) ~ (all_52_13 = e1)
% 203.88/34.30 (13) all_58_13 = e1
% 203.88/34.30 (14) op(e2, e0) = all_52_13
% 203.88/34.30 (15) ~ (all_52_1 = e1)
% 203.88/34.30 (16) ~ (e1 = e0)
% 203.88/34.30 (17) ~ (all_52_9 = e1)
% 203.88/34.30 (18) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.88/34.30 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.88/34.30 (19) ~ (e2 = e1)
% 203.88/34.30 (20) op(e2, e2) = e1
% 203.88/34.30 (21) ~ (e2 = e0)
% 203.88/34.30 (22) op(e2, e1) = all_52_9
% 203.88/34.30 (23) ~ (all_6_2 = e2)
% 203.88/34.30
% 203.88/34.30 Begin of proof
% 203.88/34.30 |
% 203.88/34.30 | BETA: splitting (11) gives:
% 203.88/34.30 |
% 203.88/34.30 | Case 1:
% 203.88/34.30 | |
% 203.88/34.30 | | (24) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) =
% 203.88/34.30 | | e0)
% 203.88/34.30 | |
% 203.88/34.30 | | BETA: splitting (24) gives:
% 203.88/34.30 | |
% 203.88/34.30 | | Case 1:
% 203.88/34.30 | | |
% 203.88/34.30 | | | (25) all_58_1 = e0 & op(e3, e2) = e0
% 203.88/34.30 | | |
% 203.88/34.30 | | | ALPHA: (25) implies:
% 203.88/34.30 | | | (26) all_58_1 = e0
% 203.88/34.30 | | |
% 203.88/34.30 | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (13), (19), (20), (21),
% 203.88/34.30 | | | (23), (26) are inconsistent by sub-proof #139.
% 203.88/34.30 | | |
% 203.88/34.30 | | Case 2:
% 203.88/34.30 | | |
% 203.88/34.30 | | | (27) all_58_3 = e0 & op(e2, e2) = e0
% 203.88/34.30 | | |
% 203.88/34.30 | | | ALPHA: (27) implies:
% 203.88/34.30 | | | (28) all_58_3 = e0
% 203.88/34.30 | | |
% 203.88/34.30 | | | REF_CLOSE: (5), (7), (12), (14), (15), (16), (17), (18), (22), (28) are
% 203.88/34.30 | | | inconsistent by sub-proof #105.
% 203.88/34.30 | | |
% 203.88/34.30 | | End of split
% 203.88/34.30 | |
% 203.88/34.30 | Case 2:
% 203.88/34.30 | |
% 203.88/34.30 | | (29) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 203.88/34.30 | | e0)
% 203.88/34.30 | |
% 203.88/34.30 | | REF_CLOSE: (4), (7), (10), (13), (16), (29) are inconsistent by sub-proof
% 203.88/34.30 | | #213.
% 203.88/34.30 | |
% 203.88/34.30 | End of split
% 203.88/34.30 |
% 203.88/34.30 End of proof
% 203.88/34.30
% 203.88/34.30 Sub-proof #71 shows that the following formulas are inconsistent:
% 203.88/34.30 ----------------------------------------------------------------
% 203.88/34.30 (1) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.88/34.30 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.88/34.30 (2) ~ (all_10_2 = e3)
% 203.88/34.30 (3) ~ (e3 = e0)
% 203.88/34.30 (4) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.88/34.30 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.88/34.30 (5) op(e0, e0) = all_10_2
% 203.88/34.30 (6) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.88/34.30 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.88/34.30 (7) op(e2, e2) = all_6_2
% 203.88/34.30 (8) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.88/34.30 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.88/34.30 (9) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2 & op(e1, e2) = e2) |
% 203.88/34.30 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 = e2 & op(e1, e0) = e2)
% 203.88/34.30 (10) ~ (e3 = e2)
% 203.88/34.30 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.30 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.30 (12) ~ (all_52_8 = e0)
% 203.88/34.30 (13) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.88/34.30 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.88/34.30 (14) ~ (e3 = e1)
% 203.88/34.30 (15) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.88/34.30 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.88/34.30 (16) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.88/34.30 | (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 = e3 & op(e0, e0) =
% 203.88/34.30 e3)
% 203.88/34.30 (17) ~ (all_10_2 = e0)
% 203.88/34.30 (18) all_58_11 = e1
% 203.88/34.30 (19) op(e3, e1) = all_52_8
% 203.88/34.30 (20) all_58_13 = e2
% 203.88/34.30 (21) op(e3, e3) = e1
% 203.88/34.30 (22) ~ (e1 = e0)
% 203.88/34.30 (23) all_58_8 = e0
% 203.88/34.30 (24) (all_58_15 = e0 & op(e0, e0) = e0) | (((all_58_9 = e0 & op(e3, e0) = e0)
% 203.88/34.30 | (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1, e0)
% 203.88/34.30 = e0)) & ((all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 &
% 203.88/34.30 op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1) = e0)))
% 203.88/34.30 (25) op(e0, e0) = e2
% 203.88/34.30 (26) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.88/34.30 (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.88/34.30 (27) ~ (e2 = e1)
% 203.88/34.30 (28) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.88/34.30 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.88/34.30 (29) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.88/34.30 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.88/34.30 (30) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.88/34.30 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.88/34.30 (31) all_58_14 = e1
% 203.88/34.30 (32) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2) |
% 203.88/34.30 (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) = e2)
% 203.88/34.30 (33) ~ (e2 = e0)
% 203.88/34.30 (34) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 = e1 & op(e2, e0) = e1) |
% 203.88/34.30 (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 = e1 & op(e0, e0) = e1)
% 203.88/34.30 (35) op(e2, e1) = all_52_9
% 203.88/34.30 (36) all_58_9 = e2
% 203.88/34.30 (37) ~ (all_6_2 = e2)
% 203.88/34.30 (38) ~ (all_52_9 = e2)
% 203.88/34.30 (39) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2) |
% 203.88/34.30 (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)
% 203.88/34.30
% 203.88/34.30 Begin of proof
% 203.88/34.30 |
% 203.88/34.30 | BETA: splitting (15) gives:
% 203.88/34.30 |
% 203.88/34.30 | Case 1:
% 203.88/34.30 | |
% 203.88/34.30 | | (40) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) =
% 203.88/34.30 | | e0)
% 203.88/34.30 | |
% 203.88/34.30 | | BETA: splitting (40) gives:
% 203.88/34.30 | |
% 203.88/34.30 | | Case 1:
% 203.88/34.30 | | |
% 203.88/34.30 | | | (41) all_58_0 = e0 & op(e3, e3) = e0
% 203.88/34.30 | | |
% 203.88/34.30 | | | ALPHA: (41) implies:
% 203.88/34.30 | | | (42) op(e3, e3) = e0
% 203.88/34.30 | | |
% 203.88/34.30 | | | REF_CLOSE: (11), (21), (22), (42) are inconsistent by sub-proof #1922.
% 203.88/34.30 | | |
% 203.88/34.30 | | Case 2:
% 203.88/34.30 | | |
% 203.88/34.30 | | | (43) all_58_1 = e0 & op(e3, e2) = e0
% 203.88/34.30 | | |
% 203.88/34.30 | | | ALPHA: (43) implies:
% 203.88/34.30 | | | (44) all_58_1 = e0
% 203.88/34.30 | | |
% 203.88/34.30 | | | BETA: splitting (16) gives:
% 203.88/34.30 | | |
% 203.88/34.30 | | | Case 1:
% 203.88/34.30 | | | |
% 203.88/34.30 | | | | (45) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 = e3 & op(e0,
% 203.88/34.30 | | | | e2) = e3)
% 203.88/34.30 | | | |
% 203.88/34.30 | | | | BETA: splitting (45) gives:
% 203.88/34.30 | | | |
% 203.88/34.30 | | | | Case 1:
% 203.88/34.30 | | | | |
% 203.88/34.30 | | | | | (46) all_58_12 = e3 & op(e0, e3) = e3
% 203.88/34.30 | | | | |
% 203.88/34.30 | | | | | ALPHA: (46) implies:
% 203.88/34.30 | | | | | (47) all_58_12 = e3
% 203.88/34.30 | | | | |
% 203.88/34.30 | | | | | BETA: splitting (28) gives:
% 203.88/34.30 | | | | |
% 203.88/34.30 | | | | | Case 1:
% 203.88/34.30 | | | | | |
% 203.88/34.30 | | | | | | (48) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2,
% 203.88/34.30 | | | | | | e3) = e0)
% 203.88/34.30 | | | | | |
% 203.88/34.30 | | | | | | BETA: splitting (48) gives:
% 203.88/34.30 | | | | | |
% 203.88/34.30 | | | | | | Case 1:
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | | (49) all_58_0 = e0 & op(e3, e3) = e0
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | | ALPHA: (49) implies:
% 203.88/34.30 | | | | | | | (50) op(e3, e3) = e0
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | | REF_CLOSE: (3), (4), (8), (10), (11), (14), (22), (27), (33),
% 203.88/34.30 | | | | | | | (36), (39), (44), (50) are inconsistent by sub-proof
% 203.88/34.30 | | | | | | | #348.
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | Case 2:
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | | (51) all_58_2 = e0 & op(e2, e3) = e0
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | | ALPHA: (51) implies:
% 203.88/34.30 | | | | | | | (52) all_58_2 = e0
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | | BETA: splitting (32) gives:
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | | Case 1:
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | | (53) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 &
% 203.88/34.30 | | | | | | | | op(e2, e3) = e2)
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | | REF_CLOSE: (11), (21), (27), (33), (52), (53) are inconsistent
% 203.88/34.30 | | | | | | | | by sub-proof #667.
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | Case 2:
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | | (54) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 &
% 203.88/34.30 | | | | | | | | op(e0, e3) = e2)
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | | BETA: splitting (54) gives:
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | | Case 1:
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | (55) all_58_6 = e2 & op(e1, e3) = e2
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | ALPHA: (55) implies:
% 203.88/34.30 | | | | | | | | | (56) all_58_6 = e2
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | BETA: splitting (29) gives:
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | Case 1:
% 203.88/34.30 | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | (57) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 &
% 203.88/34.30 | | | | | | | | | | op(e1, e2) = e3)
% 203.88/34.30 | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | BETA: splitting (57) gives:
% 203.88/34.30 | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | Case 1:
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | (58) all_58_6 = e3 & op(e1, e3) = e3
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | ALPHA: (58) implies:
% 203.88/34.30 | | | | | | | | | | | (59) all_58_6 = e3
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | COMBINE_EQS: (56), (59) imply:
% 203.88/34.30 | | | | | | | | | | | (60) e3 = e2
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | SIMP: (60) implies:
% 203.88/34.30 | | | | | | | | | | | (61) e3 = e2
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | COMBINE_EQS: (47), (61) imply:
% 203.88/34.30 | | | | | | | | | | | (62) all_58_12 = e2
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | REF_CLOSE: (5), (11), (17), (20), (22), (24), (31), (33),
% 203.88/34.30 | | | | | | | | | | | (62) are inconsistent by sub-proof #285.
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | Case 2:
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | (63) all_58_7 = e3 & op(e1, e2) = e3
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | ALPHA: (63) implies:
% 203.88/34.30 | | | | | | | | | | | (64) all_58_7 = e3
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | BETA: splitting (13) gives:
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | Case 1:
% 203.88/34.30 | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | (65) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 203.88/34.30 | | | | | | | | | | | | & op(e2, e2) = e2)
% 203.88/34.30 | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | BETA: splitting (65) gives:
% 203.88/34.30 | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | Case 1:
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | (66) all_58_2 = e2 & op(e2, e3) = e2
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | ALPHA: (66) implies:
% 203.88/34.30 | | | | | | | | | | | | | (67) all_58_2 = e2
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | COMBINE_EQS: (52), (67) imply:
% 203.88/34.30 | | | | | | | | | | | | | (68) e2 = e0
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | SIMP: (68) implies:
% 203.88/34.30 | | | | | | | | | | | | | (69) e2 = e0
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | COMBINE_EQS: (56), (69) imply:
% 203.88/34.30 | | | | | | | | | | | | | (70) all_58_6 = e0
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (11),
% 203.88/34.30 | | | | | | | | | | | | | (14), (16), (17), (18), (20), (21), (22), (24),
% 203.88/34.30 | | | | | | | | | | | | | (27), (28), (29), (30), (31), (33), (37), (44),
% 203.88/34.30 | | | | | | | | | | | | | (47), (64), (67), (70) are inconsistent by
% 203.88/34.30 | | | | | | | | | | | | | sub-proof #73.
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | Case 2:
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | (71) all_58_3 = e2 & op(e2, e2) = e2
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | ALPHA: (71) implies:
% 203.88/34.30 | | | | | | | | | | | | | (72) all_58_3 = e2
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | REF_CLOSE: (14), (20), (22), (26), (27), (44), (64), (72) are
% 203.88/34.30 | | | | | | | | | | | | | inconsistent by sub-proof #620.
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | End of split
% 203.88/34.30 | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | Case 2:
% 203.88/34.30 | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | (73) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 203.88/34.30 | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 203.88/34.30 | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | BETA: splitting (73) gives:
% 203.88/34.30 | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | Case 1:
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | (74) all_58_5 = e2 & op(e2, e1) = e2
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | ALPHA: (74) implies:
% 203.88/34.30 | | | | | | | | | | | | | (75) op(e2, e1) = e2
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | REF_CLOSE: (11), (35), (38), (75) are inconsistent by
% 203.88/34.30 | | | | | | | | | | | | | sub-proof #254.
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | Case 2:
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | (76) all_58_10 = e2 & op(e2, e0) = e2
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | ALPHA: (76) implies:
% 203.88/34.30 | | | | | | | | | | | | | (77) all_58_10 = e2
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | | REF_CLOSE: (5), (11), (17), (18), (22), (24), (33), (36),
% 203.88/34.30 | | | | | | | | | | | | | (77) are inconsistent by sub-proof #383.
% 203.88/34.30 | | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | | End of split
% 203.88/34.30 | | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | End of split
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | End of split
% 203.88/34.30 | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | Case 2:
% 203.88/34.30 | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | (78) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3
% 203.88/34.30 | | | | | | | | | | & op(e1, e0) = e3)
% 203.88/34.30 | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | REF_CLOSE: (2), (3), (5), (10), (11), (14), (16), (17), (20),
% 203.88/34.30 | | | | | | | | | | (22), (23), (24), (25), (27), (31), (33), (34),
% 203.88/34.30 | | | | | | | | | | (36), (47), (78) are inconsistent by sub-proof
% 203.88/34.30 | | | | | | | | | | #72.
% 203.88/34.30 | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | End of split
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | Case 2:
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | (79) all_58_12 = e2 & op(e0, e3) = e2
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | ALPHA: (79) implies:
% 203.88/34.30 | | | | | | | | | (80) all_58_12 = e2
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | REF_CLOSE: (5), (11), (17), (20), (22), (24), (31), (33), (80)
% 203.88/34.30 | | | | | | | | | are inconsistent by sub-proof #285.
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | End of split
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | End of split
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | End of split
% 203.88/34.30 | | | | | |
% 203.88/34.30 | | | | | Case 2:
% 203.88/34.30 | | | | | |
% 203.88/34.30 | | | | | | (81) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0,
% 203.88/34.30 | | | | | | e3) = e0)
% 203.88/34.30 | | | | | |
% 203.88/34.30 | | | | | | BETA: splitting (81) gives:
% 203.88/34.30 | | | | | |
% 203.88/34.30 | | | | | | Case 1:
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | | (82) all_58_6 = e0 & op(e1, e3) = e0
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | | ALPHA: (82) implies:
% 203.88/34.30 | | | | | | | (83) all_58_6 = e0
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | | BETA: splitting (32) gives:
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | | Case 1:
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | | (84) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 &
% 203.88/34.30 | | | | | | | | op(e2, e3) = e2)
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | | BETA: splitting (84) gives:
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | | Case 1:
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | (85) all_58_0 = e2 & op(e3, e3) = e2
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | ALPHA: (85) implies:
% 203.88/34.30 | | | | | | | | | (86) op(e3, e3) = e2
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | REF_CLOSE: (11), (21), (27), (86) are inconsistent by
% 203.88/34.30 | | | | | | | | | sub-proof #1609.
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | Case 2:
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | (87) all_58_2 = e2 & op(e2, e3) = e2
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | ALPHA: (87) implies:
% 203.88/34.30 | | | | | | | | | (88) all_58_2 = e2
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | BETA: splitting (29) gives:
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | Case 1:
% 203.88/34.30 | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | (89) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 &
% 203.88/34.30 | | | | | | | | | | op(e1, e2) = e3)
% 203.88/34.30 | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | BETA: splitting (89) gives:
% 203.88/34.30 | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | Case 1:
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | (90) all_58_6 = e3 & op(e1, e3) = e3
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | ALPHA: (90) implies:
% 203.88/34.30 | | | | | | | | | | | (91) all_58_6 = e3
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | REF_CLOSE: (3), (11), (21), (22), (28), (33), (47), (88),
% 203.88/34.30 | | | | | | | | | | | (91) are inconsistent by sub-proof #1531.
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | Case 2:
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | (92) all_58_7 = e3 & op(e1, e2) = e3
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | ALPHA: (92) implies:
% 203.88/34.30 | | | | | | | | | | | (93) all_58_7 = e3
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (11),
% 203.88/34.30 | | | | | | | | | | | (14), (16), (17), (18), (20), (21), (22), (24),
% 203.88/34.30 | | | | | | | | | | | (27), (28), (29), (30), (31), (33), (37), (44),
% 203.88/34.30 | | | | | | | | | | | (47), (83), (88), (93) are inconsistent by
% 203.88/34.30 | | | | | | | | | | | sub-proof #73.
% 203.88/34.30 | | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | End of split
% 203.88/34.30 | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | Case 2:
% 203.88/34.30 | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | (94) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3
% 203.88/34.30 | | | | | | | | | | & op(e1, e0) = e3)
% 203.88/34.30 | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | | REF_CLOSE: (2), (3), (5), (10), (11), (14), (16), (17), (20),
% 203.88/34.30 | | | | | | | | | | (22), (23), (24), (25), (27), (31), (33), (34),
% 203.88/34.30 | | | | | | | | | | (36), (47), (94) are inconsistent by sub-proof
% 203.88/34.30 | | | | | | | | | | #72.
% 203.88/34.30 | | | | | | | | | |
% 203.88/34.30 | | | | | | | | | End of split
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | End of split
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | Case 2:
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | | (95) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 &
% 203.88/34.30 | | | | | | | | op(e0, e3) = e2)
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | | BETA: splitting (95) gives:
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | | Case 1:
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | (96) all_58_6 = e2 & op(e1, e3) = e2
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | ALPHA: (96) implies:
% 203.88/34.30 | | | | | | | | | (97) all_58_6 = e2
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | REF_CLOSE: (33), (83), (97) are inconsistent by sub-proof
% 203.88/34.30 | | | | | | | | | #1642.
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | Case 2:
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | (98) all_58_12 = e2 & op(e0, e3) = e2
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | ALPHA: (98) implies:
% 203.88/34.30 | | | | | | | | | (99) all_58_12 = e2
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | | REF_CLOSE: (5), (11), (17), (20), (22), (24), (31), (33), (99)
% 203.88/34.30 | | | | | | | | | are inconsistent by sub-proof #285.
% 203.88/34.30 | | | | | | | | |
% 203.88/34.30 | | | | | | | | End of split
% 203.88/34.30 | | | | | | | |
% 203.88/34.30 | | | | | | | End of split
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | Case 2:
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | | (100) all_58_12 = e0 & op(e0, e3) = e0
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | | ALPHA: (100) implies:
% 203.88/34.30 | | | | | | | (101) all_58_12 = e0
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | | REF_CLOSE: (2), (3), (5), (10), (11), (14), (16), (20), (31),
% 203.88/34.30 | | | | | | | (101) are inconsistent by sub-proof #257.
% 203.88/34.30 | | | | | | |
% 203.88/34.30 | | | | | | End of split
% 203.88/34.30 | | | | | |
% 203.88/34.30 | | | | | End of split
% 203.88/34.30 | | | | |
% 203.88/34.30 | | | | Case 2:
% 203.88/34.30 | | | | |
% 203.88/34.30 | | | | | (102) all_58_13 = e3 & op(e0, e2) = e3
% 203.88/34.30 | | | | |
% 203.88/34.30 | | | | | REF_CLOSE: (10), (20), (102) are inconsistent by sub-proof #1838.
% 203.88/34.30 | | | | |
% 203.88/34.30 | | | | End of split
% 203.88/34.30 | | | |
% 203.88/34.30 | | | Case 2:
% 203.88/34.30 | | | |
% 203.88/34.30 | | | | (103) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 = e3 & op(e0,
% 203.88/34.30 | | | | e0) = e3)
% 203.88/34.30 | | | |
% 203.88/34.30 | | | | REF_CLOSE: (2), (5), (11), (14), (31), (103) are inconsistent by
% 203.88/34.30 | | | | sub-proof #298.
% 203.88/34.30 | | | |
% 203.88/34.30 | | | End of split
% 203.88/34.30 | | |
% 203.88/34.30 | | End of split
% 203.88/34.30 | |
% 203.88/34.30 | Case 2:
% 203.88/34.30 | |
% 203.88/34.30 | | (104) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) =
% 203.88/34.30 | | e0)
% 203.88/34.30 | |
% 203.88/34.30 | | BETA: splitting (104) gives:
% 203.88/34.30 | |
% 203.88/34.30 | | Case 1:
% 203.88/34.30 | | |
% 203.88/34.30 | | | (105) all_58_4 = e0 & op(e3, e1) = e0
% 203.88/34.30 | | |
% 203.88/34.30 | | | REF_CLOSE: (11), (12), (19), (105) are inconsistent by sub-proof #700.
% 203.88/34.30 | | |
% 203.88/34.30 | | Case 2:
% 203.88/34.30 | | |
% 203.88/34.30 | | | (106) all_58_9 = e0 & op(e3, e0) = e0
% 203.88/34.30 | | |
% 203.88/34.30 | | | REF_CLOSE: (33), (36), (106) are inconsistent by sub-proof #1257.
% 203.88/34.30 | | |
% 203.88/34.30 | | End of split
% 203.88/34.30 | |
% 203.88/34.30 | End of split
% 203.88/34.30 |
% 203.88/34.30 End of proof
% 203.88/34.30
% 203.88/34.30 Sub-proof #72 shows that the following formulas are inconsistent:
% 203.88/34.30 ----------------------------------------------------------------
% 203.88/34.30 (1) ~ (all_10_2 = e3)
% 203.88/34.30 (2) ~ (e3 = e0)
% 203.88/34.30 (3) op(e0, e0) = all_10_2
% 203.88/34.30 (4) ~ (e3 = e2)
% 203.88/34.30 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.30 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.30 (6) ~ (e3 = e1)
% 203.88/34.30 (7) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 = e3 & op(e0, e2) = e3) |
% 203.88/34.30 (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 = e3 & op(e0, e0) = e3)
% 203.88/34.30 (8) ~ (all_10_2 = e0)
% 203.88/34.30 (9) all_58_12 = e3
% 203.88/34.30 (10) all_58_13 = e2
% 203.88/34.30 (11) ~ (e1 = e0)
% 203.88/34.30 (12) all_58_8 = e0
% 203.88/34.30 (13) (all_58_15 = e0 & op(e0, e0) = e0) | (((all_58_9 = e0 & op(e3, e0) = e0)
% 203.88/34.30 | (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1, e0)
% 203.88/34.30 = e0)) & ((all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 &
% 203.88/34.30 op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1) = e0)))
% 203.88/34.30 (14) op(e0, e0) = e2
% 203.88/34.30 (15) ~ (e2 = e1)
% 203.88/34.30 (16) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.88/34.30 (17) all_58_14 = e1
% 203.88/34.30 (18) ~ (e2 = e0)
% 203.88/34.30 (19) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 = e1 & op(e2, e0) = e1) |
% 203.88/34.30 (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 = e1 & op(e0, e0) = e1)
% 203.88/34.30 (20) all_58_9 = e2
% 203.88/34.30
% 203.88/34.30 Begin of proof
% 203.88/34.30 |
% 203.88/34.30 | BETA: splitting (16) gives:
% 203.88/34.30 |
% 203.88/34.30 | Case 1:
% 203.88/34.30 | |
% 203.88/34.30 | | (21) all_58_8 = e3 & op(e1, e1) = e3
% 203.88/34.30 | |
% 203.88/34.30 | | ALPHA: (21) implies:
% 203.88/34.30 | | (22) all_58_8 = e3
% 203.88/34.30 | |
% 203.88/34.30 | | COMBINE_EQS: (12), (22) imply:
% 203.88/34.30 | | (23) e3 = e0
% 203.88/34.30 | |
% 203.88/34.30 | | SIMP: (23) implies:
% 203.88/34.30 | | (24) e3 = e0
% 203.88/34.30 | |
% 203.88/34.30 | | COMBINE_EQS: (9), (24) imply:
% 203.88/34.30 | | (25) all_58_12 = e0
% 203.88/34.30 | |
% 203.88/34.30 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (17), (25) are
% 203.88/34.30 | | inconsistent by sub-proof #257.
% 203.88/34.30 | |
% 203.88/34.30 | Case 2:
% 203.88/34.30 | |
% 203.88/34.30 | | (26) all_58_11 = e3 & op(e1, e0) = e3
% 203.88/34.30 | |
% 203.88/34.30 | | REF_CLOSE: (2), (3), (5), (6), (8), (11), (13), (14), (15), (18), (19),
% 203.88/34.30 | | (20), (26) are inconsistent by sub-proof #626.
% 203.88/34.30 | |
% 203.88/34.30 | End of split
% 203.88/34.30 |
% 203.88/34.30 End of proof
% 203.88/34.30
% 203.88/34.30 Sub-proof #73 shows that the following formulas are inconsistent:
% 203.88/34.30 ----------------------------------------------------------------
% 203.88/34.30 (1) all_58_7 = e3
% 203.88/34.30 (2) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.88/34.30 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.88/34.30 (3) ~ (all_10_2 = e3)
% 203.88/34.30 (4) ~ (e3 = e0)
% 203.88/34.30 (5) op(e0, e0) = all_10_2
% 203.88/34.30 (6) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.88/34.30 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.88/34.30 (7) all_58_1 = e0
% 203.88/34.30 (8) op(e2, e2) = all_6_2
% 203.88/34.31 (9) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2 & op(e1, e2) = e2) |
% 203.88/34.31 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 = e2 & op(e1, e0) = e2)
% 203.88/34.31 (10) ~ (e3 = e2)
% 203.88/34.31 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.31 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.31 (12) ~ (e3 = e1)
% 203.88/34.31 (13) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.88/34.31 | (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 = e3 & op(e0, e0) =
% 203.88/34.31 e3)
% 203.88/34.31 (14) ~ (all_10_2 = e0)
% 203.88/34.31 (15) all_58_12 = e3
% 203.88/34.31 (16) all_58_11 = e1
% 203.88/34.31 (17) all_58_2 = e2
% 203.88/34.31 (18) all_58_13 = e2
% 203.88/34.31 (19) op(e3, e3) = e1
% 203.88/34.31 (20) ~ (e1 = e0)
% 203.88/34.31 (21) all_58_6 = e0
% 203.88/34.31 (22) (all_58_15 = e0 & op(e0, e0) = e0) | (((all_58_9 = e0 & op(e3, e0) = e0)
% 203.88/34.31 | (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1, e0)
% 203.88/34.31 = e0)) & ((all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 &
% 203.88/34.31 op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1) = e0)))
% 203.88/34.31 (23) ~ (e2 = e1)
% 203.88/34.31 (24) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.88/34.31 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.88/34.31 (25) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.88/34.31 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.88/34.31 (26) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.88/34.31 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.88/34.31 (27) all_58_14 = e1
% 203.88/34.31 (28) ~ (e2 = e0)
% 203.88/34.31 (29) ~ (all_6_2 = e2)
% 203.88/34.31
% 203.88/34.31 Begin of proof
% 203.88/34.31 |
% 203.88/34.31 | BETA: splitting (9) gives:
% 203.88/34.31 |
% 203.88/34.31 | Case 1:
% 203.88/34.31 | |
% 203.88/34.31 | | (30) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2 & op(e1, e2) =
% 203.88/34.31 | | e2)
% 203.88/34.31 | |
% 203.88/34.31 | | BETA: splitting (30) gives:
% 203.88/34.31 | |
% 203.88/34.31 | | Case 1:
% 203.88/34.31 | | |
% 203.88/34.31 | | | (31) all_58_6 = e2 & op(e1, e3) = e2
% 203.88/34.31 | | |
% 203.88/34.31 | | | ALPHA: (31) implies:
% 203.88/34.31 | | | (32) all_58_6 = e2
% 203.88/34.31 | | |
% 203.88/34.31 | | | REF_CLOSE: (21), (28), (32) are inconsistent by sub-proof #1642.
% 203.88/34.31 | | |
% 203.88/34.31 | | Case 2:
% 203.88/34.31 | | |
% 203.88/34.31 | | | (33) all_58_7 = e2 & op(e1, e2) = e2
% 203.88/34.31 | | |
% 203.88/34.31 | | | ALPHA: (33) implies:
% 203.88/34.31 | | | (34) all_58_7 = e2
% 203.88/34.31 | | |
% 203.88/34.31 | | | COMBINE_EQS: (1), (34) imply:
% 203.88/34.31 | | | (35) e3 = e2
% 203.88/34.31 | | |
% 203.88/34.31 | | | COMBINE_EQS: (15), (35) imply:
% 203.88/34.31 | | | (36) all_58_12 = e2
% 203.88/34.31 | | |
% 203.88/34.31 | | | REF_CLOSE: (4), (6), (10), (11), (12), (17), (19), (20), (24), (28), (36)
% 203.88/34.31 | | | are inconsistent by sub-proof #889.
% 203.88/34.31 | | |
% 203.88/34.31 | | End of split
% 203.88/34.31 | |
% 203.88/34.31 | Case 2:
% 203.88/34.31 | |
% 203.88/34.31 | | (37) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 = e2 & op(e1, e0) =
% 203.88/34.31 | | e2)
% 203.88/34.31 | |
% 203.88/34.31 | | BETA: splitting (37) gives:
% 203.88/34.31 | |
% 203.88/34.31 | | Case 1:
% 203.88/34.31 | | |
% 203.88/34.31 | | | (38) all_58_8 = e2 & op(e1, e1) = e2
% 203.88/34.31 | | |
% 203.88/34.31 | | | ALPHA: (38) implies:
% 203.88/34.31 | | | (39) all_58_8 = e2
% 203.88/34.31 | | |
% 203.88/34.31 | | | REF_CLOSE: (3), (4), (5), (9), (10), (11), (12), (13), (14), (16), (17),
% 203.88/34.31 | | | (18), (19), (20), (22), (23), (24), (25), (26), (27), (28),
% 203.88/34.31 | | | (39) are inconsistent by sub-proof #296.
% 203.88/34.31 | | |
% 203.88/34.31 | | Case 2:
% 203.88/34.31 | | |
% 203.88/34.31 | | | (40) all_58_11 = e2 & op(e1, e0) = e2
% 203.88/34.31 | | |
% 203.88/34.31 | | | ALPHA: (40) implies:
% 203.88/34.31 | | | (41) all_58_11 = e2
% 203.88/34.31 | | |
% 203.88/34.31 | | | COMBINE_EQS: (16), (41) imply:
% 203.88/34.31 | | | (42) e2 = e1
% 203.88/34.31 | | |
% 203.88/34.31 | | | SIMP: (42) implies:
% 203.88/34.31 | | | (43) e2 = e1
% 203.88/34.31 | | |
% 203.88/34.31 | | | COMBINE_EQS: (18), (43) imply:
% 203.88/34.31 | | | (44) all_58_13 = e1
% 203.88/34.31 | | |
% 203.88/34.31 | | | REF_CLOSE: (1), (2), (7), (8), (10), (11), (23), (28), (29), (44) are
% 203.88/34.31 | | | inconsistent by sub-proof #214.
% 203.88/34.31 | | |
% 203.88/34.31 | | End of split
% 203.88/34.31 | |
% 203.88/34.31 | End of split
% 203.88/34.31 |
% 203.88/34.31 End of proof
% 203.88/34.31
% 203.88/34.31 Sub-proof #74 shows that the following formulas are inconsistent:
% 203.88/34.31 ----------------------------------------------------------------
% 203.88/34.31 (1) ~ (e3 = e0)
% 203.88/34.31 (2) op(e0, e0) = all_10_2
% 203.88/34.31 (3) all_58_1 = e0
% 203.88/34.31 (4) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.88/34.31 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.88/34.31 (5) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.88/34.31 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.88/34.31 (6) ~ (e3 = e2)
% 203.88/34.31 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.31 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.31 (8) ~ (e3 = e1)
% 203.88/34.31 (9) ~ (all_10_2 = e0)
% 203.88/34.31 (10) op(e3, e3) = e1
% 203.88/34.31 (11) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.88/34.31 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.88/34.31 (12) all_58_7 = e2
% 203.88/34.31 (13) ~ (e1 = e0)
% 203.88/34.31 (14) all_58_8 = e0
% 203.88/34.31 (15) (all_58_15 = e0 & op(e0, e0) = e0) | (((all_58_9 = e0 & op(e3, e0) = e0)
% 203.88/34.31 | (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1, e0)
% 203.88/34.31 = e0)) & ((all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 &
% 203.88/34.31 op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1) = e0)))
% 203.88/34.31 (16) op(e0, e0) = e2
% 203.88/34.31 (17) ~ (e2 = e1)
% 203.88/34.31 (18) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.88/34.31 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.88/34.31 (19) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.88/34.31 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.88/34.31 (20) all_58_14 = e1
% 203.88/34.31 (21) ~ (e2 = e0)
% 203.88/34.31 (22) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 = e1 & op(e2, e0) = e1) |
% 203.88/34.31 (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 = e1 & op(e0, e0) = e1)
% 203.88/34.31 (23) op(e2, e1) = all_52_9
% 203.88/34.31 (24) all_58_9 = e2
% 203.88/34.31 (25) ~ (all_52_9 = e2)
% 203.88/34.31
% 203.88/34.31 Begin of proof
% 203.88/34.31 |
% 203.88/34.31 | BETA: splitting (18) gives:
% 203.88/34.31 |
% 203.88/34.31 | Case 1:
% 203.88/34.31 | |
% 203.88/34.31 | | (26) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) =
% 203.88/34.31 | | e3)
% 203.88/34.31 | |
% 203.88/34.31 | | BETA: splitting (26) gives:
% 203.88/34.31 | |
% 203.88/34.31 | | Case 1:
% 203.88/34.31 | | |
% 203.88/34.31 | | | (27) all_58_6 = e3 & op(e1, e3) = e3
% 203.88/34.31 | | |
% 203.88/34.31 | | | ALPHA: (27) implies:
% 203.88/34.31 | | | (28) all_58_6 = e3
% 203.88/34.31 | | |
% 203.88/34.31 | | | BETA: splitting (4) gives:
% 203.88/34.31 | | |
% 203.88/34.31 | | | Case 1:
% 203.88/34.31 | | | |
% 203.88/34.31 | | | | (29) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2)
% 203.88/34.31 | | | | = e3)
% 203.88/34.31 | | | |
% 203.88/34.31 | | | | BETA: splitting (29) gives:
% 203.88/34.31 | | | |
% 203.88/34.31 | | | | Case 1:
% 203.88/34.31 | | | | |
% 203.88/34.31 | | | | | (30) all_58_0 = e3 & op(e3, e3) = e3
% 203.88/34.31 | | | | |
% 203.88/34.31 | | | | | REF_CLOSE: (7), (8), (10), (30) are inconsistent by sub-proof #1610.
% 203.88/34.31 | | | | |
% 203.88/34.31 | | | | Case 2:
% 203.88/34.31 | | | | |
% 203.88/34.31 | | | | | (31) all_58_1 = e3 & op(e3, e2) = e3
% 203.88/34.31 | | | | |
% 203.88/34.31 | | | | | REF_CLOSE: (1), (3), (31) are inconsistent by sub-proof #1812.
% 203.88/34.31 | | | | |
% 203.88/34.31 | | | | End of split
% 203.88/34.31 | | | |
% 203.88/34.31 | | | Case 2:
% 203.88/34.31 | | | |
% 203.88/34.31 | | | | (32) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0)
% 203.88/34.31 | | | | = e3)
% 203.88/34.31 | | | |
% 203.88/34.31 | | | | BETA: splitting (32) gives:
% 203.88/34.31 | | | |
% 203.88/34.31 | | | | Case 1:
% 203.88/34.31 | | | | |
% 203.88/34.31 | | | | | (33) all_58_4 = e3 & op(e3, e1) = e3
% 203.88/34.31 | | | | |
% 203.88/34.31 | | | | | REF_CLOSE: (1), (5), (6), (7), (8), (11), (12), (13), (17), (19),
% 203.88/34.31 | | | | | (20), (21), (23), (25), (28), (33) are inconsistent by
% 203.88/34.31 | | | | | sub-proof #77.
% 203.88/34.31 | | | | |
% 203.88/34.31 | | | | Case 2:
% 203.88/34.31 | | | | |
% 203.88/34.31 | | | | | (34) all_58_9 = e3 & op(e3, e0) = e3
% 203.88/34.31 | | | | |
% 203.88/34.31 | | | | | REF_CLOSE: (6), (24), (34) are inconsistent by sub-proof #979.
% 203.88/34.31 | | | | |
% 203.88/34.31 | | | | End of split
% 203.88/34.31 | | | |
% 203.88/34.31 | | | End of split
% 203.88/34.31 | | |
% 203.88/34.31 | | Case 2:
% 203.88/34.31 | | |
% 203.88/34.31 | | | (35) all_58_7 = e3 & op(e1, e2) = e3
% 203.88/34.31 | | |
% 203.88/34.31 | | | ALPHA: (35) implies:
% 203.88/34.31 | | | (36) all_58_7 = e3
% 203.88/34.31 | | |
% 203.88/34.31 | | | REF_CLOSE: (6), (12), (36) are inconsistent by sub-proof #1627.
% 203.88/34.31 | | |
% 203.88/34.31 | | End of split
% 203.88/34.31 | |
% 203.88/34.31 | Case 2:
% 203.88/34.31 | |
% 203.88/34.31 | | (37) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) =
% 203.88/34.31 | | e3)
% 203.88/34.31 | |
% 203.88/34.31 | | BETA: splitting (37) gives:
% 203.88/34.31 | |
% 203.88/34.31 | | Case 1:
% 203.88/34.31 | | |
% 203.88/34.31 | | | (38) all_58_8 = e3 & op(e1, e1) = e3
% 203.88/34.31 | | |
% 203.88/34.31 | | | ALPHA: (38) implies:
% 203.88/34.31 | | | (39) all_58_8 = e3
% 203.88/34.31 | | |
% 203.88/34.31 | | | REF_CLOSE: (1), (14), (39) are inconsistent by sub-proof #1630.
% 203.88/34.31 | | |
% 203.88/34.31 | | Case 2:
% 203.88/34.31 | | |
% 203.88/34.31 | | | (40) all_58_11 = e3 & op(e1, e0) = e3
% 203.88/34.31 | | |
% 203.88/34.31 | | | REF_CLOSE: (1), (2), (7), (8), (9), (13), (15), (16), (17), (21), (22),
% 203.88/34.31 | | | (24), (40) are inconsistent by sub-proof #626.
% 203.88/34.31 | | |
% 203.88/34.31 | | End of split
% 203.88/34.31 | |
% 203.88/34.31 | End of split
% 203.88/34.31 |
% 203.88/34.31 End of proof
% 203.88/34.31
% 203.88/34.31 Sub-proof #75 shows that the following formulas are inconsistent:
% 203.88/34.31 ----------------------------------------------------------------
% 203.88/34.31 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.31 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.31 (2) op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11 &
% 203.88/34.31 $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.88/34.31 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~ (all_56_15
% 203.88/34.31 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0 = e1) &
% 203.88/34.31 op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0 | ( ~
% 203.88/34.31 (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) & (all_56_4
% 203.88/34.31 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 & $i(all_56_3))) &
% 203.88/34.31 (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0) = all_56_5 &
% 203.88/34.31 $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 = e1) & op(e0, e3) =
% 203.88/34.31 all_56_9 & $i(all_56_9))) & (all_56_11 = e2 | ( ~ (all_56_10 = e1) &
% 203.88/34.31 op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_14 = e3 | ( ~
% 203.88/34.31 (all_56_6 = e1) & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_14
% 203.88/34.31 = e2 | ( ~ (all_56_7 = e1) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.88/34.31 (all_56_14 = e0 | ( ~ (all_56_8 = e1) & op(e1, e0) = all_56_8 &
% 203.88/34.31 $i(all_56_8)))
% 203.88/34.31 (3) op(e2, e1) = all_52_9
% 203.88/34.31 (4) ~ (all_52_9 = e2)
% 203.88/34.31 (5) all_56_13 = e1
% 203.88/34.31
% 203.88/34.31 Begin of proof
% 203.88/34.31 |
% 203.88/34.31 | ALPHA: (2) implies:
% 203.88/34.31 | (6) op(e2, e1) = all_56_4
% 203.88/34.31 | (7) ~ (all_56_13 = e1) | all_56_4 = e2
% 203.88/34.31 |
% 203.88/34.31 | BETA: splitting (7) gives:
% 203.88/34.31 |
% 203.88/34.31 | Case 1:
% 203.88/34.31 | |
% 203.88/34.31 | | (8) ~ (all_56_13 = e1)
% 203.88/34.31 | |
% 203.88/34.31 | | REDUCE: (5), (8) imply:
% 203.88/34.31 | | (9) $false
% 203.88/34.31 | |
% 203.88/34.31 | | CLOSE: (9) is inconsistent.
% 203.88/34.31 | |
% 203.88/34.31 | Case 2:
% 203.88/34.31 | |
% 203.88/34.31 | | (10) all_56_4 = e2
% 203.88/34.31 | |
% 203.88/34.31 | | REDUCE: (6), (10) imply:
% 203.88/34.31 | | (11) op(e2, e1) = e2
% 203.88/34.31 | |
% 203.88/34.31 | | REF_CLOSE: (1), (3), (4), (11) are inconsistent by sub-proof #254.
% 203.88/34.31 | |
% 203.88/34.31 | End of split
% 203.88/34.31 |
% 203.88/34.31 End of proof
% 203.88/34.31
% 203.88/34.31 Sub-proof #76 shows that the following formulas are inconsistent:
% 203.88/34.31 ----------------------------------------------------------------
% 203.88/34.31 (1) op(e2, e3) = all_52_1
% 203.88/34.31 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.31 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.31 (3) ~ (all_52_13 = e1)
% 203.88/34.31 (4) all_58_2 = e2
% 203.88/34.31 (5) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0)
% 203.88/34.31 (6) op(e2, e0) = all_52_13
% 203.88/34.31 (7) ~ (all_52_1 = e1)
% 203.88/34.31 (8) ~ (e1 = e0)
% 203.88/34.31 (9) ~ (all_52_9 = e1)
% 203.88/34.31 (10) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.88/34.31 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.88/34.31 (11) ~ (e2 = e0)
% 203.88/34.31 (12) op(e2, e1) = all_52_9
% 203.88/34.31
% 203.88/34.31 Begin of proof
% 203.88/34.31 |
% 203.88/34.31 | BETA: splitting (5) gives:
% 203.88/34.31 |
% 203.88/34.31 | Case 1:
% 203.88/34.31 | |
% 203.88/34.31 | | (13) all_58_2 = e0 & op(e2, e3) = e0
% 203.88/34.31 | |
% 203.88/34.31 | | REF_CLOSE: (4), (11), (13) are inconsistent by sub-proof #1535.
% 203.88/34.31 | |
% 203.88/34.31 | Case 2:
% 203.88/34.31 | |
% 203.88/34.31 | | (14) all_58_3 = e0 & op(e2, e2) = e0
% 203.88/34.31 | |
% 203.88/34.31 | | ALPHA: (14) implies:
% 203.88/34.31 | | (15) all_58_3 = e0
% 203.88/34.31 | |
% 203.88/34.31 | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (12), (15) are
% 203.88/34.31 | | inconsistent by sub-proof #105.
% 203.88/34.31 | |
% 203.88/34.31 | End of split
% 203.88/34.31 |
% 203.88/34.31 End of proof
% 203.88/34.31
% 203.88/34.31 Sub-proof #77 shows that the following formulas are inconsistent:
% 203.88/34.31 ----------------------------------------------------------------
% 203.88/34.31 (1) ~ (e3 = e0)
% 203.88/34.31 (2) all_58_6 = e3
% 203.88/34.31 (3) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.88/34.31 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.88/34.31 (4) ~ (e3 = e2)
% 203.88/34.31 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.31 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.31 (6) all_58_4 = e3 & op(e3, e1) = e3
% 203.88/34.31 (7) ~ (e3 = e1)
% 203.88/34.31 (8) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.88/34.31 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.88/34.31 (9) all_58_7 = e2
% 203.88/34.31 (10) ~ (e1 = e0)
% 203.88/34.31 (11) ~ (e2 = e1)
% 203.88/34.31 (12) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.88/34.31 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.88/34.31 (13) all_58_14 = e1
% 203.88/34.31 (14) ~ (e2 = e0)
% 203.88/34.31 (15) op(e2, e1) = all_52_9
% 203.88/34.31 (16) ~ (all_52_9 = e2)
% 203.88/34.31
% 203.88/34.31 Begin of proof
% 203.88/34.31 |
% 203.88/34.31 | ALPHA: (6) implies:
% 203.88/34.31 | (17) all_58_4 = e3
% 203.88/34.31 |
% 203.88/34.31 | BETA: splitting (8) gives:
% 203.88/34.31 |
% 203.88/34.31 | Case 1:
% 203.88/34.31 | |
% 203.88/34.31 | | (18) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) =
% 203.88/34.31 | | e2)
% 203.88/34.31 | |
% 203.88/34.31 | | REF_CLOSE: (4), (5), (15), (16), (17), (18) are inconsistent by sub-proof
% 203.88/34.31 | | #119.
% 203.88/34.31 | |
% 203.88/34.31 | Case 2:
% 203.88/34.31 | |
% 203.88/34.31 | | (19) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) =
% 203.88/34.31 | | e2)
% 203.88/34.31 | |
% 203.88/34.31 | | BETA: splitting (19) gives:
% 203.88/34.31 | |
% 203.88/34.31 | | Case 1:
% 203.88/34.31 | | |
% 203.88/34.31 | | | (20) all_58_8 = e2 & op(e1, e1) = e2
% 203.88/34.31 | | |
% 203.88/34.31 | | | ALPHA: (20) implies:
% 203.88/34.31 | | | (21) all_58_8 = e2
% 203.88/34.31 | | |
% 203.88/34.31 | | | REF_CLOSE: (1), (2), (3), (7), (9), (10), (11), (12), (14), (21) are
% 203.88/34.31 | | | inconsistent by sub-proof #763.
% 203.88/34.31 | | |
% 203.88/34.31 | | Case 2:
% 203.88/34.31 | | |
% 203.88/34.31 | | | (22) all_58_14 = e2 & op(e0, e1) = e2
% 203.88/34.31 | | |
% 203.88/34.31 | | | ALPHA: (22) implies:
% 203.88/34.31 | | | (23) all_58_14 = e2
% 203.88/34.31 | | |
% 203.88/34.31 | | | REF_CLOSE: (11), (13), (23) are inconsistent by sub-proof #1371.
% 203.88/34.31 | | |
% 203.88/34.31 | | End of split
% 203.88/34.31 | |
% 203.88/34.31 | End of split
% 203.88/34.31 |
% 203.88/34.31 End of proof
% 203.88/34.31
% 203.88/34.31 Sub-proof #78 shows that the following formulas are inconsistent:
% 203.88/34.31 ----------------------------------------------------------------
% 203.88/34.31 (1) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.88/34.31 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.88/34.31 (2) ~ (e3 = e0)
% 203.88/34.31 (3) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.88/34.31 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.88/34.31 (4) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.88/34.31 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.88/34.31 (5) op(e2, e0) = all_30_1
% 203.88/34.31 (6) op(e2, e2) = all_6_2
% 203.88/34.31 (7) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.88/34.31 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.88/34.31 (8) op(e2, e3) = all_52_1
% 203.88/34.31 (9) op(e3, e3) = e2
% 203.88/34.31 (10) ~ (e3 = e2)
% 203.88/34.31 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.31 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.31 (12) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.88/34.31 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.88/34.31 (13) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.88/34.31 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.88/34.31 (14) ~ (e3 = e1)
% 203.88/34.31 (15) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.88/34.31 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.88/34.31 (16) op(e2, e0) = all_42_1
% 203.88/34.31 (17) ~ (all_52_13 = e1)
% 203.88/34.31 (18) ~ (all_52_13 = e2)
% 203.88/34.31 (19) ~ (all_14_2 = e3)
% 203.88/34.31 (20) all_58_7 = e2
% 203.88/34.31 (21) op(e2, e0) = all_52_13
% 203.88/34.31 (22) ~ (all_52_1 = e1)
% 203.88/34.31 (23) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.88/34.31 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.88/34.31 (24) all_58_3 = e1
% 203.88/34.31 (25) ~ (e1 = e0)
% 203.88/34.31 (26) all_58_8 = e0
% 203.88/34.31 (27) ~ (all_52_9 = e1)
% 203.88/34.31 (28) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.88/34.31 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.88/34.31 (29) all_58_4 = e2
% 203.88/34.31 (30) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.88/34.31 (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.88/34.31 (31) ~ (e2 = e1)
% 203.88/34.31 (32) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.88/34.31 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.88/34.31 (33) op(e3, e3) = all_14_2
% 203.88/34.31 (34) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2, e1) = e3) |
% 203.88/34.31 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) = e3)
% 203.88/34.31 (35) ~ (e2 = e0)
% 203.88/34.31 (36) op(e2, e1) = all_52_9
% 203.88/34.31 (37) ~ (all_6_2 = e2)
% 203.88/34.31
% 203.88/34.31 Begin of proof
% 203.88/34.31 |
% 203.88/34.31 | BETA: splitting (3) gives:
% 203.88/34.31 |
% 203.88/34.31 | Case 1:
% 203.88/34.31 | |
% 203.88/34.31 | | (38) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) =
% 203.88/34.31 | | e1)
% 203.88/34.31 | |
% 203.88/34.31 | | BETA: splitting (38) gives:
% 203.88/34.31 | |
% 203.88/34.31 | | Case 1:
% 203.88/34.31 | | |
% 203.88/34.31 | | | (39) all_58_0 = e1 & op(e3, e3) = e1
% 203.88/34.31 | | |
% 203.88/34.31 | | | ALPHA: (39) implies:
% 203.88/34.31 | | | (40) op(e3, e3) = e1
% 203.88/34.31 | | |
% 203.88/34.31 | | | REF_CLOSE: (9), (11), (31), (40) are inconsistent by sub-proof #1609.
% 203.88/34.31 | | |
% 203.88/34.31 | | Case 2:
% 203.88/34.31 | | |
% 203.88/34.31 | | | (41) all_58_1 = e1 & op(e3, e2) = e1
% 203.88/34.31 | | |
% 203.88/34.31 | | | ALPHA: (41) implies:
% 203.88/34.31 | | | (42) all_58_1 = e1
% 203.88/34.31 | | |
% 203.88/34.31 | | | REF_CLOSE: (2), (7), (9), (10), (11), (12), (14), (15), (19), (20), (24),
% 203.88/34.31 | | | (25), (29), (30), (31), (33), (35), (42) are inconsistent by
% 203.88/34.31 | | | sub-proof #80.
% 203.88/34.31 | | |
% 203.88/34.31 | | End of split
% 203.88/34.31 | |
% 203.88/34.31 | Case 2:
% 203.88/34.31 | |
% 203.88/34.31 | | (43) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) =
% 203.88/34.31 | | e1)
% 203.88/34.31 | |
% 203.88/34.31 | | BETA: splitting (43) gives:
% 203.88/34.31 | |
% 203.88/34.31 | | Case 1:
% 203.88/34.31 | | |
% 203.88/34.31 | | | (44) all_58_4 = e1 & op(e3, e1) = e1
% 203.88/34.31 | | |
% 203.88/34.31 | | | ALPHA: (44) implies:
% 203.88/34.31 | | | (45) all_58_4 = e1
% 203.88/34.31 | | |
% 203.88/34.31 | | | REF_CLOSE: (29), (31), (45) are inconsistent by sub-proof #1647.
% 203.88/34.31 | | |
% 203.88/34.31 | | Case 2:
% 203.88/34.31 | | |
% 203.88/34.31 | | | (46) all_58_9 = e1 & op(e3, e0) = e1
% 203.88/34.31 | | |
% 203.88/34.31 | | | ALPHA: (46) implies:
% 203.88/34.31 | | | (47) all_58_9 = e1
% 203.88/34.31 | | |
% 203.88/34.31 | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 203.88/34.31 | | | (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 203.88/34.31 | | | (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 203.88/34.31 | | | (34), (35), (36), (37), (47) are inconsistent by sub-proof #79.
% 203.88/34.31 | | |
% 203.88/34.31 | | End of split
% 203.88/34.31 | |
% 203.88/34.31 | End of split
% 203.88/34.31 |
% 203.88/34.31 End of proof
% 203.88/34.31
% 203.88/34.31 Sub-proof #79 shows that the following formulas are inconsistent:
% 203.88/34.31 ----------------------------------------------------------------
% 203.88/34.31 (1) all_58_9 = e1
% 203.88/34.31 (2) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.88/34.31 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.88/34.31 (3) ~ (e3 = e0)
% 203.88/34.31 (4) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.88/34.31 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.88/34.31 (5) op(e2, e0) = all_30_1
% 203.88/34.31 (6) op(e2, e2) = all_6_2
% 203.88/34.31 (7) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.88/34.31 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.88/34.31 (8) op(e2, e3) = all_52_1
% 203.88/34.31 (9) op(e3, e3) = e2
% 203.88/34.31 (10) ~ (e3 = e2)
% 203.88/34.31 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.31 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.31 (12) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.88/34.31 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.88/34.31 (13) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.88/34.31 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.88/34.31 (14) ~ (e3 = e1)
% 203.88/34.31 (15) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.88/34.31 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.88/34.31 (16) op(e2, e0) = all_42_1
% 203.88/34.31 (17) ~ (all_52_13 = e1)
% 203.88/34.31 (18) ~ (all_52_13 = e2)
% 203.88/34.31 (19) ~ (all_14_2 = e3)
% 203.88/34.31 (20) all_58_7 = e2
% 203.88/34.31 (21) op(e2, e0) = all_52_13
% 203.88/34.31 (22) ~ (all_52_1 = e1)
% 203.88/34.31 (23) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.88/34.31 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.88/34.31 (24) all_58_3 = e1
% 203.88/34.31 (25) ~ (e1 = e0)
% 203.88/34.31 (26) all_58_8 = e0
% 203.88/34.31 (27) ~ (all_52_9 = e1)
% 203.88/34.31 (28) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.88/34.31 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.88/34.31 (29) all_58_4 = e2
% 203.88/34.31 (30) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.88/34.31 (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.88/34.31 (31) ~ (e2 = e1)
% 203.88/34.31 (32) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.88/34.31 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.88/34.31 (33) op(e3, e3) = all_14_2
% 203.88/34.32 (34) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2, e1) = e3) |
% 203.88/34.32 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) = e3)
% 203.88/34.32 (35) ~ (e2 = e0)
% 203.88/34.32 (36) op(e2, e1) = all_52_9
% 203.88/34.32 (37) ~ (all_6_2 = e2)
% 203.88/34.32
% 203.88/34.32 Begin of proof
% 203.88/34.32 |
% 203.88/34.32 | BETA: splitting (23) gives:
% 203.88/34.32 |
% 203.88/34.32 | Case 1:
% 203.88/34.32 | |
% 203.88/34.32 | | (38) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) =
% 203.88/34.32 | | e1)
% 203.88/34.32 | |
% 203.88/34.32 | | REF_CLOSE: (11), (27), (29), (31), (36), (38) are inconsistent by sub-proof
% 203.88/34.32 | | #388.
% 203.88/34.32 | |
% 203.88/34.32 | Case 2:
% 203.88/34.32 | |
% 203.88/34.32 | | (39) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) =
% 203.88/34.32 | | e1)
% 203.88/34.32 | |
% 203.88/34.32 | | BETA: splitting (39) gives:
% 203.88/34.32 | |
% 203.88/34.32 | | Case 1:
% 203.88/34.32 | | |
% 203.88/34.32 | | | (40) all_58_8 = e1 & op(e1, e1) = e1
% 203.88/34.32 | | |
% 203.88/34.32 | | | REF_CLOSE: (8), (11), (17), (21), (22), (24), (25), (26), (27), (28),
% 203.88/34.32 | | | (36), (40) are inconsistent by sub-proof #85.
% 203.88/34.32 | | |
% 203.88/34.32 | | Case 2:
% 203.88/34.32 | | |
% 203.88/34.32 | | | (41) all_58_14 = e1 & op(e0, e1) = e1
% 203.88/34.32 | | |
% 203.88/34.32 | | | ALPHA: (41) implies:
% 203.88/34.32 | | | (42) all_58_14 = e1
% 203.88/34.32 | | |
% 203.88/34.32 | | | BETA: splitting (7) gives:
% 203.88/34.32 | | |
% 203.88/34.32 | | | Case 1:
% 203.88/34.32 | | | |
% 203.88/34.32 | | | | (43) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2)
% 203.88/34.32 | | | | = e3)
% 203.88/34.32 | | | |
% 203.88/34.32 | | | | BETA: splitting (43) gives:
% 203.88/34.32 | | | |
% 203.88/34.32 | | | | Case 1:
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | | (44) all_58_0 = e3 & op(e3, e3) = e3
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | | REF_CLOSE: (11), (19), (33), (44) are inconsistent by sub-proof #1415.
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | Case 2:
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | | (45) all_58_1 = e3 & op(e3, e2) = e3
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | | ALPHA: (45) implies:
% 203.88/34.32 | | | | | (46) all_58_1 = e3
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | | BETA: splitting (13) gives:
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | | Case 1:
% 203.88/34.32 | | | | | |
% 203.88/34.32 | | | | | | (47) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2,
% 203.88/34.32 | | | | | | e2) = e2)
% 203.88/34.32 | | | | | |
% 203.88/34.32 | | | | | | REF_CLOSE: (2), (3), (4), (6), (9), (10), (11), (14), (19), (25),
% 203.88/34.32 | | | | | | (31), (32), (33), (35), (37), (47) are inconsistent by
% 203.88/34.32 | | | | | | sub-proof #623.
% 203.88/34.32 | | | | | |
% 203.88/34.32 | | | | | Case 2:
% 203.88/34.32 | | | | | |
% 203.88/34.32 | | | | | | (48) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2,
% 203.88/34.32 | | | | | | e0) = e2)
% 203.88/34.32 | | | | | |
% 203.88/34.32 | | | | | | BETA: splitting (48) gives:
% 203.88/34.32 | | | | | |
% 203.88/34.32 | | | | | | Case 1:
% 203.88/34.32 | | | | | | |
% 203.88/34.32 | | | | | | | (49) all_58_5 = e2 & op(e2, e1) = e2
% 203.88/34.32 | | | | | | |
% 203.88/34.32 | | | | | | | ALPHA: (49) implies:
% 203.88/34.32 | | | | | | | (50) all_58_5 = e2
% 203.88/34.32 | | | | | | |
% 203.88/34.32 | | | | | | | BETA: splitting (34) gives:
% 203.88/34.32 | | | | | | |
% 203.88/34.32 | | | | | | | Case 1:
% 203.88/34.32 | | | | | | | |
% 203.88/34.32 | | | | | | | | (51) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 &
% 203.88/34.32 | | | | | | | | op(e2, e1) = e3)
% 203.88/34.32 | | | | | | | |
% 203.88/34.32 | | | | | | | | BETA: splitting (51) gives:
% 203.88/34.32 | | | | | | | |
% 203.88/34.32 | | | | | | | | Case 1:
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | (52) all_58_4 = e3 & op(e3, e1) = e3
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | ALPHA: (52) implies:
% 203.88/34.32 | | | | | | | | | (53) all_58_4 = e3
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | COMBINE_EQS: (29), (53) imply:
% 203.88/34.32 | | | | | | | | | (54) e3 = e2
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | SIMP: (54) implies:
% 203.88/34.32 | | | | | | | | | (55) e3 = e2
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | COMBINE_EQS: (46), (55) imply:
% 203.88/34.32 | | | | | | | | | (56) all_58_1 = e2
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | REF_CLOSE: (1), (3), (9), (11), (15), (25), (35), (53), (56)
% 203.88/34.32 | | | | | | | | | are inconsistent by sub-proof #487.
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | Case 2:
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | (57) all_58_5 = e3 & op(e2, e1) = e3
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | REF_CLOSE: (10), (50), (57) are inconsistent by sub-proof
% 203.88/34.32 | | | | | | | | | #999.
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | End of split
% 203.88/34.32 | | | | | | | |
% 203.88/34.32 | | | | | | | Case 2:
% 203.88/34.32 | | | | | | | |
% 203.88/34.32 | | | | | | | | (58) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 &
% 203.88/34.32 | | | | | | | | op(e0, e1) = e3)
% 203.88/34.32 | | | | | | | |
% 203.88/34.32 | | | | | | | | BETA: splitting (58) gives:
% 203.88/34.32 | | | | | | | |
% 203.88/34.32 | | | | | | | | Case 1:
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | (59) all_58_8 = e3 & op(e1, e1) = e3
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | REF_CLOSE: (3), (26), (59) are inconsistent by sub-proof #251.
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | Case 2:
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | (60) all_58_14 = e3 & op(e0, e1) = e3
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | ALPHA: (60) implies:
% 203.88/34.32 | | | | | | | | | (61) all_58_14 = e3
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | COMBINE_EQS: (42), (61) imply:
% 203.88/34.32 | | | | | | | | | (62) e3 = e1
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | COMBINE_EQS: (46), (62) imply:
% 203.88/34.32 | | | | | | | | | (63) all_58_1 = e1
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | | REF_CLOSE: (3), (7), (9), (10), (11), (12), (14), (15), (19),
% 203.88/34.32 | | | | | | | | | (20), (24), (25), (29), (30), (31), (33), (35),
% 203.88/34.32 | | | | | | | | | (63) are inconsistent by sub-proof #80.
% 203.88/34.32 | | | | | | | | |
% 203.88/34.32 | | | | | | | | End of split
% 203.88/34.32 | | | | | | | |
% 203.88/34.32 | | | | | | | End of split
% 203.88/34.32 | | | | | | |
% 203.88/34.32 | | | | | | Case 2:
% 203.88/34.32 | | | | | | |
% 203.88/34.32 | | | | | | | (64) all_58_10 = e2 & op(e2, e0) = e2
% 203.88/34.32 | | | | | | |
% 203.88/34.32 | | | | | | | ALPHA: (64) implies:
% 203.88/34.32 | | | | | | | (65) op(e2, e0) = e2
% 203.88/34.32 | | | | | | |
% 203.88/34.32 | | | | | | | REF_CLOSE: (5), (11), (16), (18), (21), (65) are inconsistent by
% 203.88/34.32 | | | | | | | sub-proof #1425.
% 203.88/34.32 | | | | | | |
% 203.88/34.32 | | | | | | End of split
% 203.88/34.32 | | | | | |
% 203.88/34.32 | | | | | End of split
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | End of split
% 203.88/34.32 | | | |
% 203.88/34.32 | | | Case 2:
% 203.88/34.32 | | | |
% 203.88/34.32 | | | | (66) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0)
% 203.88/34.32 | | | | = e3)
% 203.88/34.32 | | | |
% 203.88/34.32 | | | | BETA: splitting (66) gives:
% 203.88/34.32 | | | |
% 203.88/34.32 | | | | Case 1:
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | | (67) all_58_4 = e3 & op(e3, e1) = e3
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | | REF_CLOSE: (10), (29), (67) are inconsistent by sub-proof #966.
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | Case 2:
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | | (68) all_58_9 = e3 & op(e3, e0) = e3
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | | REF_CLOSE: (1), (14), (68) are inconsistent by sub-proof #1539.
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | End of split
% 203.88/34.32 | | | |
% 203.88/34.32 | | | End of split
% 203.88/34.32 | | |
% 203.88/34.32 | | End of split
% 203.88/34.32 | |
% 203.88/34.32 | End of split
% 203.88/34.32 |
% 203.88/34.32 End of proof
% 203.88/34.32
% 203.88/34.32 Sub-proof #80 shows that the following formulas are inconsistent:
% 203.88/34.32 ----------------------------------------------------------------
% 203.88/34.32 (1) ~ (e3 = e0)
% 203.88/34.32 (2) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.88/34.32 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.88/34.32 (3) op(e3, e3) = e2
% 203.88/34.32 (4) ~ (e3 = e2)
% 203.88/34.32 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.32 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.32 (6) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.88/34.32 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.88/34.32 (7) ~ (e3 = e1)
% 203.88/34.32 (8) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.88/34.32 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.88/34.32 (9) ~ (all_14_2 = e3)
% 203.88/34.32 (10) all_58_7 = e2
% 203.88/34.32 (11) all_58_1 = e1
% 203.88/34.32 (12) all_58_3 = e1
% 203.88/34.32 (13) ~ (e1 = e0)
% 203.88/34.32 (14) all_58_4 = e2
% 203.88/34.32 (15) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.88/34.32 (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.88/34.32 (16) ~ (e2 = e1)
% 203.88/34.32 (17) op(e3, e3) = all_14_2
% 203.88/34.32 (18) ~ (e2 = e0)
% 203.88/34.32
% 203.88/34.32 Begin of proof
% 203.88/34.32 |
% 203.88/34.32 | BETA: splitting (2) gives:
% 203.88/34.32 |
% 203.88/34.32 | Case 1:
% 203.88/34.32 | |
% 203.88/34.32 | | (19) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) =
% 203.88/34.32 | | e3)
% 203.88/34.32 | |
% 203.88/34.32 | | BETA: splitting (19) gives:
% 203.88/34.32 | |
% 203.88/34.32 | | Case 1:
% 203.88/34.32 | | |
% 203.88/34.32 | | | (20) all_58_0 = e3 & op(e3, e3) = e3
% 203.88/34.32 | | |
% 203.88/34.32 | | | REF_CLOSE: (5), (9), (17), (20) are inconsistent by sub-proof #1415.
% 203.88/34.32 | | |
% 203.88/34.32 | | Case 2:
% 203.88/34.32 | | |
% 203.88/34.32 | | | (21) all_58_1 = e3 & op(e3, e2) = e3
% 203.88/34.32 | | |
% 203.88/34.32 | | | REF_CLOSE: (7), (11), (21) are inconsistent by sub-proof #1792.
% 203.88/34.32 | | |
% 203.88/34.32 | | End of split
% 203.88/34.32 | |
% 203.88/34.32 | Case 2:
% 203.88/34.32 | |
% 203.88/34.32 | | (22) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) =
% 203.88/34.32 | | e3)
% 203.88/34.32 | |
% 203.88/34.32 | | BETA: splitting (22) gives:
% 203.88/34.32 | |
% 203.88/34.32 | | Case 1:
% 203.88/34.32 | | |
% 203.88/34.32 | | | (23) all_58_4 = e3 & op(e3, e1) = e3
% 203.88/34.32 | | |
% 203.88/34.32 | | | ALPHA: (23) implies:
% 203.88/34.32 | | | (24) all_58_4 = e3
% 203.88/34.32 | | |
% 203.88/34.32 | | | REF_CLOSE: (4), (14), (24) are inconsistent by sub-proof #1002.
% 203.88/34.32 | | |
% 203.88/34.32 | | Case 2:
% 203.88/34.32 | | |
% 203.88/34.32 | | | (25) all_58_9 = e3 & op(e3, e0) = e3
% 203.88/34.32 | | |
% 203.88/34.32 | | | ALPHA: (25) implies:
% 203.88/34.32 | | | (26) all_58_9 = e3
% 203.88/34.32 | | |
% 203.88/34.32 | | | BETA: splitting (8) gives:
% 203.88/34.32 | | |
% 203.88/34.32 | | | Case 1:
% 203.88/34.32 | | | |
% 203.88/34.32 | | | | (27) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2)
% 203.88/34.32 | | | | = e0)
% 203.88/34.32 | | | |
% 203.88/34.32 | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (10), (11), (12), (13), (15),
% 203.88/34.32 | | | | (16), (18), (27) are inconsistent by sub-proof #147.
% 203.88/34.32 | | | |
% 203.88/34.32 | | | Case 2:
% 203.88/34.32 | | | |
% 203.88/34.32 | | | | (28) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0)
% 203.88/34.32 | | | | = e0)
% 203.88/34.32 | | | |
% 203.88/34.32 | | | | BETA: splitting (28) gives:
% 203.88/34.32 | | | |
% 203.88/34.32 | | | | Case 1:
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | | (29) all_58_4 = e0 & op(e3, e1) = e0
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | | REF_CLOSE: (14), (18), (29) are inconsistent by sub-proof #1577.
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | Case 2:
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | | (30) all_58_9 = e0 & op(e3, e0) = e0
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | | REF_CLOSE: (1), (26), (30) are inconsistent by sub-proof #1505.
% 203.88/34.32 | | | | |
% 203.88/34.32 | | | | End of split
% 203.88/34.32 | | | |
% 203.88/34.32 | | | End of split
% 203.88/34.32 | | |
% 203.88/34.32 | | End of split
% 203.88/34.32 | |
% 203.88/34.32 | End of split
% 203.88/34.32 |
% 203.88/34.32 End of proof
% 203.88/34.32
% 203.88/34.32 Sub-proof #81 shows that the following formulas are inconsistent:
% 203.88/34.32 ----------------------------------------------------------------
% 203.88/34.32 (1) ~ (all_52_4 = e2)
% 203.88/34.32 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.32 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.32 (3) op(e3, e3) = e1
% 203.88/34.32 (4) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2)
% 203.88/34.32 (5) ~ (e2 = e1)
% 203.88/34.32 (6) op(e3, e2) = all_52_4
% 203.88/34.32
% 203.88/34.32 Begin of proof
% 203.88/34.32 |
% 203.88/34.32 | BETA: splitting (4) gives:
% 203.88/34.32 |
% 203.88/34.32 | Case 1:
% 203.88/34.32 | |
% 203.88/34.32 | | (7) all_58_0 = e2 & op(e3, e3) = e2
% 203.88/34.32 | |
% 203.88/34.32 | | ALPHA: (7) implies:
% 203.88/34.32 | | (8) op(e3, e3) = e2
% 203.88/34.32 | |
% 203.88/34.32 | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1609.
% 203.88/34.32 | |
% 203.88/34.32 | Case 2:
% 203.88/34.32 | |
% 203.88/34.32 | | (9) all_58_1 = e2 & op(e3, e2) = e2
% 203.88/34.32 | |
% 203.88/34.32 | | REF_CLOSE: (1), (2), (6), (9) are inconsistent by sub-proof #410.
% 203.88/34.32 | |
% 203.88/34.32 | End of split
% 203.88/34.32 |
% 203.88/34.32 End of proof
% 203.88/34.32
% 203.88/34.32 Sub-proof #82 shows that the following formulas are inconsistent:
% 203.88/34.32 ----------------------------------------------------------------
% 203.88/34.32 (1) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0, e0) = e3)
% 203.88/34.32 (2) ~ (all_10_2 = e3)
% 203.88/34.32 (3) op(e0, e0) = all_10_2
% 203.88/34.32 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.32 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.32 (5) ~ (e3 = e1)
% 203.88/34.32 (6) all_58_11 = e1
% 203.88/34.32
% 203.88/34.32 Begin of proof
% 203.88/34.32 |
% 203.88/34.32 | BETA: splitting (1) gives:
% 203.88/34.32 |
% 203.88/34.32 | Case 1:
% 203.88/34.32 | |
% 203.88/34.32 | | (7) all_58_11 = e3 & op(e1, e0) = e3
% 203.88/34.32 | |
% 203.88/34.32 | | ALPHA: (7) implies:
% 203.88/34.32 | | (8) all_58_11 = e3
% 203.88/34.32 | |
% 203.88/34.32 | | REF_CLOSE: (5), (6), (8) are inconsistent by sub-proof #799.
% 203.88/34.32 | |
% 203.88/34.32 | Case 2:
% 203.88/34.32 | |
% 203.88/34.32 | | (9) all_58_15 = e3 & op(e0, e0) = e3
% 203.88/34.32 | |
% 203.88/34.32 | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1398.
% 203.88/34.32 | |
% 203.88/34.32 | End of split
% 203.88/34.32 |
% 203.88/34.32 End of proof
% 203.88/34.32
% 203.88/34.32 Sub-proof #83 shows that the following formulas are inconsistent:
% 203.88/34.32 ----------------------------------------------------------------
% 203.88/34.32 (1) all_58_11 = e0
% 203.88/34.32 (2) op(e1, e2) = all_52_6
% 203.88/34.32 (3) all_58_6 = e3
% 203.88/34.32 (4) op(e2, e3) = all_52_1
% 203.88/34.32 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.32 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.32 (6) ~ (e3 = e1)
% 203.88/34.32 (7) ~ (all_52_13 = e1)
% 203.88/34.32 (8) op(e2, e0) = all_52_13
% 203.88/34.32 (9) ~ (all_52_1 = e1)
% 203.88/34.32 (10) all_58_3 = e1
% 203.88/34.32 (11) ~ (e1 = e0)
% 203.88/34.32 (12) all_58_8 = e0
% 203.88/34.32 (13) ~ (all_52_9 = e1)
% 203.88/34.32 (14) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.88/34.32 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.88/34.32 (15) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.88/34.32 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.88/34.32 (16) op(e2, e1) = all_52_9
% 203.88/34.32 (17) ~ (all_52_6 = e1)
% 203.88/34.32
% 203.88/34.32 Begin of proof
% 203.88/34.32 |
% 203.88/34.32 | BETA: splitting (15) gives:
% 203.88/34.32 |
% 203.88/34.32 | Case 1:
% 203.88/34.32 | |
% 203.88/34.32 | | (18) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) =
% 203.88/34.32 | | e1)
% 203.88/34.32 | |
% 203.88/34.32 | | BETA: splitting (18) gives:
% 203.88/34.32 | |
% 203.88/34.32 | | Case 1:
% 203.88/34.32 | | |
% 203.88/34.32 | | | (19) all_58_6 = e1 & op(e1, e3) = e1
% 203.88/34.32 | | |
% 203.88/34.32 | | | REF_CLOSE: (3), (6), (19) are inconsistent by sub-proof #1853.
% 203.88/34.32 | | |
% 203.88/34.32 | | Case 2:
% 203.88/34.32 | | |
% 203.88/34.32 | | | (20) all_58_7 = e1 & op(e1, e2) = e1
% 203.88/34.32 | | |
% 203.88/34.32 | | | ALPHA: (20) implies:
% 203.88/34.32 | | | (21) op(e1, e2) = e1
% 203.88/34.32 | | |
% 203.88/34.32 | | | REF_CLOSE: (2), (5), (17), (21) are inconsistent by sub-proof #445.
% 203.88/34.32 | | |
% 203.88/34.32 | | End of split
% 203.88/34.32 | |
% 203.88/34.32 | Case 2:
% 203.88/34.32 | |
% 203.88/34.32 | | (22) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) =
% 203.88/34.32 | | e1)
% 203.88/34.32 | |
% 203.88/34.32 | | BETA: splitting (22) gives:
% 203.88/34.32 | |
% 203.88/34.32 | | Case 1:
% 203.88/34.32 | | |
% 203.88/34.32 | | | (23) all_58_8 = e1 & op(e1, e1) = e1
% 203.88/34.32 | | |
% 203.88/34.32 | | | REF_CLOSE: (4), (5), (7), (8), (9), (10), (11), (12), (13), (14), (16),
% 203.88/34.32 | | | (23) are inconsistent by sub-proof #85.
% 203.88/34.32 | | |
% 203.88/34.32 | | Case 2:
% 203.88/34.32 | | |
% 203.88/34.32 | | | (24) all_58_11 = e1 & op(e1, e0) = e1
% 203.88/34.32 | | |
% 203.88/34.32 | | | REF_CLOSE: (1), (4), (5), (7), (8), (9), (10), (11), (13), (14), (16),
% 203.88/34.32 | | | (24) are inconsistent by sub-proof #84.
% 203.88/34.32 | | |
% 203.88/34.32 | | End of split
% 203.88/34.32 | |
% 203.88/34.32 | End of split
% 203.88/34.32 |
% 203.88/34.32 End of proof
% 203.88/34.32
% 203.88/34.32 Sub-proof #84 shows that the following formulas are inconsistent:
% 203.88/34.32 ----------------------------------------------------------------
% 203.88/34.32 (1) all_58_11 = e0
% 203.88/34.32 (2) all_58_11 = e1 & op(e1, e0) = e1
% 203.88/34.32 (3) op(e2, e3) = all_52_1
% 203.88/34.32 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.32 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.32 (5) ~ (all_52_13 = e1)
% 203.88/34.32 (6) op(e2, e0) = all_52_13
% 203.88/34.32 (7) ~ (all_52_1 = e1)
% 203.88/34.32 (8) all_58_3 = e1
% 203.88/34.32 (9) ~ (e1 = e0)
% 203.88/34.32 (10) ~ (all_52_9 = e1)
% 203.88/34.32 (11) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.88/34.32 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.88/34.32 (12) op(e2, e1) = all_52_9
% 203.88/34.32
% 203.88/34.32 Begin of proof
% 203.88/34.32 |
% 203.88/34.32 | ALPHA: (2) implies:
% 203.88/34.32 | (13) all_58_11 = e1
% 203.88/34.32 |
% 203.88/34.32 | COMBINE_EQS: (1), (13) imply:
% 203.88/34.32 | (14) e1 = e0
% 203.88/34.32 |
% 203.88/34.32 | COMBINE_EQS: (8), (14) imply:
% 203.88/34.32 | (15) all_58_3 = e0
% 203.88/34.32 |
% 203.88/34.32 | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (11), (12), (15) are
% 203.88/34.32 | inconsistent by sub-proof #105.
% 203.88/34.32 |
% 203.88/34.32 End of proof
% 203.88/34.32
% 203.88/34.32 Sub-proof #85 shows that the following formulas are inconsistent:
% 203.88/34.32 ----------------------------------------------------------------
% 203.88/34.32 (1) op(e2, e3) = all_52_1
% 203.88/34.32 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.32 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.32 (3) ~ (all_52_13 = e1)
% 203.88/34.32 (4) op(e2, e0) = all_52_13
% 203.88/34.32 (5) ~ (all_52_1 = e1)
% 203.88/34.32 (6) all_58_3 = e1
% 203.88/34.32 (7) all_58_8 = e1 & op(e1, e1) = e1
% 203.88/34.32 (8) ~ (e1 = e0)
% 203.88/34.32 (9) all_58_8 = e0
% 203.88/34.32 (10) ~ (all_52_9 = e1)
% 203.88/34.32 (11) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.88/34.32 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.88/34.32 (12) op(e2, e1) = all_52_9
% 203.88/34.32
% 203.88/34.32 Begin of proof
% 203.88/34.32 |
% 203.88/34.32 | ALPHA: (7) implies:
% 203.88/34.32 | (13) all_58_8 = e1
% 203.88/34.32 |
% 203.88/34.32 | COMBINE_EQS: (9), (13) imply:
% 203.88/34.32 | (14) e1 = e0
% 203.88/34.32 |
% 203.88/34.32 | COMBINE_EQS: (6), (14) imply:
% 203.88/34.32 | (15) all_58_3 = e0
% 203.88/34.32 |
% 203.88/34.32 | REF_CLOSE: (1), (2), (3), (4), (5), (8), (10), (11), (12), (15) are
% 203.88/34.32 | inconsistent by sub-proof #105.
% 203.88/34.32 |
% 203.88/34.32 End of proof
% 203.88/34.32
% 203.88/34.32 Sub-proof #86 shows that the following formulas are inconsistent:
% 203.88/34.32 ----------------------------------------------------------------
% 203.88/34.32 (1) all_54_6 = all_52_9
% 203.88/34.32 (2) op(e2, e0) = e0
% 203.88/34.32 (3) all_54_1 = all_52_4
% 203.88/34.32 (4) ~ (all_52_9 = all_4_1)
% 203.88/34.32 (5) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.88/34.32 (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.88/34.32 (6) ~ (all_10_2 = e3)
% 203.88/34.32 (7) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 203.88/34.32 (8) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 203.88/34.32 (9) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) |
% 203.88/34.32 (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)
% 203.88/34.32 (10) ~ (e3 = e0)
% 203.88/34.32 (11) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1) |
% 203.88/34.32 (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) = e1)
% 203.88/34.32 (12) ~ (all_52_13 = all_10_2)
% 203.88/34.32 (13) ~ (all_52_12 = all_10_2)
% 203.88/34.32 (14) ~ (all_52_7 = all_4_1)
% 203.88/34.32 (15) all_54_3 = all_52_12
% 203.88/34.32 (16) op(e0, e0) = all_10_2
% 203.88/34.32 (17) all_54_11 = all_52_14
% 203.88/34.32 (18) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3) |
% 203.88/34.32 (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) = e3)
% 203.88/34.32 (19) ~ (all_52_8 = all_52_9)
% 203.88/34.32 (20) op(e2, e2) = all_6_2
% 203.88/34.32 (21) ~ (all_44_2 = e0) | (op(e0, e3) = all_44_1 & $i(all_44_1) & ( ~
% 203.88/34.32 (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1, e3) = all_44_0 &
% 203.88/34.32 $i(all_44_0))))
% 203.88/34.32 (22) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3) |
% 203.88/34.32 (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) = e3)
% 203.88/34.32 (23) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 203.88/34.32 (24) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2 & op(e1, e2) = e2) |
% 203.88/34.32 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 = e2 & op(e1, e0) = e2)
% 203.88/34.32 (25) op(e1, e2) = all_52_6
% 203.88/34.32 (26) op(e2, e3) = all_52_1
% 203.88/34.32 (27) ~ (all_52_8 = all_52_12)
% 203.88/34.32 (28) op(e0, e2) = all_52_7
% 203.88/34.32 (29) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) |
% 203.88/34.32 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)
% 203.88/34.32 (30) ~ (e3 = e2)
% 203.88/34.32 (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 203.88/34.32 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 203.88/34.32 (32) ~ (all_52_8 = e0)
% 203.88/34.32 (33) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3) |
% 203.88/34.32 (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.88/34.32 (34) ~ (all_40_2 = e1) | (op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 203.88/34.32 (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3, e0) = all_40_0 &
% 203.88/34.32 $i(all_40_0))))
% 203.88/34.32 (35) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2) |
% 203.88/34.32 (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) = e2)
% 203.88/34.32 (36) ~ (e3 = e1)
% 203.88/34.32 (37) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0) |
% 203.88/34.32 (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) = e0)
% 203.88/34.32 (38) all_56_14 = e0
% 203.88/34.32 (39) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 203.88/34.32 (40) ~ (all_52_8 = all_4_1)
% 203.88/34.32 (41) all_44_2 = e0
% 203.88/34.32 (42) ~ (all_52_6 = e0)
% 203.88/34.32 (43) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)
% 203.88/34.32 | (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 = e3 & op(e0, e0) =
% 203.88/34.32 e3)
% 203.88/34.32 (44) ~ (all_10_2 = e0)
% 203.88/34.32 (45) ~ (all_52_7 = all_6_1)
% 203.88/34.32 (46) op(e1, e0) = all_52_14
% 203.88/34.32 (47) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) |
% 203.88/34.32 (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)
% 203.88/34.32 (48) ~ (all_52_13 = e1)
% 203.88/34.32 (49) ~ (all_52_3 = all_4_1)
% 203.88/34.32 (50) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 203.88/34.32 (51) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 203.88/34.32 (52) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 203.88/34.32 (53) op(e3, e3) = e0
% 203.88/34.32 (54) all_54_14 = all_4_1
% 203.88/34.32 (55) all_58_10 = e0
% 203.88/34.32 (56) ~ (all_52_4 = all_52_12)
% 203.88/34.32 (57) all_54_4 = all_52_1
% 203.88/34.32 (58) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 203.88/34.32 (59) op(e3, e1) = all_52_8
% 203.88/34.32 (60) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) |
% 203.88/34.32 (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)
% 203.88/34.32 (61) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0 & op(e2, e1) = e0) |
% 203.88/34.32 (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 = e0 & op(e0, e1) = e0)
% 203.88/34.32 (62) ~ (all_14_2 = e3)
% 203.88/34.32 (63) ~ (all_52_3 = e0)
% 203.88/34.32 (64) op(e0, e3) = all_52_3
% 203.88/34.32 (65) op(e2, e0) = all_52_13
% 203.88/34.32 (66) all_54_9 = all_52_6
% 203.88/34.32 (67) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 = e2 & op(e2, e0) = e2) |
% 203.88/34.32 (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 = e2 & op(e0, e0) = e2)
% 203.88/34.32 (68) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 & op(e0, e2) = e1)
% 203.88/34.32 | (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 & op(e0, e0) =
% 203.88/34.32 e1)
% 203.88/34.32 (69) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 203.88/34.32 (70) ~ (all_52_4 = all_52_7)
% 203.88/34.32 (71) all_56_15 = all_10_2
% 203.88/34.32 (72) ~ (all_52_4 = e1)
% 203.88/34.32 (73) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 203.88/34.32 (74) ~ (all_52_12 = all_52_13)
% 203.88/34.32 (75) ~ (all_52_1 = e1)
% 203.88/34.32 (76) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1) |
% 203.88/34.32 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) = e1)
% 203.88/34.32 (77) all_58_3 = e1
% 203.88/34.32 (78) ~ (e1 = e0)
% 203.88/34.32 (79) op(e0, e3) = all_34_1
% 203.88/34.32 (80) all_58_8 = e0
% 203.88/34.32 (81) all_40_2 = all_10_2
% 203.88/34.32 (82) ~ (all_52_4 = all_6_1)
% 203.88/34.32 (83) ~ (all_52_12 = all_52_14)
% 203.88/34.32 (84) ~ (all_52_9 = e1)
% 203.88/34.32 (85) ~ (all_52_1 = all_52_9)
% 203.88/34.32 (86) ~ (all_30_2 = e2) | (op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 203.88/34.32 (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3, e0) = all_30_0 &
% 203.88/34.32 $i(all_30_0))))
% 203.88/34.32 (87) all_54_15 = all_10_2
% 203.88/34.32 (88) (all_58_15 = e0 & op(e0, e0) = e0) | (((all_58_9 = e0 & op(e3, e0) = e0)
% 203.88/34.32 | (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1, e0)
% 203.88/34.32 = e0)) & ((all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 = e0 &
% 203.88/34.32 op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1) = e0)))
% 203.88/34.32 (89) ~ (all_52_13 = all_52_14)
% 203.88/34.32 (90) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) |
% 203.88/34.32 (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.88/34.33 (91) (op(e3, e2) = all_56_0 & op(e1, e2) = all_56_7 & op(e0, e2) = all_56_10
% 203.88/34.33 & $i(all_56_0) & $i(all_56_7) & $i(all_56_10) & ( ~ (all_56_12 = e2) |
% 203.88/34.33 all_56_0 = e3) & ( ~ (all_56_14 = e2) | all_56_7 = e1) & ( ~
% 203.88/34.33 (all_56_15 = e2) | all_56_10 = e0) & (all_56_0 = e1 | ( ~ (all_56_1
% 203.88/34.33 = e2) & op(e3, e1) = all_56_1 & $i(all_56_1))) & (all_56_0 = e0
% 203.88/34.33 | ( ~ (all_56_2 = e2) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.88/34.33 (all_56_7 = e3 | ( ~ (all_56_6 = e2) & op(e1, e3) = all_56_6 &
% 203.88/34.33 $i(all_56_6))) & (all_56_7 = e0 | ( ~ (all_56_8 = e2) & op(e1, e0)
% 203.88/34.33 = all_56_8 & $i(all_56_8))) & (all_56_10 = e3 | ( ~ (all_56_9 =
% 203.88/34.33 e2) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_10 = e1 |
% 203.88/34.33 ( ~ (all_56_11 = e2) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.88/34.33 (all_56_13 = e3 | ( ~ (all_56_3 = e2) & op(e2, e3) = all_56_3 &
% 203.88/34.33 $i(all_56_3))) & (all_56_13 = e1 | ( ~ (all_56_4 = e2) & op(e2,
% 203.88/34.33 e1) = all_56_4 & $i(all_56_4))) & (all_56_13 = e0 | ( ~
% 203.88/34.33 (all_56_5 = e2) & op(e2, e0) = all_56_5 & $i(all_56_5)))) |
% 203.88/34.33 (op(e3, e1) = all_56_1 & op(e2, e1) = all_56_4 & op(e0, e1) = all_56_11
% 203.88/34.33 & $i(all_56_1) & $i(all_56_4) & $i(all_56_11) & ( ~ (all_56_12 = e1) |
% 203.88/34.33 all_56_1 = e3) & ( ~ (all_56_13 = e1) | all_56_4 = e2) & ( ~
% 203.88/34.33 (all_56_15 = e1) | all_56_11 = e0) & (all_56_1 = e2 | ( ~ (all_56_0
% 203.88/34.33 = e1) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_1 = e0
% 203.88/34.33 | ( ~ (all_56_2 = e1) & op(e3, e0) = all_56_2 & $i(all_56_2))) &
% 203.88/34.33 (all_56_4 = e3 | ( ~ (all_56_3 = e1) & op(e2, e3) = all_56_3 &
% 203.88/34.33 $i(all_56_3))) & (all_56_4 = e0 | ( ~ (all_56_5 = e1) & op(e2, e0)
% 203.88/34.33 = all_56_5 & $i(all_56_5))) & (all_56_11 = e3 | ( ~ (all_56_9 =
% 203.88/34.33 e1) & op(e0, e3) = all_56_9 & $i(all_56_9))) & (all_56_11 = e2 |
% 203.88/34.33 ( ~ (all_56_10 = e1) & op(e0, e2) = all_56_10 & $i(all_56_10))) &
% 203.88/34.33 (all_56_14 = e3 | ( ~ (all_56_6 = e1) & op(e1, e3) = all_56_6 &
% 203.88/34.33 $i(all_56_6))) & (all_56_14 = e2 | ( ~ (all_56_7 = e1) & op(e1,
% 203.88/34.33 e2) = all_56_7 & $i(all_56_7))) & (all_56_14 = e0 | ( ~
% 203.88/34.33 (all_56_8 = e1) & op(e1, e0) = all_56_8 & $i(all_56_8)))) |
% 203.88/34.33 (op(e3, e0) = all_56_2 & op(e2, e0) = all_56_5 & op(e1, e0) = all_56_8 &
% 203.88/34.33 $i(all_56_2) & $i(all_56_5) & $i(all_56_8) & ( ~ (all_56_12 = e0) |
% 203.88/34.33 all_56_2 = e3) & ( ~ (all_56_13 = e0) | all_56_5 = e2) & ( ~
% 203.88/34.33 (all_56_14 = e0) | all_56_8 = e1) & (all_56_2 = e2 | ( ~ (all_56_0 =
% 203.88/34.33 e0) & op(e3, e2) = all_56_0 & $i(all_56_0))) & (all_56_2 = e1 |
% 203.88/34.33 ( ~ (all_56_1 = e0) & op(e3, e1) = all_56_1 & $i(all_56_1))) &
% 203.88/34.33 (all_56_5 = e3 | ( ~ (all_56_3 = e0) & op(e2, e3) = all_56_3 &
% 203.88/34.33 $i(all_56_3))) & (all_56_5 = e1 | ( ~ (all_56_4 = e0) & op(e2, e1)
% 203.88/34.33 = all_56_4 & $i(all_56_4))) & (all_56_8 = e3 | ( ~ (all_56_6 = e0)
% 203.88/34.33 & op(e1, e3) = all_56_6 & $i(all_56_6))) & (all_56_8 = e2 | ( ~
% 203.88/34.33 (all_56_7 = e0) & op(e1, e2) = all_56_7 & $i(all_56_7))) &
% 203.88/34.33 (all_56_15 = e3 | ( ~ (all_56_9 = e0) & op(e0, e3) = all_56_9 &
% 203.88/34.33 $i(all_56_9))) & (all_56_15 = e2 | ( ~ (all_56_10 = e0) & op(e0,
% 203.88/34.33 e2) = all_56_10 & $i(all_56_10))) & (all_56_15 = e1 | ( ~
% 203.88/34.33 (all_56_11 = e0) & op(e0, e1) = all_56_11 & $i(all_56_11)))) |
% 203.88/34.33 (op(e2, e3) = all_56_3 & op(e1, e3) = all_56_6 & op(e0, e3) = all_56_9 &
% 203.88/34.33 $i(all_56_3) & $i(all_56_6) & $i(all_56_9) & ( ~ (all_56_13 = e3) |
% 203.88/34.33 all_56_3 = e2) & ( ~ (all_56_14 = e3) | all_56_6 = e1) & ( ~
% 203.88/34.33 (all_56_15 = e3) | all_56_9 = e0) & (all_56_3 = e1 | ( ~ (all_56_4 =
% 203.88/34.33 e3) & op(e2, e1) = all_56_4 & $i(all_56_4))) & (all_56_3 = e0 |
% 203.88/34.33 ( ~ (all_56_5 = e3) & op(e2, e0) = all_56_5 & $i(all_56_5))) &
% 203.88/34.33 (all_56_6 = e2 | ( ~ (all_56_7 = e3) & op(e1, e2) = all_56_7 &
% 203.88/34.33 $i(all_56_7))) & (all_56_6 = e0 | ( ~ (all_56_8 = e3) & op(e1, e0)
% 203.88/34.33 = all_56_8 & $i(all_56_8))) & (all_56_9 = e2 | ( ~ (all_56_10 =
% 203.88/34.33 e3) & op(e0, e2) = all_56_10 & $i(all_56_10))) & (all_56_9 = e1
% 203.88/34.33 | ( ~ (all_56_11 = e3) & op(e0, e1) = all_56_11 & $i(all_56_11))) &
% 203.88/34.33 (all_56_12 = e2 | ( ~ (all_56_0 = e3) & op(e3, e2) = all_56_0 &
% 203.88/34.33 $i(all_56_0))) & (all_56_12 = e1 | ( ~ (all_56_1 = e3) & op(e3,
% 203.88/34.33 e1) = all_56_1 & $i(all_56_1))) & (all_56_12 = e0 | ( ~
% 203.88/34.33 (all_56_2 = e3) & op(e3, e0) = all_56_2 & $i(all_56_2))))
% 203.88/34.33 (92) all_54_9 = all_6_1
% 203.88/34.33 (93) ~ (e2 = e1)
% 203.88/34.33 (94) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0) |
% 203.88/34.33 (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) = e0)
% 203.88/34.33 (95) op(e3, e3) = all_14_2
% 203.88/34.33 (96) ~ (all_52_9 = all_52_13)
% 203.88/34.33 (97) ~ (all_52_14 = all_10_2)
% 203.88/34.33 (98) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) |
% 203.88/34.33 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)
% 203.88/34.33 (99) op(e2, e2) = e1
% 203.88/34.33 (100) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1) |
% 203.88/34.33 (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) = e1)
% 203.88/34.33 (101) all_54_12 = all_52_3
% 203.88/34.33 (102) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2) |
% 203.88/34.33 (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) = e2)
% 203.88/34.33 (103) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2, e1) = e3) |
% 203.88/34.33 (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) = e3)
% 203.88/34.33 (104) ~ (all_6_1 = e1)
% 203.88/34.33 (105) op(e3, e0) = all_52_12
% 203.88/34.33 (106) ~ (all_52_3 = all_10_2)
% 203.88/34.33 (107) ~ (e2 = e0)
% 203.88/34.33 (108) ~ (all_52_1 = all_52_13)
% 203.88/34.33 (109) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) = e2)
% 203.88/34.33 | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) =
% 203.88/34.33 e2)
% 203.88/34.33 (110) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)
% 203.88/34.33 | (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 = e1 & op(e0, e0) =
% 203.88/34.33 e1)
% 203.88/34.33 (111) op(e2, e1) = all_52_9
% 203.88/34.33 (112) ~ (all_52_6 = e1)
% 203.88/34.33 (113) op(e1, e2) = all_6_1
% 203.88/34.33 (114) all_54_2 = all_52_8
% 203.88/34.33 (115) ~ (all_6_2 = e2)
% 203.88/34.33 (116) all_30_2 = all_10_2
% 203.88/34.33 (117) op(e1, e3) = all_52_2
% 203.88/34.33 (118) ~ (all_52_4 = all_52_8)
% 203.88/34.33 (119) all_56_13 = e1
% 203.88/34.33 (120) ~ (all_52_14 = all_6_1)
% 203.88/34.33 (121) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) = e3)
% 203.88/34.33 | (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0, e0) =
% 203.88/34.33 e3)
% 203.88/34.33 (122) (all_58_0 = e2 &